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Popular Calculus Problems

derivative of e^x*cos(y)	\frac{d}{dx}(e^{x}\cdot\:\cos(y))
integral of ye^y	\int\:ye^{y}dy
limit as x approaches infinity of 5x+4	\lim\:_{x\to\:\infty\:}(5x+4)
(\partial)/(\partial x)(xsin(7x^2y))	\frac{\partial\:}{\partial\:x}(x\sin(7x^{2}y))
limit as x approaches 0 of (x^2+1)/x	\lim\:_{x\to\:0}(\frac{x^{2}+1}{x})
derivative of G(t)=(1-5t)/(4+t)	derivative\:G(t)=\frac{1-5t}{4+t}
(\partial)/(\partial y)(-y/((x^2+y^2)))	\frac{\partial\:}{\partial\:y}(-\frac{y}{(x^{2}+y^{2})})
integral of sqrt(e^{2t)}	\int\:\sqrt{e^{2t}}dt
integral of (sqrt(9-x^2))/(2x^2)	\int\:\frac{\sqrt{9-x^{2}}}{2x^{2}}dx
derivative of (x^2-2x+2)e^{(5x)/2}	derivative\:(x^{2}-2x+2)e^{\frac{5x}{2}}
slope of x^2+y^2=26	slope\:x^{2}+y^{2}=26
derivative of-x^3+5x^2-8x	\frac{d}{dx}(-x^{3}+5x^{2}-8x)
integral from 0 to 2 of x^3sqrt(7-x^2)	\int\:_{0}^{2}x^{3}\sqrt{7-x^{2}}dx
derivative of 1-e^{-0.1x}	\frac{d}{dx}(1-e^{-0.1x})
(\partial)/(\partial x)(xy-1/x-1/y)	\frac{\partial\:}{\partial\:x}(xy-\frac{1}{x}-\frac{1}{y})
derivative of f(x)= 1/(x-2)	derivative\:f(x)=\frac{1}{x-2}
slope of (4x+4y)^3=64x^3+64y^3(-1.1)	slope\:(4x+4y)^{3}=64x^{3}+64y^{3}(-1.1)
integral of 8x^3+3sin(x)	\int\:8x^{3}+3\sin(x)dx
integral from 2 to 3 of (2x-3)/(sqrt(4x-x^2))	\int\:_{2}^{3}\frac{2x-3}{\sqrt{4x-x^{2}}}dx
integral of sin(3x-2)e^{2x}	\int\:\sin(3x-2)e^{2x}dx
integral of 1/((2+x)^3)	\int\:\frac{1}{(2+x)^{3}}dx
y^{''}+2y=sin(sqrt(2)x)	y^{\prime\:\prime\:}+2y=\sin(\sqrt{2}x)
derivative of (x^4-3x^2+1/((2x+3)^4))	\frac{d}{dx}(\frac{x^{4}-3x^{2}+1}{(2x+3)^{4}})
derivative of (2x/2)	\frac{d}{dx}(\frac{2x}{2})
slope of 4x^2+16y^2-51	slope\:4x^{2}+16y^{2}-51
(\partial)/(\partial x)(ln\|sqrt(e^{1+x^2)+3x^4}+cot^2(pix)\|)	\frac{\partial\:}{\partial\:x}(\ln\left\|\sqrt{e^{1+x^{2}}+3x^{4}}+\cot^{2}(πx)\right\|)
limit as x approaches-2 of x^2+3x-1	\lim\:_{x\to\:-2}(x^{2}+3x-1)
integral of 2sin(x)cos(x)	\int\:2\cdot\:\sin(x)\cdot\:\cos(x)dx
derivative of In(x^2y)	\frac{d}{dx}(In(x^{2}y))
((x^2+1)dy)/(dx)+xy-x=0	\frac{(x^{2}+1)dy}{dx}+xy-x=0
laplacetransform e^{2t}sin(2t)	laplacetransform\:e^{2t}\sin(2t)
inverse oflaplace S^2	inverselaplace\:S^{2}
integral of sin(t)*cos(t)	\int\:\sin(t)\cdot\:\cos(t)dt
limit as x approaches 2 of 3x^2+2x	\lim\:_{x\to\:2}(3x^{2}+2x)
area x=sqrt(y),x=2-y,y=0	area\:x=\sqrt{y},x=2-y,y=0
derivative of g(x)=x^3-7x^2+2x+40	derivative\:g(x)=x^{3}-7x^{2}+2x+40
derivative of 2e^{-4x}	\frac{d}{dx}(2e^{-4x})
integral of 1/((9x^2+1)^{5/2)}	\int\:\frac{1}{(9x^{2}+1)^{\frac{5}{2}}}dx
volumeabout x=-1,x=y^3,[0,1]	volumeabout\:x=-1,x=y^{3},[0,1]
derivative of sqrt(8+cot^2(x))	\frac{d}{dx}(\sqrt{8+\cot^{2}(x)})
limit as x approaches 2 of 3x^3+x^2-8	\lim\:_{x\to\:2}(3x^{3}+x^{2}-8)
derivative of f(x)=6x^9e^x	derivative\:f(x)=6x^{9}e^{x}
derivative of px+d	derivative\:px+d
derivative of 4xln(x+10)	\frac{d}{dx}(4x\ln(x)+10)
derivative of 4x^2-x+sqrt(x)	\frac{d}{dx}(4x^{2}-x+\sqrt{x})
taylor e^x+1/(1+x)	taylor\:e^{x}+\frac{1}{1+x}
d/(dt)(ln(sec(t)))	\frac{d}{dt}(\ln(\sec(t)))
(d^2)/(dx^2)(x^2cos(x))	\frac{d^{2}}{dx^{2}}(x^{2}\cos(x))
integral of x/((3x^2-1))	\int\:\frac{x}{(3x^{2}-1)}dx
integral from 1 to 5 of 1/(x-2)	\int\:_{1}^{5}\frac{1}{x-2}dx
sum from n=1 to infinity of n/(1+3n)	\sum\:_{n=1}^{\infty\:}\frac{n}{1+3n}
sum from n=1 to infinity of 1/(n^{0.5)}	\sum\:_{n=1}^{\infty\:}\frac{1}{n^{0.5}}
d/(dt)(4e^{-3t})	\frac{d}{dt}(4e^{-3t})
d/(dA)(-cos(2)(A)-sin(2)(A))	\frac{d}{dA}(-\cos(2)(A)-\sin(2)(A))
integral of 1/(x+y)	\int\:\frac{1}{x+y}dx
derivative of f(x)=(2x^2+4x+2)/(sqrt(x))	derivative\:f(x)=\frac{2x^{2}+4x+2}{\sqrt{x}}
(\partial)/(\partial x)(y+3xy^2-18)	\frac{\partial\:}{\partial\:x}(y+3xy^{2}-18)
tangent of f(x)=sin(x),\at x=(7pi)/6	tangent\:f(x)=\sin(x),\at\:x=\frac{7π}{6}
limit as x approaches 2 of (8-x^3)/(x^2-2x)	\lim\:_{x\to\:2}(\frac{8-x^{3}}{x^{2}-2x})
limit as x approaches infinity of (1-x\sqrt[x]{x})/(x-sin(x))	\lim\:_{x\to\:\infty\:}(\frac{1-x\sqrt[x]{x}}{x-\sin(x)})
integral of (x+sqrt(x))/(x^2)	\int\:\frac{x+\sqrt{x}}{x^{2}}dx
derivative of 7sin(x-7xcos(x))	\frac{d}{dx}(7\sin(x)-7x\cos(x))
integral from 0 to pi of 2sin(x)	\int\:_{0}^{π}2\sin(x)dx
d/(dθ)(-8sin(θ))	\frac{d}{dθ}(-8\sin(θ))
inverse oflaplace 2/(s+10.04)	inverselaplace\:\frac{2}{s+10.04}
limit as x approaches-infinity of 3-4x^2	\lim\:_{x\to\:-\infty\:}(3-4x^{2})
limit as x approaches infinity of (x^3)/(2^x)	\lim\:_{x\to\:\infty\:}(\frac{x^{3}}{2^{x}})
integral of sin(-2x)	\int\:\sin(-2x)dx
limit as x approaches 6 of 6	\lim\:_{x\to\:6}(6)
limit as x approaches-1 of (3+x)/(x^2-1)	\lim\:_{x\to\:-1}(\frac{3+x}{x^{2}-1})
integral of e^{-3x}cos(4x)	\int\:e^{-3x}\cos(4x)dx
integral of (9x^5-3x^2+7)	\int\:(9x^{5}-3x^{2}+7)dx
(d^2)/(dx^2)(xln(x))	\frac{d^{2}}{dx^{2}}(x\ln(x))
integral of (x/(x+1))	\int\:(\frac{x}{x+1})dx
integral of tan^3(3x)sec(3x)	\int\:\tan^{3}(3x)\sec(3x)dx
integral of 1/((k-1)^4)	\int\:\frac{1}{(k-1)^{4}}
derivative of y=(3x^2+2)/(sqrt(x+1))	derivative\:y=\frac{3x^{2}+2}{\sqrt{x+1}}
integral of 1/(sqrt(x+1)+\sqrt{x)}	\int\:\frac{1}{\sqrt{x+1}+\sqrt{x}}dx
(d^3)/(dx^3)(sqrt(4x-3))	\frac{d^{3}}{dx^{3}}(\sqrt{4x-3})
integral of (2x+6)/(x^2+1)	\int\:\frac{2x+6}{x^{2}+1}dx
limit as x approaches 2-of 3-x	\lim\:_{x\to\:2-}(3-x)
derivative of csc(4x^4-2)	\frac{d}{dx}(\csc(4x^{4}-2))
limit as x approaches 0 of (x^2)cos(7/x)	\lim\:_{x\to\:0}((x^{2})\cos(\frac{7}{x}))
area y=9x^2,y^2= 1/9 x	area\:y=9x^{2},y^{2}=\frac{1}{9}x
integral of x^2e^{12x}	\int\:x^{2}e^{12x}dx
(\partial)/(\partial x)(e^{7xy}ln(4y))	\frac{\partial\:}{\partial\:x}(e^{7xy}\ln(4y))
integral of tan(9x)	\int\:\tan(9x)dx
derivative of-sqrt(x^2+y^2)	\frac{d}{dx}(-\sqrt{x^{2}+y^{2}})
integral from 0 to 2 of 10e^{2x}	\int\:_{0}^{2}10e^{2x}dx
integral of 3x^2arctan(x^3)	\int\:3x^{2}\arctan(x^{3})dx
limit as x approaches 3+of 9-x^2	\lim\:_{x\to\:3+}(9-x^{2})
(\partial)/(\partial x)(e^{3x}sin(2y))	\frac{\partial\:}{\partial\:x}(e^{3x}\sin(2y))
derivative of x^2-3x+7	derivative\:x^{2}-3x+7
area f(x)=x^2+4,g(x)=-x^2-1,[-2,3]	area\:f(x)=x^{2}+4,g(x)=-x^{2}-1,[-2,3]
limit as x approaches 2 of (x-3)/(x+5)	\lim\:_{x\to\:2}(\frac{x-3}{x+5})
y^{''}-2y^'+4y=0,y^'(0)=2,y(0)=1	y^{\prime\:\prime\:}-2y^{\prime\:}+4y=0,y^{\prime\:}(0)=2,y(0)=1
(\partial)/(\partial x)(-2)	\frac{\partial\:}{\partial\:x}(-2)
(\partial)/(\partial x)(y*cos(y-2x))	\frac{\partial\:}{\partial\:x}(y\cdot\:\cos(y-2x))
sum from n=0 to infinity of 9((x-3)/4)^n	\sum\:_{n=0}^{\infty\:}9(\frac{x-3}{4})^{n}
integral of (e^{3x}sin(2x))	\int\:(e^{3x}\sin(2x))dx

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