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Popular Calculus Problems

integral of pi^4x^2	\int\:π^{4}x^{2}dx
derivative of (3x^4/(e^x))	\frac{d}{dx}(\frac{3x^{4}}{e^{x}})
3y^2=2y(x^4-x)(dy)/(dx)-3	3y^{2}=2y(x^{4}-x)\frac{dy}{dx}-3
integral from 2 to 3 of (30)/(sqrt(3-x))	\int\:_{2}^{3}\frac{30}{\sqrt{3-x}}dx
integral of e^{-t}*t	\int\:e^{-t}\cdot\:tdt
y^{''}+7y^'+12y=e^{2t}*sin(3t)	y^{\prime\:\prime\:}+7y^{\prime\:}+12y=e^{2t}\cdot\:\sin(3t)
limit as x approaches-5 of ln(x+5)	\lim\:_{x\to\:-5}(\ln(x+5))
integral of \sqrt[5]{tan(3x)}sec^2(3x)	\int\:\sqrt[5]{\tan(3x)}\sec^{2}(3x)dx
derivative of (3x+7^5)	\frac{d}{dx}((3x+7)^{5})
sum from n=1 to infinity of 1/10	\sum\:_{n=1}^{\infty\:}\frac{1}{10}
integral of (x^5)/2	\int\:\frac{x^{5}}{2}dx
integral of (x*e^x)/((1+x)^2)	\int\:\frac{x\cdot\:e^{x}}{(1+x)^{2}}dx
derivative of (8x)^{4x}	derivative\:(8x)^{4x}
(\partial)/(\partial x)(2xsin(2y))	\frac{\partial\:}{\partial\:x}(2x\sin(2y))
derivative of Axcos(x+Bcos(x))	\frac{d}{dx}(Ax\cos(x)+B\cos(x))
limit as x approaches 1 of 1/(x-1)	\lim\:_{x\to\:1}(\frac{1}{x-1})
inverse oflaplace 1/(2s+1)	inverselaplace\:\frac{1}{2s+1}
integral of (-x)/(sqrt(x+1))	\int\:\frac{-x}{\sqrt{x+1}}dx
integral of (sin(x)-2cos(x))	\int\:(\sin(x)-2\cos(x))dx
inverse oflaplace (2s)/(s^2+4)	inverselaplace\:\frac{2s}{s^{2}+4}
derivative of y=ln(8-3x)	derivative\:y=\ln(8-3x)
integral of e^{-u}u	\int\:e^{-u}udu
derivative of xsin(8/x)	derivative\:x\sin(\frac{8}{x})
derivative of (1-x/((1+x)^3))	\frac{d}{dx}(\frac{1-x}{(1+x)^{3}})
integral of (2x+5)/((x-4)(x+1))	\int\:\frac{2x+5}{(x-4)(x+1)}dx
derivative of y=3x^3	derivative\:y=3x^{3}
y^{''}+3y^'+2y=sin(t)	y^{\prime\:\prime\:}+3y^{\prime\:}+2y=\sin(t)
integral of (3-2x)sin(5x)	\int\:(3-2x)\sin(5x)dx
integral of cot(9x)	\int\:\cot(9x)dx
derivative of y=x^5*e^x	derivative\:y=x^{5}\cdot\:e^{x}
derivative of 2(3^{-x}^2+log_{2}(x^4-1))	\frac{d}{dx}(2(3^{-x})^{2}+\log_{2}(x^{4}-1))
laplacetransform e^{1-2t}+cos^2(t)	laplacetransform\:e^{1-2t}+\cos^{2}(t)
derivative of f(x)=(18x+8x^2)/((9+8x)^2)	derivative\:f(x)=\frac{18x+8x^{2}}{(9+8x)^{2}}
integral of x^3sqrt(x^2-25)	\int\:x^{3}\sqrt{x^{2}-25}dx
derivative of f(x)=e^{x+1}-3e^x+2e^{x^3}	derivative\:f(x)=e^{x+1}-3e^{x}+2e^{x^{3}}
integral from 2 to infinity of 2x^{-2}	\int\:_{2}^{\infty\:}2x^{-2}dx
integral of 1/(3+2y)	\int\:\frac{1}{3+2y}dy
integral of (1/y)	\int\:(\frac{1}{y})dy
integral from 0 to 9 of piy^3	\int\:_{0}^{9}πy^{3}dy
area x^3-10x,6x,[-4,4]	area\:x^{3}-10x,6x,[-4,4]
integral of cos^3(2x)sin(2x)	\int\:\cos^{3}(2x)\sin(2x)dx
integral of (2x^2-9x-9)/(x^3-9x)	\int\:\frac{2x^{2}-9x-9}{x^{3}-9x}dx
integral of (Inx)^2	\int\:(Inx)^{2}dx
integral of cos(x)+(x^2+1)^7*2x	\int\:\cos(x)+(x^{2}+1)^{7}\cdot\:2xdx
implicit (dy)/(dx),ln(xy^3)=xy	implicit\:\frac{dy}{dx},\ln(xy^{3})=xy
integral of (tan^3(ln(x)))/(2x)	\int\:\frac{\tan^{3}(\ln(x))}{2x}dx
derivative of f(x)=cos^5(x)	derivative\:f(x)=\cos^{5}(x)
derivative of arcsec(1/(4t^5))	derivative\:\arcsec(\frac{1}{4t^{5}})
sum from n=0 to infinity of (z^n)/(n^2)	\sum\:_{n=0}^{\infty\:}\frac{z^{n}}{n^{2}}
integral of 2x^{13}e^{-x^7}	\int\:2x^{13}e^{-x^{7}}dx
integral of x^3sqrt(64+x^2)	\int\:x^{3}\sqrt{64+x^{2}}dx
(d^6)/(dx^6)(sin(x^2))	\frac{d^{6}}{dx^{6}}(\sin(x^{2}))
limit as x approaches 0 of x/(sin(7x))	\lim\:_{x\to\:0}(\frac{x}{\sin(7x)})
tangent of y=2x^2-x+1,(1,2)	tangent\:y=2x^{2}-x+1,(1,2)
limit as x approaches 1 of (x^2+x)^2	\lim\:_{x\to\:1}((x^{2}+x)^{2})
derivative of f(t)=te^{5-2t}	derivative\:f(t)=te^{5-2t}
d/(da)(sin(a)cos(a))	\frac{d}{da}(\sin(a)\cos(a))
(x^2+2xy)dx+xdy=0	(x^{2}+2xy)dx+xdy=0
(\partial)/(\partial x)(x^4+2xy^9)	\frac{\partial\:}{\partial\:x}(x^{4}+2xy^{9})
derivative of (xy^2)	\frac{d}{dx}((xy)^{2})
derivative of (-xsin(x)-cos(x))/(4x^2)	derivative\:\frac{-x\sin(x)-\cos(x)}{4x^{2}}
integral of x^2-6x+5	\int\:x^{2}-6x+5dx
(\partial)/(\partial x)(sqrt(2x^2+5y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{2x^{2}+5y^{2}})
tangent of y=2x^3-2x(-1)	tangent\:y=2x^{3}-2x(-1)
derivative of 2cos(-2x)	\frac{d}{dx}(2\cos(-2x))
integral of (34x^2)/((2x+1)(x^2+4))	\int\:\frac{34x^{2}}{(2x+1)(x^{2}+4)}dx
y^'=-3xy^3	y^{\prime\:}=-3xy^{3}
integral of (6xy)	\int\:(6xy)dx
taylor e^{3x},2	taylor\:e^{3x},2
derivative of x^{{p}(x})	\frac{d}{dx}(x^{{p}(x)})
derivative of sqrt(w)	derivative\:\sqrt{w}
integral of x^3x	\int\:x^{3}xdx
limit as x approaches 3+of sqrt(4-x^2)	\lim\:_{x\to\:3+}(\sqrt{4-x^{2}})
derivative of a*x+ln(x)	\frac{d}{dx}(a\cdot\:x+\ln(x))
x*(dy)/(dx)=6y	x\cdot\:\frac{dy}{dx}=6y
integral from 0 to 11/12 of 22x	\int\:_{0}^{\frac{11}{12}}22xdx
(dy)/(dx)=sin(11x)	\frac{dy}{dx}=\sin(11x)
derivative of sqrt(2-9x)	\frac{d}{dx}(\sqrt{2-9x})
y^{''}-2y=9xe^{-x}-6x^2+4e^{2x}	y^{\prime\:\prime\:}-2y=9xe^{-x}-6x^{2}+4e^{2x}
integral from 10 to infinity of x^{-2/3}	\int\:_{10}^{\infty\:}x^{-\frac{2}{3}}dx
derivative of (40/(x^5))	\frac{d}{dx}(\frac{40}{x^{5}})
(\partial)/(\partial x)(-ye^x)	\frac{\partial\:}{\partial\:x}(-ye^{x})
d/(dz)(ln(sqrt((d^2-z^2)/(d^2+z^2))))	\frac{d}{dz}(\ln(\sqrt{\frac{d^{2}-z^{2}}{d^{2}+z^{2}}}))
derivative of x/(sqrt(9-x^2))	derivative\:\frac{x}{\sqrt{9-x^{2}}}
limit as x approaches-3 of-1.2x-4.6	\lim\:_{x\to\:-3}(-1.2x-4.6)
derivative of (x^2/(1+6x))	\frac{d}{dx}(\frac{x^{2}}{1+6x})
derivative of (3x^2/(1+2x))	\frac{d}{dx}(\frac{3x^{2}}{1+2x})
derivative of-4tan(x-csc(x))	\frac{d}{dx}(-4\tan(x)-\csc(x))
integral from 0 to 1 of 3(1+sqrt(x))^6	\int\:_{0}^{1}3(1+\sqrt{x})^{6}dx
integral of rsqrt(4-r^2)-r^2	\int\:r\sqrt{4-r^{2}}-r^{2}dr
inverse oflaplace 1/((s))	inverselaplace\:\frac{1}{(s)}
derivative of sin(sin(x))	derivative\:\sin(\sin(x))
derivative of (x-1^2(x-2))	\frac{d}{dx}((x-1)^{2}(x-2))
derivative of f(x)=sin(x^3)	derivative\:f(x)=\sin(x^{3})
(\partial)/(\partial x)(Q(x)0.5^{x/(35)})	\frac{\partial\:}{\partial\:x}(Q(x)0.5^{\frac{x}{35}})
sum from n=0 to infinity of n/(n^2+1)	\sum\:_{n=0}^{\infty\:}\frac{n}{n^{2}+1}
derivative of f(x)=(3x^2+4x+1)^{10}	derivative\:f(x)=(3x^{2}+4x+1)^{10}
derivative of f(x)=6x^2+3x-4	derivative\:f(x)=6x^{2}+3x-4
integral of x(sin(x^2))	\int\:x(\sin(x^{2}))dx
area (x^2)/8 ,2x^2,y=2,y=0	area\:\frac{x^{2}}{8},2x^{2},y=2,y=0

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