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Popular Calculus Problems

integral from 0 to 5 of integral from x to 2x of x^2e^{x^2}	\int\:_{0}^{5}\int\:_{x}^{2x}x^{2}e^{x^{2}}dydx
integral from 0 to ln(10) of integral from 0 to ln(5) of e^{x+y}	\int\:_{0}^{\ln(10)}\int\:_{0}^{\ln(5)}e^{x+y}dxdy
integral of integral of x-y	\int\:\int\:x-y
integral of integral of integral of x^3	\int\:\int\:\int\:x^{3}dxdxdx
integral of integral of integral of z	\int\:\int\:\int\:zdxdydz
integral from 0 to 1 of integral from 0 to pi/2 of e^{-y}cos(x)	\int\:_{0}^{1}\int\:_{0}^{\frac{π}{2}}e^{-y}\cos(x)dxdy
integral from 1 to 2 of integral from-v to v of e^{u/v}*1/2	\int\:_{1}^{2}\int\:_{-v}^{v}e^{\frac{u}{v}}\cdot\:\frac{1}{2}dudv
integral of integral of sqrt(x)	\int\:\int\:\sqrt{x}dxdx
integral of integral of-2	\int\:\int\:-2dxdy
integral from 0 to 5 of integral from 0 to 6 of uv(1)	\int\:_{0}^{5}\int\:_{0}^{6}uv(1)dvdu
integral of integral of 6/7 x^{6/7}	\int\:\int\:\frac{6}{7}x^{\frac{6}{7}}dxdx
integral from 0 to 1 of integral from 0 to-2x+2 of 2e^{-x-2y}	\int\:_{0}^{1}\int\:_{0}^{-2x+2}2e^{-x-2y}dydx
integral of integral of sin(x)cos(y)	\int\:\int\:\sin(x)\cos(y)dxdy
integral of integral of e^{-(9x^2+y^2)}	\int\:\int\:e^{-(9x^{2}+y^{2})}dA
integral of integral of e^{3x}	\int\:\int\:e^{3x}dxdx
integral of integral of sin(x)+cos(x)	\int\:\int\:\sin(x)+\cos(x)dxdx
integral of integral of x+2y	\int\:\int\:x+2y
integral of integral of 2+cos(x)	\int\:\int\:2+\cos(x)dxdx
integral from 0 to 2pi of integral from 0 to 1 of re^{r^2}	\int\:_{0}^{2π}\int\:_{0}^{1}re^{r^{2}}drdθ
integral of integral of (16-x^2-2y^2)	\int\:\int\:(16-x^{2}-2y^{2})dxdy
integral from 0 to pi/2 of integral from 0 to 2 of x^2ycos(xy^2)	\int\:_{0}^{\frac{π}{2}}\int\:_{0}^{2}x^{2}y\cos(xy^{2})dydx
integral of integral of x*y	\int\:\int\:x\cdot\:ydxdy
integral of integral of (6x^2+4xy^3)	\int\:\int\:(6x^{2}+4xy^{3})dxdy
integral of integral of 3	\int\:\int\:3dxdy
integral of integral of e^{x/y}	\int\:\int\:e^{\frac{x}{y}}dxdy
integral of integral of xcos(y)	\int\:\int\:x\cos(y)dA
integral of integral of 1/2	\int\:\int\:\frac{1}{2}
integral from 0 to 1 of integral from 0 to 1 of sqrt(17+4z^2)	\int\:_{0}^{1}\int\:_{0}^{1}\sqrt{17+4z^{2}}dxdz
integral of integral of y	\int\:\int\:ydydy
limit as x approaches 3+of ln(1/(x-3))	\lim\:_{x\to\:3+}(\ln(\frac{1}{x-3}))
limit as x approaches 2 of x^3-5x^2+3x-4	\lim\:_{x\to\:2}(x^{3}-5x^{2}+3x-4)
limit as x approaches infinity of 1+x^{(-1)/2}+x^{(-2)/3}+x^{(1-x)/x}	\lim\:_{x\to\:\infty\:}(1+x^{\frac{-1}{2}}+x^{\frac{-2}{3}}+x^{\frac{1-x}{x}})
limit as x approaches 1+of (x^2)/(ln(x))	\lim\:_{x\to\:1+}(\frac{x^{2}}{\ln(x)})
limit as x approaches pi/2 of (sin^2(x))^{tan(x)}	\lim\:_{x\to\:\frac{π}{2}}((\sin^{2}(x))^{\tan(x)})
limit as x approaches-1 of 7	\lim\:_{x\to\:-1}(7)
limit as x approaches-3 of (x^2-2)/(x-4)	\lim\:_{x\to\:-3}(\frac{x^{2}-2}{x-4})
limit as x approaches-2 of 3x-4x^2	\lim\:_{x\to\:-2}(3x-4x^{2})
limit as x approaches 0 of (x^2)^{x^2}	\lim\:_{x\to\:0}((x^{2})^{x^{2}})
limit as x approaches 6-of (2x)/(x^2-36)	\lim\:_{x\to\:6-}(\frac{2x}{x^{2}-36})
limit as x approaches-2 of (x-3)/(x+2)	\lim\:_{x\to\:-2}(\frac{x-3}{x+2})
limit as x approaches 3-of sqrt(9-3x)	\lim\:_{x\to\:3-}(\sqrt{9-3x})
limit as x approaches 3 of ln\|x-3\|	\lim\:_{x\to\:3}(\ln\left\|x-3\right\|)
limit as x approaches 0+of-1+ln(x)*x	\lim\:_{x\to\:0+}(-1+\ln(x)\cdot\:x)
limit as x approaches-infinity of x,3	\lim\:_{x\to\:-\infty\:}(x,3)
limit as x approaches 0+of (ln(x+1))^x	\lim\:_{x\to\:0+}((\ln(x+1))^{x})
limit as x approaches 2 of (x^2+5)/(x+1)	\lim\:_{x\to\:2}(\frac{x^{2}+5}{x+1})
limit as x approaches 7-of ((x^2-5x-14))/(x^2-49)	\lim\:_{x\to\:7-}(\frac{(x^{2}-5x-14)}{x^{2}-49})
limit as n approaches infinity of nx^n	\lim\:_{n\to\:\infty\:}(nx^{n})
limit as x approaches 0 of (arctan(x)-arcsin(x))/(x(1-cos(x)))	\lim\:_{x\to\:0}(\frac{\arctan(x)-\arcsin(x)}{x(1-\cos(x))})
limit as x approaches 2 of (x^2+5)/(x-3)	\lim\:_{x\to\:2}(\frac{x^{2}+5}{x-3})
limit as x approaches 1+of x^{1/(x^4-1)}	\lim\:_{x\to\:1+}(x^{\frac{1}{x^{4}-1}})
limit as x approaches 4 of x^2+3x-8	\lim\:_{x\to\:4}(x^{2}+3x-8)
limit as x approaches 0 of (1+x)^{ln(x)}	\lim\:_{x\to\:0}((1+x)^{\ln(x)})
limit as x approaches 0+of (e^x-1)/(x^2)	\lim\:_{x\to\:0+}(\frac{e^{x}-1}{x^{2}})
limit as x approaches 0 of (sin(2x))/x+1	\lim\:_{x\to\:0}(\frac{\sin(2x)}{x}+1)
limit as x approaches 0+of sqrt(x)sin(1/(5x))	\lim\:_{x\to\:0+}(\sqrt{x}\sin(\frac{1}{5x}))
limit as x approaches 0 of (\sqrt[3]{x^3+8}-sqrt(x^2+4))/(x^2)	\lim\:_{x\to\:0}(\frac{\sqrt[3]{x^{3}+8}-\sqrt{x^{2}+4}}{x^{2}})
limit as x approaches 0 of 1/(sqrt(x)+1)	\lim\:_{x\to\:0}(\frac{1}{\sqrt{x}+1})
limit as x approaches 0 of ((a^x+b^x)/2)^{1/x}	\lim\:_{x\to\:0}((\frac{a^{x}+b^{x}}{2})^{\frac{1}{x}})
limit as x approaches 0+of 2xln(x)	\lim\:_{x\to\:0+}(2x\ln(x))
limit as x approaches 0 of ((x-3)^2-9)/x	\lim\:_{x\to\:0}(\frac{(x-3)^{2}-9}{x})
limit as x approaches 0+of (tan(x))^{sin(x)}	\lim\:_{x\to\:0+}((\tan(x))^{\sin(x)})
limit as x approaches 0+of (1-3x)^{2/x}	\lim\:_{x\to\:0+}((1-3x)^{\frac{2}{x}})
limit as x approaches e+of 1/(xln(x-1))	\lim\:_{x\to\:e+}(\frac{1}{x\ln(x-1)})
limit as x approaches 3 of (x+1)/(x-3)	\lim\:_{x\to\:3}(\frac{x+1}{x-3})
limit as x approaches 1-of ln(x)ln(1-x)	\lim\:_{x\to\:1-}(\ln(x)\ln(1-x))
limit as x approaches pi/2 of (1+cos(x))^{3sec(x)}	\lim\:_{x\to\:\frac{π}{2}}((1+\cos(x))^{3\sec(x)})
limit as x approaches 0+of xcos(1/x)	\lim\:_{x\to\:0+}(x\cos(\frac{1}{x}))
limit as x approaches 1 of (x^2)/(ln(x))	\lim\:_{x\to\:1}(\frac{x^{2}}{\ln(x)})
limit as x approaches 0 of (x+cos(x))/x	\lim\:_{x\to\:0}(\frac{x+\cos(x)}{x})
limit as x approaches 0+of (x+sin(x))^x	\lim\:_{x\to\:0+}((x+\sin(x))^{x})
limit as x approaches 0 of 1/x-1/(x^3-x)	\lim\:_{x\to\:0}(\frac{1}{x}-\frac{1}{x^{3}-x})
limit as x approaches 1 of 1/(1-x^3)	\lim\:_{x\to\:1}(\frac{1}{1-x^{3}})
limit as x approaches 4 of x^2+3x-5	\lim\:_{x\to\:4}(x^{2}+3x-5)
limit as x approaches 2 of (x-1)^{6/((x-2))}	\lim\:_{x\to\:2}((x-1)^{\frac{6}{(x-2)}})
limit as x approaches infinity of ((4x^3-1)/(3x^2+2))sin(1/x)	\lim\:_{x\to\:\infty\:}((\frac{4x^{3}-1}{3x^{2}+2})\sin(\frac{1}{x}))
limit as x approaches 3-of (x^3)/(x-3)	\lim\:_{x\to\:3-}(\frac{x^{3}}{x-3})
limit as x approaches 0 of xln(x^4)	\lim\:_{x\to\:0}(x\ln(x^{4}))
limit as x approaches 2 of (x^2-3)/(x-2)	\lim\:_{x\to\:2}(\frac{x^{2}-3}{x-2})
limit as x approaches 0 of (3x-sin(x))/x	\lim\:_{x\to\:0}(\frac{3x-\sin(x)}{x})
limit as x approaches 0 of tan(x)-x	\lim\:_{x\to\:0}(\tan(x)-x)
limit as y approaches 3 of (y^3-13y+12)/(y^3-14y+15)	\lim\:_{y\to\:3}(\frac{y^{3}-13y+12}{y^{3}-14y+15})
limit as x approaches 0 of (tan(4x))/(2x)	\lim\:_{x\to\:0}(\frac{\tan(4x)}{2x})
limit as x approaches-7 of (4x-1)/(x+7)	\lim\:_{x\to\:-7}(\frac{4x-1}{x+7})
limit as x approaches 8+of x/(x-8)	\lim\:_{x\to\:8+}(\frac{x}{x-8})
limit as h approaches 0 of f(x,h)(x+h)	\lim\:_{h\to\:0}(f(x,h)(x+h))
limit as x approaches 0 of (4x)^x	\lim\:_{x\to\:0}((4x)^{x})
limit as x approaches 0 of (1+x^2)^{3/x}	\lim\:_{x\to\:0}((1+x^{2})^{\frac{3}{x}})
limit as x approaches-infinity of e^x+3	\lim\:_{x\to\:-\infty\:}(e^{x}+3)
limit as x approaches 1-of x/(1-x)	\lim\:_{x\to\:1-}(\frac{x}{1-x})
limit as x approaches 3-of (5x)/(x-3)	\lim\:_{x\to\:3-}(\frac{5x}{x-3})
limit as x approaches 0 of (ln(x+1))^x	\lim\:_{x\to\:0}((\ln(x+1))^{x})
limit as x approaches a of 3x^2+4x-5	\lim\:_{x\to\:a}(3x^{2}+4x-5)
limit as x approaches-pi/2+of cos(x)	\lim\:_{x\to\:-\frac{π}{2}+}(\cos(x))
limit as x approaches infinity of (10-6x^2)/(5+3e^x)	\lim\:_{x\to\:\infty\:}(\frac{10-6x^{2}}{5+3e^{x}})
limit as x approaches-2-of (x-2)/(x^2-4)	\lim\:_{x\to\:-2-}(\frac{x-2}{x^{2}-4})
limit as x approaches 0+of-1+ln(x)x	\lim\:_{x\to\:0+}(-1+\ln(x)x)
limit as x approaches 4 of (x-4)/(4-x)	\lim\:_{x\to\:4}(\frac{x-4}{4-x})
limit as x approaches 0 of (7^x-1)/(5x)	\lim\:_{x\to\:0}(\frac{7^{x}-1}{5x})
limit as x approaches 2 of 7/(x-1)	\lim\:_{x\to\:2}(\frac{7}{x-1})

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