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Popular Calculus Problems

derivative of (x-1)^2	derivative\:(x-1)^{2}
derivative of sec^2(xdx)	\frac{d}{dx}(\sec^{2}(x)dx)
(6-10y+e^{-5x})dx-2dy=0	(6-10y+e^{-5x})dx-2dy=0
inverse oflaplace (2-s)/(s^2+6s+34)	inverselaplace\:\frac{2-s}{s^{2}+6s+34}
longdivision (1-x)/(1+x)	longdivision\:\frac{1-x}{1+x}
derivative of (cos^2(x)x)	\frac{d}{dx}((\cos^{2}(x))x)
(\partial)/(\partial x)(sqrt(x)sqrt(y))	\frac{\partial\:}{\partial\:x}(\sqrt{x}\sqrt{y})
derivative of (10)/((x^2-7)^4)	derivative\:\frac{10}{(x^{2}-7)^{4}}
tangent of y=sec(x),(pi/3 ,2)	tangent\:y=\sec(x),(\frac{π}{3},2)
inverse oflaplace 7/(6s(s+2/9))	inverselaplace\:\frac{7}{6s(s+\frac{2}{9})}
integral of ln(x+9)	\int\:\ln(x+9)dx
integral of e^2	\int\:e^{2}dx
derivative of (9sqrt(x)+8x^2)	\frac{d}{dx}((9\sqrt{x}+8)x^{2})
y^'=(1-2x)y^2,y(0)=-1/6	y^{\prime\:}=(1-2x)y^{2},y(0)=-\frac{1}{6}
derivative of x^3y^5-2x^2y+x	\frac{d}{dx}(x^{3}y^{5}-2x^{2}y+x)
integral of (x-2)(x+2)	\int\:(x-2)(x+2)dx
tangent of f(x)=4tan(x),\at x= pi/6	tangent\:f(x)=4\tan(x),\at\:x=\frac{π}{6}
derivative of ln(x^3+2x)	\frac{d}{dx}(\ln(x^{3})+2x)
derivative of cos(xsin^2(x))	\frac{d}{dx}(\cos(x)\sin^{2}(x))
y^'=-4xy	y^{\prime\:}=-4xy
(\partial)/(\partial x)((xy)/(x+7))	\frac{\partial\:}{\partial\:x}(\frac{xy}{x+7})
integral of arcsec(x)	\int\:\arcsec(x)dx
maclaurin 3^x	maclaurin\:3^{x}
tangent of f(x)=sin(sin(x)),\at x=2pi,0	tangent\:f(x)=\sin(\sin(x)),\at\:x=2π,0
derivative of f(x)=arccos(x)	derivative\:f(x)=\arccos(x)
derivative of 3sin(x+2cos(x))	\frac{d}{dx}(3\sin(x)+2\cos(x))
integral of 6x^6	\int\:6x^{6}dx
derivative of (e^x/(4-x))	\frac{d}{dx}(\frac{e^{x}}{4-x})
y^{''}-2y^'+y=te^t	y^{\prime\:\prime\:}-2y^{\prime\:}+y=te^{t}
integral of p(p+5)^5	\int\:p(p+5)^{5}dp
limit as x approaches infinity of 1/2 x	\lim\:_{x\to\:\infty\:}(\frac{1}{2}x)
tangent of 1/3 x^3-3x^2+10x+6,\at x=2	tangent\:\frac{1}{3}x^{3}-3x^{2}+10x+6,\at\:x=2
(xdy)/(dx)=y	\frac{xdy}{dx}=y
integral of x/(\sqrt[3]{x-8)}	\int\:\frac{x}{\sqrt[3]{x-8}}dx
derivative of y=xsin(6/x)	derivative\:y=x\sin(\frac{6}{x})
integral of-x^2+1	\int\:-x^{2}+1dx
derivative of e^{0.1x^2}	\frac{d}{dx}(e^{0.1x^{2}})
area y=e^x,y=e^{7x},x=0,x=ln(2)	area\:y=e^{x},y=e^{7x},x=0,x=\ln(2)
derivative of y=5x^7ln(x)	derivative\:y=5x^{7}\ln(x)
derivative of e^x-x^2+3x-2	\frac{d}{dx}(e^{x}-x^{2}+3x-2)
integral from-2 to 3 of (17)/(x^4)	\int\:_{-2}^{3}\frac{17}{x^{4}}dx
y^{''}=2y^'+8y	y^{\prime\:\prime\:}=2y^{\prime\:}+8y
integral of 4/3 e^{4x}	\int\:\frac{4}{3}e^{4x}dx
derivative of (x^2+3^3)	\frac{d}{dx}((x^{2}+3)^{3})
(\partial)/(\partial y)(3/2 (x+1)^2(y^2-9))	\frac{\partial\:}{\partial\:y}(\frac{3}{2}(x+1)^{2}(y^{2}-9))
integral of x/((25+x^2)^{3/2)}	\int\:\frac{x}{(25+x^{2})^{\frac{3}{2}}}dx
derivative of g(x)=sqrt(6-7x)	derivative\:g(x)=\sqrt{6-7x}
tangent of f(x)=x-2x^2,\at x=1	tangent\:f(x)=x-2x^{2},\at\:x=1
integral of 1/(sqrt(x^2+6x+10))	\int\:\frac{1}{\sqrt{x^{2}+6x+10}}dx
integral of 33sec^4(x)	\int\:33\sec^{4}(x)dx
y^'=t^2y	y^{\prime\:}=t^{2}y
y^'=y+2	y^{\prime\:}=y+2
integral of (((ln(x))^5))/x	\int\:\frac{((\ln(x))^{5})}{x}dx
xln(x)y^'+y=2ln(x)	x\ln(x)y^{\prime\:}+y=2\ln(x)
integral from 1/2 to 5 of 8xln(2x)	\int\:_{\frac{1}{2}}^{5}8x\ln(2x)dx
(\partial)/(\partial x)((-6x+1y)/(-8x-1y))	\frac{\partial\:}{\partial\:x}(\frac{-6x+1y}{-8x-1y})
integral from 0 to 1 of 2/(3x^2+4x+1)	\int\:_{0}^{1}\frac{2}{3x^{2}+4x+1}dx
limit as x approaches 0 of (6^x-4^x)/x	\lim\:_{x\to\:0}(\frac{6^{x}-4^{x}}{x})
integral of-x^2(sqrt(3))/3	\int\:-x^{2}\frac{\sqrt{3}}{3}dx
derivative of xtan(y)	\frac{d}{dx}(x\tan(y))
integral from 0 to 2 of 1/(x^2+4)	\int\:_{0}^{2}\frac{1}{x^{2}+4}dx
derivative of e^{i2x}	\frac{d}{dx}(e^{i2x})
derivative of f(-5)=sqrt(x)+6	derivative\:f(-5)=\sqrt{x}+6
integral of 1/(s+1)	\int\:\frac{1}{s+1}ds
(\partial)/(\partial x)(x^{-1}+ln(z^2))	\frac{\partial\:}{\partial\:x}(x^{-1}+\ln(z^{2}))
simplify (x^2)/6-x	simplify\:\frac{x^{2}}{6}-x
sum from n=1 to infinity of 5(2/3)^{n-1}	\sum\:_{n=1}^{\infty\:}5(\frac{2}{3})^{n-1}
inverse oflaplace (e^{-3s})/(s-2)	inverselaplace\:\frac{e^{-3s}}{s-2}
(\partial)/(\partial y)(x^{1/2}+y^{1/2})	\frac{\partial\:}{\partial\:y}(x^{\frac{1}{2}}+y^{\frac{1}{2}})
derivative of (1+3x^2(x-x^2))	\frac{d}{dx}((1+3x^{2})(x-x^{2}))
(u-2)/(u^2-2u+1)du=-1/x dx	\frac{u-2}{u^{2}-2u+1}du=-\frac{1}{x}dx
tangent of f(x)=(9x-1)^{-1/3},\at x=1	tangent\:f(x)=(9x-1)^{-\frac{1}{3}},\at\:x=1
solvefor t,(dy)/(dt)=y^3-y^2-12y	solvefor\:t,\frac{dy}{dt}=y^{3}-y^{2}-12y
derivative of f(x)=(4e^x+5e^{-x})/6	derivative\:f(x)=\frac{4e^{x}+5e^{-x}}{6}
(\partial)/(\partial x)(1/(x^2+4))	\frac{\partial\:}{\partial\:x}(\frac{1}{x^{2}+4})
(dy)/(dx)=(x^3)/(y+1)	\frac{dy}{dx}=\frac{x^{3}}{y+1}
xy^'-y=sqrt(x^2+y^2)	xy^{\prime\:}-y=\sqrt{x^{2}+y^{2}}
limit as x approaches 2 of 5x^3-3x^2+x-6	\lim\:_{x\to\:2}(5x^{3}-3x^{2}+x-6)
area e^x,xe^x,x=0	area\:e^{x},xe^{x},x=0
derivative of 3e^{-3/x}	\frac{d}{dx}(3e^{-\frac{3}{x}})
y^{''}+2y^'+y=e^{-t}	y^{\prime\:\prime\:}+2y^{\prime\:}+y=e^{-t}
derivative of arctan(x^2+y^2+ln(xy)-1)	\frac{d}{dx}(\arctan(x^{2}+y^{2})+\ln(xy)-1)
derivative of 8cos(2x)	derivative\:8\cos(2x)
y^{''}+y^'+ky=0	y^{\prime\:\prime\:}+y^{\prime\:}+ky=0
(dL)/(dx)	\frac{dL}{dx}
derivative of ln(x(x^2+3^3))	\frac{d}{dx}(\ln(x(x^{2}+3)^{3}))
integral of 10sec^2(x)	\int\:10\sec^{2}(x)dx
derivative of (-9x^2+4^2)	\frac{d}{dx}((-9x^{2}+4)^{2})
area y=2x-x^2,y=0	area\:y=2x-x^{2},y=0
derivative of sqrt(y+x)	\frac{d}{dx}(\sqrt{y+x})
derivative of cos(pix)(pi)	derivative\:\cos(πx)(π)
derivative of (x^2-1(x-1))	\frac{d}{dx}((x^{2}-1)(x-1))
limit as x approaches 1 of 2x^5-7x^4+7	\lim\:_{x\to\:1}(2x^{5}-7x^{4}+7)
derivative of-(8(1-12x^2)/((4x^2+1)^3))	\frac{d}{dx}(-\frac{8(1-12x^{2})}{(4x^{2}+1)^{3}})
derivative of f(x)=4pir^2	derivative\:f(x)=4πr^{2}
(\partial)/(\partial z)((-z)/(y^2+z^2))	\frac{\partial\:}{\partial\:z}(\frac{-z}{y^{2}+z^{2}})
integral from 0 to 1 of x^4e^{2x}	\int\:_{0}^{1}x^{4}e^{2x}dx
integral of 1/((x^2+6)^{3/2)}	\int\:\frac{1}{(x^{2}+6)^{\frac{3}{2}}}dx
sum from n=0 to infinity of 2x^n	\sum\:_{n=0}^{\infty\:}2x^{n}
derivative of x/(x^2+36)	derivative\:\frac{x}{x^{2}+36}

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