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Popular Calculus Problems

derivative of xln(2)	\frac{d}{dx}(x\ln(2))
(\partial)/(\partial x)(xyz-tan(x+y+z))	\frac{\partial\:}{\partial\:x}(xyz-\tan(x+y+z))
sum from n=1 to infinity of 2/(n^2-1)	\sum\:_{n=1}^{\infty\:}\frac{2}{n^{2}-1}
5y^{''}+40y^'+80y=0	5y^{\prime\:\prime\:}+40y^{\prime\:}+80y=0
limit as x approaches 9 of 5x+3	\lim\:_{x\to\:9}(5x+3)
integral of x	\int\:xdx
y^'+2y=4t	y^{\prime\:}+2y=4t
(\partial)/(\partial y)(4x^{3y})	\frac{\partial\:}{\partial\:y}(4x^{3y})
3y^'+4y=e^{-x}	3y^{\prime\:}+4y=e^{-x}
parity tan(5-sin(2t))	parity\:\tan(5-\sin(2t))
(dy)/(dx)+3x^2y=2xe^{-x^3}	\frac{dy}{dx}+3x^{2}y=2xe^{-x^{3}}
y^'+2x^{-1}y=x^{-1}sin(2x)	y^{\prime\:}+2x^{-1}y=x^{-1}\sin(2x)
integral from-2 to 1 of x(4-x^2)-(x+2)	\int\:_{-2}^{1}x(4-x^{2})-(x+2)dx
integral of 1/(2^x+3)	\int\:\frac{1}{2^{x}+3}dx
sum from n=1 to infinity of 1/(n(n+5))	\sum\:_{n=1}^{\infty\:}\frac{1}{n(n+5)}
sum from n=0 to infinity of (i^n)/(3^n)	\sum\:_{n=0}^{\infty\:}\frac{i^{n}}{3^{n}}
implicit (ex)/y =9x-y	implicit\:\frac{ex}{y}=9x-y
integral of (17)/(x^3-125)	\int\:\frac{17}{x^{3}-125}dx
slope of (-2,-3),(6,2)	slope\:(-2,-3),(6,2)
integral of (sin(x))/(e^x)	\int\:\frac{\sin(x)}{e^{x}}dx
integral of 1/(xsqrt(12x+25))	\int\:\frac{1}{x\sqrt{12x+25}}dx
limit as x approaches 0-of sqrt(-x)	\lim\:_{x\to\:0-}(\sqrt{-x})
derivative of 2-y^2+x^2	\frac{d}{dx}(2-y^{2}+x^{2})
slope ofintercept (1,1),(-4,-3)	slopeintercept\:(1,1),(-4,-3)
y^'=-4xy^3	y^{\prime\:}=-4xy^{3}
integral of (x-3)/(x^3+2x^2)	\int\:\frac{x-3}{x^{3}+2x^{2}}dx
derivative of 5x^2-3x+2	\frac{d}{dx}(5x^{2}-3x+2)
derivative of 2/x-2/(x^3)+1/(x^4)	derivative\:\frac{2}{x}-\frac{2}{x^{3}}+\frac{1}{x^{4}}
integral of \sqrt[4]{x^5}	\int\:\sqrt[4]{x^{5}}dx
integral of (sin(2x))/(sqrt(1-cos(2x)))	\int\:\frac{\sin(2x)}{\sqrt{1-\cos(2x)}}dx
integral of (x^2e^{ax}+1/(ax))	\int\:(x^{2}e^{ax}+\frac{1}{ax})dx
y^{''}-12y^'+35y=0	y^{\prime\:\prime\:}-12y^{\prime\:}+35y=0
integral of cos^4(x)tan^3(x)	\int\:\cos^{4}(x)\tan^{3}(x)dx
area 1/(x^2),x,8x	area\:\frac{1}{x^{2}},x,8x
integral from 0 to 1 of 1/((x-2)^2)	\int\:_{0}^{1}\frac{1}{(x-2)^{2}}dx
limit as x approaches 0 of (e^xcos(x))/4	\lim\:_{x\to\:0}(\frac{e^{x}\cos(x)}{4})
derivative of (e^x/(4+e^x))	\frac{d}{dx}(\frac{e^{x}}{4+e^{x}})
derivative of (x^3-5x^2-36x/(x^2+4x))	\frac{d}{dx}(\frac{x^{3}-5x^{2}-36x}{x^{2}+4x})
inverse oflaplace (25)/(x(x^2+6x+25))	inverselaplace\:\frac{25}{x(x^{2}+6x+25)}
(dx)/(dt)=x-12	\frac{dx}{dt}=x-12
derivative of sin(1/x*x^3)	\frac{d}{dx}(\sin(\frac{1}{x})\cdot\:x^{3})
derivative of cos(sqrt(sin(tan(5x))))	derivative\:\cos(\sqrt{\sin(\tan(5x))})
limit as x approaches-1 of x^3-1	\lim\:_{x\to\:-1}(x^{3}-1)
integral of (cos(pi/(x^{15)}))/(x^{16)}	\int\:\frac{\cos(\frac{π}{x^{15}})}{x^{16}}dx
derivative of 6sqrt(x)e^x	derivative\:6\sqrt{x}e^{x}
integral of 1/((sqrt(4-x^2)))	\int\:\frac{1}{(\sqrt{4-x^{2}})}dx
integral of (x^{3/2})/x	\int\:\frac{x^{\frac{3}{2}}}{x}dx
integral of e^{-st}t	\int\:e^{-st}tdt
tangent of f(x)=2x^3-x^2+9,\at x=2	tangent\:f(x)=2x^{3}-x^{2}+9,\at\:x=2
limit as x approaches infinity of-pi/2	\lim\:_{x\to\:\infty\:}(-\frac{π}{2})
limit as x approaches 0 of (1-1/x)^{x^2}	\lim\:_{x\to\:0}((1-\frac{1}{x})^{x^{2}})
integral of 1/((49+x^2)^2)	\int\:\frac{1}{(49+x^{2})^{2}}dx
(\partial)/(\partial x)((y/x)^{1/z})	\frac{\partial\:}{\partial\:x}((\frac{y}{x})^{\frac{1}{z}})
derivative of {r}(x(x)^2-x^2)	\frac{d}{dx}({r}(x)(x)^{2}-x^{2})
integral from 2 to 4 of (2x+2)	\int\:_{2}^{4}(2x+2)dx
integral of (ln(x))/(sqrt(4+x))	\int\:\frac{\ln(x)}{\sqrt{4+x}}dx
integral of (x+e^{2x})	\int\:(x+e^{2x})dx
integral of 4/(b^4x^2+m^2)	\int\:\frac{4}{b^{4}x^{2}+m^{2}}dx
integral of 4ln(2x+1)	\int\:4\ln(2x+1)dx
derivative of ((cos(x)/(1+sin(x)))^2)	\frac{d}{dx}((\frac{\cos(x)}{1+\sin(x)})^{2})
integral of 3/2 x^3	\int\:\frac{3}{2}x^{3}dx
area 3x^2ln(x),12ln(x)	area\:3x^{2}\ln(x),12\ln(x)
derivative of sin^2(2x^3+2x^2)	\frac{d}{dx}(\sin^{2}(2x^{3}+2x^{2}))
(\partial)/(\partial x)(6y^2-4y^3-3x^2+6xy)	\frac{\partial\:}{\partial\:x}(6y^{2}-4y^{3}-3x^{2}+6xy)
tangent of f(x)= 6/(5x+2),\at x=-1	tangent\:f(x)=\frac{6}{5x+2},\at\:x=-1
derivative of f(x)=arctan(x)	derivative\:f(x)=\arctan(x)
integral of 1/(sin(θ))	\int\:\frac{1}{\sin(θ)}dθ
integral of 1/(3x-3)	\int\:\frac{1}{3x-3}dx
integral from 4 to 6 of x/(x^2+6x+13)	\int\:_{4}^{6}\frac{x}{x^{2}+6x+13}dx
derivative of x^2sqrt(9-x^2)	derivative\:x^{2}\sqrt{9-x^{2}}
limit as x approaches 2 of 2x^3+4e^x	\lim\:_{x\to\:2}(2x^{3}+4e^{x})
area-x^3+x,(-1,1.19148)	area\:-x^{3}+x,(-1,1.19148)
derivative of (9u^2)/((u^2+u)^3)	derivative\:\frac{9u^{2}}{(u^{2}+u)^{3}}
derivative of sqrt(a^2+b^2)	\frac{d}{dx}(\sqrt{a^{2}+b^{2}})
derivative of f(x)=(sin^2(x)+1)^5	derivative\:f(x)=(\sin^{2}(x)+1)^{5}
derivative of (-1-x/(x-1))	\frac{d}{dx}(\frac{-1-x}{x-1})
integral of (x^2+5)^2	\int\:(x^{2}+5)^{2}dx
taylor sqrt(x),25	taylor\:\sqrt{x},25
integral from 1 to e of x*ln(x)	\int\:_{1}^{e}x\cdot\:\ln(x)dx
area 2sin(x),4cos(x)	area\:2\sin(x),4\cos(x)
derivative of sqrt(x)tan(x)	\frac{d}{dx}(\sqrt{x}\tan(x))
integral of 1/(9+4x^2)	\int\:\frac{1}{9+4x^{2}}dx
integral of 2/5-9/x	\int\:\frac{2}{5}-\frac{9}{x}dx
xdy-(y+x^3e^{x^2})dx=0	xdy-(y+x^{3}e^{x^{2}})dx=0
integral of cot(10x)csc^4(10x)	\int\:\cot(10x)\csc^{4}(10x)dx
(d^2)/(dx^2)((x^2+5)^7)	\frac{d^{2}}{dx^{2}}((x^{2}+5)^{7})
(\partial)/(\partial x)(2sqrt(x)+y)	\frac{\partial\:}{\partial\:x}(2\sqrt{x}+y)
(\partial)/(\partial x)(4(y+3)^3(x-4))	\frac{\partial\:}{\partial\:x}(4(y+3)^{3}(x-4))
limit as x approaches-8 of \|x\|	\lim\:_{x\to\:-8}(\left\|x\right\|)
(dy)/(dx)=(sin(5x))	\frac{dy}{dx}=(\sin(5x))
(\partial)/(\partial x)(z/(ysqrt(x)))	\frac{\partial\:}{\partial\:x}(\frac{z}{y\sqrt{x}})
limit as x approaches 0 of x^{tan(x)}	\lim\:_{x\to\:0}(x^{\tan(x)})
derivative of f(z)=sqrt((z-4)/(z+4))	derivative\:f(z)=\sqrt{\frac{z-4}{z+4}}
(\partial)/(\partial x)(xln(z^2+x^7))	\frac{\partial\:}{\partial\:x}(x\ln(z^{2}+x^{7}))
derivative of x^4e^{-x}	\frac{d}{dx}(x^{4}e^{-x})
derivative of (csc(x+cot(x))^{-1})	\frac{d}{dx}((\csc(x)+\cot(x))^{-1})
sum from n=0 to infinity of-n/2	\sum\:_{n=0}^{\infty\:}-\frac{n}{2}
derivative of x^4+6x^2-x	derivative\:x^{4}+6x^{2}-x
4xy^'-20y=x^{-5}	4xy^{\prime\:}-20y=x^{-5}
integral of e^y(e^y+1)^{-2}	\int\:e^{y}(e^{y}+1)^{-2}dy

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