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Popular Calculus Problems
integral of csch^2(x)
\int\:\csch^{2}(x)dx
derivative of 3^3
\frac{d}{dx}(3^{3})
integral of (x^2-5x-6)/(x^2-4)
\int\:\frac{x^{2}-5x-6}{x^{2}-4}dx
(\partial)/(\partial x)(3xe^{2xy})
\frac{\partial\:}{\partial\:x}(3xe^{2xy})
integral from 0 to ln(4) of pi(e^{-x})^2
\int\:_{0}^{\ln(4)}π(e^{-x})^{2}dx
(\partial)/(\partial x)((1+x^2)^{zsin(y)})
\frac{\partial\:}{\partial\:x}((1+x^{2})^{z\sin(y)})
tangent of f(x)=((x+1))/((x-1))
tangent\:f(x)=\frac{(x+1)}{(x-1)}
integral from 1 to x of 2/(x^3)
\int\:_{1}^{x}\frac{2}{x^{3}}dx
tangent of y=(x-1)/(x+1)
tangent\:y=\frac{x-1}{x+1}
derivative of 7x^{-6}-5x^{-3}
\frac{d}{dx}(7x^{-6}-5x^{-3})
derivative of y=-10
derivative\:y=-10
36y^{''}+36y^'+11y=0,y(0)=6,y^'(0)=5
36y^{\prime\:\prime\:}+36y^{\prime\:}+11y=0,y(0)=6,y^{\prime\:}(0)=5
tangent of 6/(3x+1),\at a=-1
tangent\:\frac{6}{3x+1},\at\:a=-1
integral of (cos(x)+1/8 x)
\int\:(\cos(x)+\frac{1}{8}x)dx
limit as x approaches 3-of e^{2/(3-x)}
\lim\:_{x\to\:3-}(e^{\frac{2}{3-x}})
(2y-x^3)dx=xdy
(2y-x^{3})dx=xdy
integral from 5 to 10 of e^x
\int\:_{5}^{10}e^{x}dx
integral of 1/(3cos(x)-4sin(x))
\int\:\frac{1}{3\cos(x)-4\sin(x)}dx
limit as x approaches-8-of (x+3)/(x+8)
\lim\:_{x\to\:-8-}(\frac{x+3}{x+8})
integral of 9/(x(x^4+1))
\int\:\frac{9}{x(x^{4}+1)}dx
integral of 2x^{25}
\int\:2x^{25}dx
limit as n approaches infinity of \sqrt[n]{n^3}
\lim\:_{n\to\:\infty\:}(\sqrt[n]{n^{3}})
derivative of f(x)=x^4-2x^3-12x^2+4x-3
derivative\:f(x)=x^{4}-2x^{3}-12x^{2}+4x-3
integral of 1/2 e^x
\int\:\frac{1}{2}e^{x}dx
derivative of 4sin^3(2x)
\frac{d}{dx}(4\sin^{3}(2x))
integral of 1/((w^2+5)^{3/2)}
\int\:\frac{1}{(w^{2}+5)^{\frac{3}{2}}}dw
derivative of (x^2ln(x)^4)
\frac{d}{dx}((x^{2}\ln(x))^{4})
derivative of y= 1/3 cos((6pix-1)/2)
derivative\:y=\frac{1}{3}\cos(\frac{6πx-1}{2})
integral of-e^x-7/(cos^2(x))
\int\:-e^{x}-\frac{7}{\cos^{2}(x)}dx
integral of 3/2 e^{3/2 x}
\int\:\frac{3}{2}e^{\frac{3}{2}x}dx
derivative of e^3ln(e^3)
derivative\:e^{3}\ln(e^{3})
(4x-3y)dx+(2y-3x)dy=0
(4x-3y)dx+(2y-3x)dy=0
integral from 0 to 1 of sin(4pix)
\int\:_{0}^{1}\sin(4πx)dx
integral of (2x)/(3+x^2)
\int\:\frac{2x}{3+x^{2}}dx
integral of 14cot(7x)csc^2(7x)
\int\:14\cot(7x)\csc^{2}(7x)dx
integral of (t^5)/(sqrt(t^2+7))
\int\:\frac{t^{5}}{\sqrt{t^{2}+7}}dt
integral of sec^2(3x)tan(3x)
\int\:\sec^{2}(3x)\tan(3x)dx
integral of 4ln(9x^2)
\int\:4\ln(9x^{2})dx
integral of zln(2)
\int\:z\ln(2)
integral of e^{ln(x)}
\int\:e^{\ln(x)}dx
(dy)/(dx)=2sqrt(y+1)cos(x)
\frac{dy}{dx}=2\sqrt{y+1}\cos(x)
derivative of 5sec(7x)
derivative\:5\sec(7x)
derivative of ln(sin^2(x))
derivative\:\ln(\sin^{2}(x))
(dy)/(dx)=x+2xy
\frac{dy}{dx}=x+2xy
y^{''}-2y^'=(4t+9)sin(2t)
y^{\prime\:\prime\:}-2y^{\prime\:}=(4t+9)\sin(2t)
derivative of 3/2 sin(2x)
\frac{d}{dx}(\frac{3}{2}\sin(2x))
derivative of sqrt(2sin(x))
\frac{d}{dx}(\sqrt{2\sin(x)})
integral of xcsc^2(4x)
\int\:x\csc^{2}(4x)dx
integral from-1 to 1 of 0.09375(4-x^2)
\int\:_{-1}^{1}0.09375(4-x^{2})dx
integral of 24x(6-x^2)^{1/3}
\int\:24x(6-x^{2})^{\frac{1}{3}}dx
derivative of c/x+(2a)/(x^3)+8
derivative\:\frac{c}{x}+\frac{2a}{x^{3}}+8
derivative of (1+csc(x^9)/(1-cot(x^9)))
\frac{d}{dx}(\frac{1+\csc(x^{9})}{1-\cot(x^{9})})
(\partial)/(\partial y)(ln(2w^3-7y+3xy^2))
\frac{\partial\:}{\partial\:y}(\ln(2w^{3}-7y+3xy^{2}))
derivative of y=(6x)/(1-tan(x))
derivative\:y=\frac{6x}{1-\tan(x)}
(\partial)/(\partial x)(x^{1/4}*y^{1/2})
\frac{\partial\:}{\partial\:x}(x^{\frac{1}{4}}\cdot\:y^{\frac{1}{2}})
integral from 0 to 2 of pi(x^2-L)^2
\int\:_{0}^{2}π(x^{2}-L)^{2}dx
integral of (x^6+1)
\int\:(x^{6}+1)dx
limit as y approaches 0 of (sin(y))/y
\lim\:_{y\to\:0}(\frac{\sin(y)}{y})
derivative of 0.5
\frac{d}{dx}(0.5)
integral of 1/(sin^2(x)cos(x))
\int\:\frac{1}{\sin^{2}(x)\cos(x)}dx
integral of (|x|+1)
\int\:(\left|x\right|+1)dx
derivative of 1/(1+5x^2)
derivative\:\frac{1}{1+5x^{2}}
tangent of f(x)=sqrt(5x+1),\at x=7
tangent\:f(x)=\sqrt{5x+1},\at\:x=7
integral of cos(ln(x))
\int\:\cos(\ln(x))dx
integral of (x^2)/(sqrt(49+x^2))
\int\:\frac{x^{2}}{\sqrt{49+x^{2}}}dx
y^'+y=2,y(0)=0
y^{\prime\:}+y=2,y(0)=0
slope of (-5.3)(7.9)
slope\:(-5.3)(7.9)
integral from 0 to 1 of 5xe^{-x^2}
\int\:_{0}^{1}5xe^{-x^{2}}dx
tangent of f(x)=x^2+8,(1,9)
tangent\:f(x)=x^{2}+8,(1,9)
derivative of 3sin^2(2x)
\frac{d}{dx}(3\sin^{2}(2x))
derivative of (sin(x^2)/(sin^2(x)))
\frac{d}{dx}(\frac{\sin(x^{2})}{\sin^{2}(x)})
derivative of f(x)=2^{20}
derivative\:f(x)=2^{20}
derivative of f(x)=2-x
derivative\:f(x)=2-x
derivative of ((3x^2-5^4)/((4x^3+2)^5))
\frac{d}{dx}(\frac{(3x^{2}-5)^{4}}{(4x^{3}+2)^{5}})
integral of (x^4+2x^2-1)/(sqrt(x))
\int\:\frac{x^{4}+2x^{2}-1}{\sqrt{x}}dx
integral of sqrt(16-4x^2)
\int\:\sqrt{16-4x^{2}}dx
derivative of 1/2 sec(2x)
derivative\:\frac{1}{2}\sec(2x)
(dy)/(dx)-y/x =2x^2ln(x)
\frac{dy}{dx}-\frac{y}{x}=2x^{2}\ln(x)
area y= 3/x ,y= x/(12),1<= x<= 6
area\:y=\frac{3}{x},y=\frac{x}{12},1\le\:x\le\:6
limit as x approaches 0 of-1+1/x
\lim\:_{x\to\:0}(-1+\frac{1}{x})
integral from 2 to 3 of (16)/(sqrt(3-x))
\int\:_{2}^{3}\frac{16}{\sqrt{3-x}}dx
derivative of (x^3/6-3x)
\frac{d}{dx}(\frac{x^{3}}{6}-3x)
integral from 0 to 4 of 1/(x^2-2x-3)
\int\:_{0}^{4}\frac{1}{x^{2}-2x-3}dx
derivative of sin^4(6x^2)
derivative\:\sin^{4}(6x^{2})
integral of sin(3x+4)
\int\:\sin(3x+4)dx
limit as x approaches 1 of x(x-2)
\lim\:_{x\to\:1}(x(x-2))
derivative of sinh(9x)
\frac{d}{dx}(\sinh(9x))
derivative of (x-7/(x+2))
\frac{d}{dx}(\frac{x-7}{x+2})
derivative of 4x-2y
\frac{d}{dx}(4x-2y)
(dy)/(dx)-2xy=6x,y(0)=-7
\frac{dy}{dx}-2xy=6x,y(0)=-7
derivative of 7-4/(x-8+(2x)/(3x+1))
\frac{d}{dx}(7-\frac{4}{x-8}+\frac{2x}{3x+1})
integral of (31)/((1-x^2)^{3/2)}
\int\:\frac{31}{(1-x^{2})^{\frac{3}{2}}}dx
integral of tan(6x+1)
\int\:\tan(6x+1)dx
derivative of (-2x+3x^{-2}ln(x))
\frac{d}{dx}((-2x+3x^{-2})\ln(x))
derivative of arcsin(x/7)
derivative\:\arcsin(\frac{x}{7})
derivative of y=4^{-x}sin(x)
derivative\:y=4^{-x}\sin(x)
integral of (9-x^2)/(7x^3+x)
\int\:\frac{9-x^{2}}{7x^{3}+x}dx
limit as x approaches 2 of (x^7-128)/(x-2)
\lim\:_{x\to\:2}(\frac{x^{7}-128}{x-2})
derivative of ee^x
\frac{d}{dx}(ee^{x})
integral of-2xy
\int\:-2xydx
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