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Popular Calculus Problems

integral of (2x+4)cos(x^2+4x-6)	\int\:(2x+4)\cos(x^{2}+4x-6)dx
integral of xsin(npix)	\int\:x\sin(nπx)dx
integral from 0 to x of t(e^{t^3}-1)	\int\:_{0}^{x}t(e^{t^{3}}-1)dt
integral of cos^3(3θ)sin^{-2}(3θ)	\int\:\cos^{3}(3θ)\sin^{-2}(3θ)dθ
derivative of (2t+1)/(t+3)	derivative\:\frac{2t+1}{t+3}
derivative of 8x+9xe^x	derivative\:8x+9xe^{x}
integral of cos((npix)/L)	\int\:\cos(\frac{nπx}{L})dx
derivative of 3^{2x^2}*sqrt(x)	\frac{d}{dx}(3^{2x^{2}}\cdot\:\sqrt{x})
derivative of (10/(x^2+1))	\frac{d}{dx}(\frac{10}{x^{2}+1})
limit as x approaches-4 of 1/2 x-1	\lim\:_{x\to\:-4}(\frac{1}{2}x-1)
derivative of (7e^xx^{5/2})/2+e^xx^{7/2}	derivative\:\frac{7e^{x}x^{\frac{5}{2}}}{2}+e^{x}x^{\frac{7}{2}}
derivative of y=5cos^2(pix)	derivative\:y=5\cos^{2}(πx)
derivative of ln(2x+3y)	\frac{d}{dx}(\ln(2x+3y))
(2x^2y+2y+5)dx+(2x^3+2x)dy=0	(2x^{2}y+2y+5)dx+(2x^{3}+2x)dy=0
integral of e^{-ax}x	\int\:e^{-ax}xdx
derivative of f(x)=(3x)/(7x^2+1)	derivative\:f(x)=\frac{3x}{7x^{2}+1}
(\partial)/(\partial x)(3y-x/(y^2))	\frac{\partial\:}{\partial\:x}(3y-\frac{x}{y^{2}})
area tan(3x),2sin(3x),-pi/9 , pi/9	area\:\tan(3x),2\sin(3x),-\frac{π}{9},\frac{π}{9}
derivative of 4sec^2(x)	derivative\:4\sec^{2}(x)
integral of sec^2(θ)-1	\int\:\sec^{2}(θ)-1dθ
integral of e^x-2/(sqrt(x))	\int\:e^{x}-\frac{2}{\sqrt{x}}dx
integral from-3 to 0 of (x^2-4x+7)	\int\:_{-3}^{0}(x^{2}-4x+7)dx
integral of (x+3)sqrt(2-x)	\int\:(x+3)\sqrt{2-x}dx
limit as x approaches 4-of 5(x)-7	\lim\:_{x\to\:4-}(5(x)-7)
derivative of arccos(sqrt(1-x^2))	derivative\:\arccos(\sqrt{1-x^{2}})
tangent of y=2x^2+5x	tangent\:y=2x^{2}+5x
integral of (sqrt(x)+1/(9sqrt(x)))	\int\:(\sqrt{x}+\frac{1}{9\sqrt{x}})dx
integral of ln(1+x^3)	\int\:\ln(1+x^{3})dx
y^'+9xe^y=0	y^{\prime\:}+9xe^{y}=0
(\partial}{\partial y}(\frac{3x)/y)	\frac{\partial\:}{\partial\:y}(\frac{3x}{y})
y^'=4-y	y^{\prime\:}=4-y
integral of (2/(x^3)+3/(x^2)+5)	\int\:(\frac{2}{x^{3}}+\frac{3}{x^{2}}+5)dx
limit as x approaches 0 of x^2cos(9/x)	\lim\:_{x\to\:0}(x^{2}\cos(\frac{9}{x}))
integral of (2x)/(9x^2-12x+8)	\int\:\frac{2x}{9x^{2}-12x+8}dx
tangent of y=x+sqrt(x),(9,12)	tangent\:y=x+\sqrt{x},(9,12)
derivative of-8e^{-x/(10}-40)	\frac{d}{dx}(-8e^{-\frac{x}{10}}-40)
integral from 0 to 8 of 4/((x-6)^3)	\int\:_{0}^{8}\frac{4}{(x-6)^{3}}dx
integral of 5xe^{4x}	\int\:5xe^{4x}dx
integral of (3x-4)*e^{-x}	\int\:(3x-4)\cdot\:e^{-x}dx
integral of sin(((npix))/2)	\int\:\sin(\frac{(nπx)}{2})dx
integral of (6x^2)(2x^3+5)^6	\int\:(6x^{2})(2x^{3}+5)^{6}dx
((x^2)/((x-2)^2))^'	(\frac{x^{2}}{(x-2)^{2}})^{\prime\:}
y^{''}+3y^'+2y=sin(e^x)	y^{\prime\:\prime\:}+3y^{\prime\:}+2y=\sin(e^{x})
integral from 1 to 2 of 3/(sqrt(4x-x^2))	\int\:_{1}^{2}\frac{3}{\sqrt{4x-x^{2}}}dx
tangent of f(x)=sqrt(x-4),\at x=13	tangent\:f(x)=\sqrt{x-4},\at\:x=13
y^'=-(2x)/y	y^{\prime\:}=-\frac{2x}{y}
(dy)/(dx)=(8x)/(5y)	\frac{dy}{dx}=\frac{8x}{5y}
integral of (x^2+4)^2	\int\:(x^{2}+4)^{2}dx
limit as x approaches infinity of-5x^3	\lim\:_{x\to\:\infty\:}(-5x^{3})
integral of x^3-3x	\int\:x^{3}-3xdx
derivative of 100e^x	\frac{d}{dx}(100e^{x})
y^{''}+y=tan(x)	y^{\prime\:\prime\:}+y=\tan(x)
tangent of f(x)=x^2+x,\at x=3	tangent\:f(x)=x^{2}+x,\at\:x=3
derivative of sqrt(-7x-10)	\frac{d}{dx}(\sqrt{-7x-10})
integral of 2^2	\int\:2^{2}dx
d/(dy)(e^{-2y})	\frac{d}{dy}(e^{-2y})
integral of (ln^2(y))/(3y+8yln^3(y))	\int\:\frac{\ln^{2}(y)}{3y+8y\ln^{3}(y)}dy
derivative of-xe^{2x}	\frac{d}{dx}(-xe^{2x})
area x^2-8,7x	area\:x^{2}-8,7x
limit as x approaches pi/2-of cos(x)	\lim\:_{x\to\:\frac{π}{2}-}(\cos(x))
(dy)/(dx)= 1/4 y	\frac{dy}{dx}=\frac{1}{4}y
derivative of f(x)=sin(x^2+2)	derivative\:f(x)=\sin(x^{2}+2)
(d^2)/(dx^2)(e^{2x^2})	\frac{d^{2}}{dx^{2}}(e^{2x^{2}})
implicit (dy)/(dx),e^{9x}=sin(x+8y)	implicit\:\frac{dy}{dx},e^{9x}=\sin(x+8y)
limit as x approaches 8-of (\|x-8\|)/(x-8)	\lim\:_{x\to\:8-}(\frac{\left\|x-8\right\|}{x-8})
implicit (dy)/(dx),9x=y^2	implicit\:\frac{dy}{dx},9x=y^{2}
integral of xe^{3x}	\int\:x\cdot\:e^{3\cdot\:x}dx
limit as x approaches-3 of 5(3x^2-24x+3)	\lim\:_{x\to\:-3}(5(3x^{2}-24x+3))
derivative of 2\sqrt[4]{9-x^2}	derivative\:2\sqrt[4]{9-x^{2}}
integral of (cos(θ))/(sqrt(2+sin^2(θ)))	\int\:\frac{\cos(θ)}{\sqrt{2+\sin^{2}(θ)}}dθ
limit as x approaches 0 of (4x^2)/x	\lim\:_{x\to\:0}(\frac{4x^{2}}{x})
(\partial)/(\partial x)((41-x^2-y^2)^{1/2})	\frac{\partial\:}{\partial\:x}((41-x^{2}-y^{2})^{\frac{1}{2}})
integral from 0 to 1 of xe^{-4x}	\int\:_{0}^{1}xe^{-4x}dx
derivative of 3e^{2x}+2e^{2x}x	\frac{d}{dx}(3e^{2x}+2e^{2x}x)
derivative of (x^6)/6+1/(16x^4)	derivative\:\frac{x^{6}}{6}+\frac{1}{16x^{4}}
integral from 0 to 1 of 7x5^x	\int\:_{0}^{1}7x5^{x}dx
derivative of ((2x+1))/(x+2)	derivative\:\frac{(2x+1)}{x+2}
d/(dt)(2t^4)	\frac{d}{dt}(2t^{4})
integral of 3x^{1/2}	\int\:3x^{\frac{1}{2}}dx
derivative of f(x)50-sqrt(x)	derivative\:f(x)50-\sqrt{x}
integral of 1/((1+4x^2))	\int\:\frac{1}{(1+4x^{2})}dx
(dx)/(dt)-3x=cos(4t)	\frac{dx}{dt}-3x=\cos(4t)
integral of (3x+1)(3x^2+2x)^{1/3}	\int\:(3x+1)(3x^{2}+2x)^{\frac{1}{3}}dx
derivative of 1/(x^2-2x+2)	\frac{d}{dx}(\frac{1}{x^{2}-2x+2})
(df)/(dx)f(x)=cos(2x)	\frac{df}{dx}f(x)=\cos(2x)
(cos(7x))y^'-7(tan(7x))y=9sec(7x)	(\cos(7x))y^{\prime\:}-7(\tan(7x))y=9\sec(7x)
integral from 1 to 2 of 3/(x^4)	\int\:_{1}^{2}\frac{3}{x^{4}}dx
(dr)/(dθ)=(r^2+4rθ)/(2θ^2)	\frac{dr}{dθ}=\frac{r^{2}+4rθ}{2θ^{2}}
derivative of sin(3x^2+2)	derivative\:\sin(3x^{2}+2)
d/(dz)(1/(z^2))	\frac{d}{dz}(\frac{1}{z^{2}})
derivative of ln(1+e^{-ax})	derivative\:\ln(1+e^{-ax})
integral of (x+1)(6x-5)	\int\:(x+1)(6x-5)dx
integral of ((x^2+x+1))/(sqrt(x))	\int\:\frac{(x^{2}+x+1)}{\sqrt{x}}dx
derivative of sex^2(x)	\frac{d}{dx}(sex^{2}(x))
integral of t^2cos(t)	\int\:t^{2}\cos(t)dt
derivative of (x-9)(x-3)^2	derivative\:(x-9)(x-3)^{2}
derivative of y=x^{5sin(x)}	derivative\:y=x^{5\sin(x)}
integral of (x*arcsin(x))/(sqrt(1-x^2))	\int\:\frac{x\cdot\:\arcsin(x)}{\sqrt{1-x^{2}}}dx
derivative of-xe^{-x}+e^{-x}	derivative\:-xe^{-x}+e^{-x}
derivative of 2e^x+e^xx	\frac{d}{dx}(2e^{x}+e^{x}x)

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