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Popular Calculus Problems

integral of 1/((3x)^2)	\int\:\frac{1}{(3x)^{2}}dx
integral from 0 to 6 of pi(3)^2	\int\:_{0}^{6}π(3)^{2}dx
integral of-1/n cos(nx)	\int\:-\frac{1}{n}\cos(nx)dx
(\partial)/(\partial y)(xy-5y+x^2+y^2-10x)	\frac{\partial\:}{\partial\:y}(xy-5y+x^{2}+y^{2}-10x)
integral of sqrt(1-3x)	\int\:\sqrt{1-3x}dx
integral from 0 to 1 of e^{-x^2}	\int\:_{0}^{1}e^{-x^{2}}dx
limit as x approaches+0 of 1/x	\lim\:_{x\to\:+0}(\frac{1}{x})
y^'-7/x y=(y^5)/(x^5)	y^{\prime\:}-\frac{7}{x}y=\frac{y^{5}}{x^{5}}
laplacetransform e^{5(t-2)}	laplacetransform\:e^{5(t-2)}
derivative of 1/3 pir^2h	derivative\:\frac{1}{3}πr^{2}h
integral from 0 to sqrt(3 of)sqrt(x^2+9)	\int\:_{0}^{\sqrt{3}}\sqrt{x^{2}+9}dx
derivative of 1/(4x^2)	\frac{d}{dx}(\frac{1}{4x^{2}})
derivative of (x^2-3/(x^2+1))	\frac{d}{dx}(\frac{x^{2}-3}{x^{2}+1})
integral from 1 to 5 of t^3ln(4t)	\int\:_{1}^{5}t^{3}\ln(4t)dt
integral of (x-1)/(x^2-2x+3)	\int\:\frac{x-1}{x^{2}-2x+3}dx
derivative of 3x^{-1/2}	derivative\:3x^{-\frac{1}{2}}
derivative of (7arcsin(4x)^x)	\frac{d}{dx}((7\arcsin(4x))^{x})
(\partial)/(\partial x)((zx-y)/(sqrt(x)))	\frac{\partial\:}{\partial\:x}(\frac{zx-y}{\sqrt{x}})
derivative of 3^x-1	\frac{d}{dx}(3^{x}-1)
integral from 0 to 2 of r^3	\int\:_{0}^{2}r^{3}dr
integral from 0 to infinity of sin(7x)	\int\:_{0}^{\infty\:}\sin(7x)dx
integral of-3/2 x^2+3x^4-2	\int\:-\frac{3}{2}x^{2}+3x^{4}-2dx
derivative of 1/2 sec(x-1/3 csc(x))	\frac{d}{dx}(\frac{1}{2}\sec(x)-\frac{1}{3}\csc(x))
derivative of 14x	\frac{d}{dx}(14x)
limit as x approaches 3 of 2x^3-4x^2+x-7	\lim\:_{x\to\:3}(2x^{3}-4x^{2}+x-7)
(\partial)/(\partial x)(tan(3x^2+2x))	\frac{\partial\:}{\partial\:x}(\tan(3x^{2}+2x))
integral of \sqrt[4]{3x-8}	\int\:\sqrt[4]{3x-8}dx
area y=e^x,y=10e^{-x}+3,x=0	area\:y=e^{x},y=10e^{-x}+3,x=0
limit as x approaches 1 of x^4	\lim\:_{x\to\:1}(x^{4})
tangent of f(x)=x^2-7,(5,18)	tangent\:f(x)=x^{2}-7,(5,18)
integral of 3/(x(x^4+8))	\int\:\frac{3}{x(x^{4}+8)}dx
y^'+9(tan(9x))y=-cos(9x)	y^{\prime\:}+9(\tan(9x))y=-\cos(9x)
(\partial)/(\partial y)(ln(x^2+xy))	\frac{\partial\:}{\partial\:y}(\ln(x^{2}+xy))
derivative of (\sqrt[3]{t})/(t-3)	derivative\:\frac{\sqrt[3]{t}}{t-3}
derivative of (f(x(6x))^2-4)	\frac{d}{dx}((f(x)(6x))^{2}-4)
(\partial)/(\partial x)(x^3-5x^2y+7xy^3)	\frac{\partial\:}{\partial\:x}(x^{3}-5x^{2}y+7xy^{3})
integral of 1/(2-e^{-x)}	\int\:\frac{1}{2-e^{-x}}dx
(\partial)/(\partial y)(x^2-xyz)	\frac{\partial\:}{\partial\:y}(x^{2}-xyz)
integral of e^{3x}-1/((x+4)^2)	\int\:e^{3x}-\frac{1}{(x+4)^{2}}dx
integral of 1/(x(ln(x^6))^8)	\int\:\frac{1}{x(\ln(x^{6}))^{8}}dx
integral of (2x^1)/((x^5)^3)	\int\:\frac{2x^{1}}{(x^{5})^{3}}dx
integral of 1/x+1/(2-x)	\int\:\frac{1}{x}+\frac{1}{2-x}dx
area x^2+1,-2,-2,2	area\:x^{2}+1,-2,-2,2
limit as x approaches 4 of (6x-7)^2	\lim\:_{x\to\:4}((6x-7)^{2})
integral of x^{17}	\int\:x^{17}dx
integral of 1/(sqrt(1+x+y))	\int\:\frac{1}{\sqrt{1+x+y}}dx
integral of 8xe^{3x}	\int\:8xe^{3x}dx
(7x+8)+(7y-7)y^'=0	(7x+8)+(7y-7)y^{\prime\:}=0
integral of 1/(tan^2(x))	\int\:\frac{1}{\tan^{2}(x)}dx
derivative of x^{11}arccos(x)	derivative\:x^{11}\arccos(x)
tangent of g(x)=e^{x^5},(-1, 1/e)	tangent\:g(x)=e^{x^{5}},(-1,\frac{1}{e})
(\partial)/(\partial x)(2ln(x))	\frac{\partial\:}{\partial\:x}(2\ln(x))
limit as b approaches infinity of bc	\lim\:_{b\to\:\infty\:}(bc)
integral of 1/(sqrt(5+3x^2))	\int\:\frac{1}{\sqrt{5+3x^{2}}}dx
(dy)/(dx)= 1/2 x+1	\frac{dy}{dx}=\frac{1}{2}x+1
area f(x)= 1/x ,g(x)= 1/3 ,[2,5]	area\:f(x)=\frac{1}{x},g(x)=\frac{1}{3},[2,5]
derivative of (7u^2)/((u^2+u)^3)	derivative\:\frac{7u^{2}}{(u^{2}+u)^{3}}
integral of (3x^2)/(sqrt(1-x^6))	\int\:\frac{3x^{2}}{\sqrt{1-x^{6}}}dx
area x,x^2-2	area\:x,x^{2}-2
limit as x approaches 0 of 3cos(x)	\lim\:_{x\to\:0}(3\cos(x))
area (x^2)/2-4x+6, x/2-1,[0,5]	area\:\frac{x^{2}}{2}-4x+6,\frac{x}{2}-1,[0,5]
derivative of s(t)=t^3-5t+8	derivative\:s(t)=t^{3}-5t+8
tangent of y=sqrt(x),(1,1)	tangent\:y=\sqrt{x},(1,1)
derivative of (sqrt(x))/(x+3)	derivative\:\frac{\sqrt{x}}{x+3}
sum from n=1 to infinity of (3/5)^n	\sum\:_{n=1}^{\infty\:}(\frac{3}{5})^{n}
d/(dt)(2sin(t)-sin(2t))	\frac{d}{dt}(2\sin(t)-\sin(2t))
integral of (6x-1)	\int\:(6x-1)dx
area 5x,9x^2	area\:5x,9x^{2}
x^2y^{''}-6y=x^4	x^{2}y^{\prime\:\prime\:}-6y=x^{4}
(\partial)/(\partial y)(x-2y+2z)	\frac{\partial\:}{\partial\:y}(x-2y+2z)
d/(dt)((t-sqrt(t))/(t^{1/9)})	\frac{d}{dt}(\frac{t-\sqrt{t}}{t^{\frac{1}{9}}})
(\partial)/(\partial y)(2cos(y))	\frac{\partial\:}{\partial\:y}(2\cos(y))
integral of sqrt(2)e^θ	\int\:\sqrt{2}e^{θ}dθ
derivative of (1/(x^2)-3/(x^4))(x+5x^3)	derivative\:(\frac{1}{x^{2}}-\frac{3}{x^{4}})(x+5x^{3})
tangent of f(x)= 2/(x-4)	tangent\:f(x)=\frac{2}{x-4}
integral of (4x^5-2x+3)/(x^3)	\int\:\frac{4x^{5}-2x+3}{x^{3}}dx
inverse oflaplace e^{-2s}(1/(s-9))	inverselaplace\:e^{-2s}(\frac{1}{s-9})
derivative of y=(2x+1)^{2/3}(3x-4)^{1/2}	derivative\:y=(2x+1)^{\frac{2}{3}}(3x-4)^{\frac{1}{2}}
d/(dt)(e^t*cos(t))	\frac{d}{dt}(e^{t}\cdot\:\cos(t))
slope of (1/2 ,2),(6,2)	slope\:(\frac{1}{2},2),(6,2)
integral from-3 to 0 of 1/(9+2x)	\int\:_{-3}^{0}\frac{1}{9+2x}dx
integral of xe^x-x	\int\:xe^{x}-xdx
integral of arcsin(x+2)	\int\:\arcsin(x+2)dx
inverse oflaplace 1/(s^3-2s^2+3s)	inverselaplace\:\frac{1}{s^{3}-2s^{2}+3s}
parity y=arcsinh(tan(x))	parity\:y=\arcsinh(\tan(x))
tangent of f(x)=xcos(x),\at x=(3pi)/2	tangent\:f(x)=x\cos(x),\at\:x=\frac{3π}{2}
derivative of (13/x)	\frac{d}{dx}(\frac{13}{x})
inverse oflaplace 1/((s^2-1)^2)	inverselaplace\:\frac{1}{(s^{2}-1)^{2}}
integral from 1 to 3 of (2t^2+1)/t	\int\:_{1}^{3}\frac{2t^{2}+1}{t}dt
integral of (3sin(x))/(cos^3(x))	\int\:\frac{3\sin(x)}{\cos^{3}(x)}dx
integral of (2x+3)/(x+7)	\int\:\frac{2x+3}{x+7}dx
integral of (x+8)^2	\int\:(x+8)^{2}dx
integral from-2 to 3 of (10)/(x^4)	\int\:_{-2}^{3}\frac{10}{x^{4}}dx
integral of e^{x^2-5x}	\int\:e^{x^{2}-5x}dx
limit as x approaches 0-of 1/(e^x)	\lim\:_{x\to\:0-}(\frac{1}{e^{x}})
integral of 1/(-x+1)	\int\:\frac{1}{-x+1}dx
derivative of (x^2+4/(2x))	\frac{d}{dx}(\frac{x^{2}+4}{2x})
tangent of y=4-2x^2	tangent\:y=4-2x^{2}
derivative of sqrt(u+1)	derivative\:\sqrt{u+1}
(\partial)/(\partial x)(x^3+y^5+x^7-y^2)	\frac{\partial\:}{\partial\:x}(x^{3}+y^{5}+x^{7}-y^{2})

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