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Popular Calculus Problems

derivative of 2-1/x	\frac{d}{dx}(2-\frac{1}{x})
integral of (1/(ln(x))+ln(ln(x)))	\int\:(\frac{1}{\ln(x)}+\ln(\ln(x)))dx
limit as h approaches 2+of e^{2/h}	\lim\:_{h\to\:2+}(e^{\frac{2}{h}})
derivative of f(x)=log_{7}(xe^x)	derivative\:f(x)=\log_{7}(xe^{x})
integral from 0 to 1 of e^5	\int\:_{0}^{1}e^{5}dx
(\partial)/(\partial y)(zarcsin(y/x))	\frac{\partial\:}{\partial\:y}(z\arcsin(\frac{y}{x}))
integral of (2-t)e^{-st}	\int\:(2-t)e^{-st}dt
limit as x approaches 0 of (ln(1-2x))/x	\lim\:_{x\to\:0}(\frac{\ln(1-2x)}{x})
integral of (2u)/(1-u^2)	\int\:\frac{2u}{1-u^{2}}du
slope ofintercept (-9,5),(-3,3)	slopeintercept\:(-9,5),(-3,3)
derivative of 3^{x-2}	\frac{d}{dx}(3^{x-2})
tangent of f(x)=sqrt(4-x),\at x=0	tangent\:f(x)=\sqrt{4-x},\at\:x=0
(\partial)/(\partial x)(xy-2/x-4/y+8)	\frac{\partial\:}{\partial\:x}(xy-\frac{2}{x}-\frac{4}{y}+8)
(\partial)/(\partial v)(u+v)	\frac{\partial\:}{\partial\:v}(u+v)
derivative of x/(sqrt(x^21))	derivative\:\frac{x}{\sqrt{x^{2}1}}
derivative of-2/((1+x^{3/2)})	\frac{d}{dx}(-\frac{2}{(1+x)^{\frac{3}{2}}})
tangent of f(x)= 7/(x+1),\at x=7	tangent\:f(x)=\frac{7}{x+1},\at\:x=7
integral of cos(x)cos(y)	\int\:\cos(x)\cos(y)dx
integral of 1/(x^{14)}	\int\:\frac{1}{x^{14}}dx
integral of (5x+2)^2	\int\:(5x+2)^{2}dx
integral from 0 to 1 of 2pix(x-x^2)	\int\:_{0}^{1}2πx(x-x^{2})dx
y^{''}+10y=0,y(0)=2,y^'(0)=10	y^{\prime\:\prime\:}+10y=0,y(0)=2,y^{\prime\:}(0)=10
integral of tan^7(x)sec^{17}(x)	\int\:\tan^{7}(x)\sec^{17}(x)dx
derivative of s(t)= 1/(t^2+6t-7)	derivative\:s(t)=\frac{1}{t^{2}+6t-7}
integral of (ln(4x))/x	\int\:\frac{\ln(4x)}{x}dx
(\partial)/(\partial x)(-(2y)/(x^2+y^2+1))	\frac{\partial\:}{\partial\:x}(-\frac{2y}{x^{2}+y^{2}+1})
integral of e^{7x}cos(8x)	\int\:e^{7x}\cos(8x)dx
integral from 0 to 2pi of cos(x)	\int\:_{0}^{2π}\cos(x)dx
(\partial)/(\partial x)((4x-5y)^{3/2})	\frac{\partial\:}{\partial\:x}((4x-5y)^{\frac{3}{2}})
integral of 3e^{-0.2x}	\int\:3e^{-0.2x}dx
derivative of \sqrt[4]{(2x+x^5)^7}	derivative\:\sqrt[4]{(2x+x^{5})^{7}}
y^'=((x+3y))/((y-3x))	y^{\prime\:}=\frac{(x+3y)}{(y-3x)}
derivative of sec(5x)	derivative\:\sec(5x)
derivative of f(x)=sqrt(5x^2+5x+7)	derivative\:f(x)=\sqrt{5x^{2}+5x+7}
(\partial)/(\partial x)(arctan(y/((x-1))))	\frac{\partial\:}{\partial\:x}(\arctan(\frac{y}{(x-1)}))
(\partial)/(\partial x)(sqrt(62-2x^2-2y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{62-2x^{2}-2y^{2}})
derivative of ln(1/(1+x))	\frac{d}{dx}(\ln(\frac{1}{1+x}))
f(x)=arcsec(x)	f(x)=\arcsec(x)
y^'+7xe^y=0	y^{\prime\:}+7xe^{y}=0
integral from-1 to 0 of 7x	\int\:_{-1}^{0}7xdx
integral of (e^{x^2})	\int\:(e^{x^{2}})dx
derivative of y=(2x+1)(x-2)^3	derivative\:y=(2x+1)(x-2)^{3}
(\partial)/(\partial x)((1-e^{-x})(1-e^{-y}))	\frac{\partial\:}{\partial\:x}((1-e^{-x})(1-e^{-y}))
derivative of-csc^2(x)	derivative\:-\csc^{2}(x)
(dy)/(dx)=sqrt(9x+y)-9	\frac{dy}{dx}=\sqrt{9x+y}-9
integral of (4y^2-6y+x+2)/x	\int\:\frac{4y^{2}-6y+x+2}{x}
y^{''}-2y^'=0	y^{\prime\:\prime\:}-2y^{\prime\:}=0
(\partial)/(\partial x)((x+y)ln(x+y))	\frac{\partial\:}{\partial\:x}((x+y)\ln(x+y))
laplacetransform 2+3e^{-3t}	laplacetransform\:2+3e^{-3t}
integral of x^5e^{-x^2}	\int\:x^{5}e^{-x^{2}}dx
tangent of f(x)= 2/3 x^3+4x^2+6x-5	tangent\:f(x)=\frac{2}{3}x^{3}+4x^{2}+6x-5
limit as x approaches 4+of x+1	\lim\:_{x\to\:4+}(x+1)
integral of x^2sqrt(x)	\int\:x^{2}\sqrt{x}dx
integral of e^{3x}*sin(2x)	\int\:e^{3x}\cdot\:\sin(2x)dx
(dy)/(dt)=ky^2	\frac{dy}{dt}=ky^{2}
integral from 0 to 64 of 3/(x^{2/3)}	\int\:_{0}^{64}\frac{3}{x^{\frac{2}{3}}}dx
limit as x approaches-1 of-x+2	\lim\:_{x\to\:-1}(-x+2)
y^{''}-2y^'+5y=2sin(t),y(0)=0,y^'(0)=1	y^{\prime\:\prime\:}-2y^{\prime\:}+5y=2\sin(t),y(0)=0,y^{\prime\:}(0)=1
integral of e^{itx}	\int\:e^{itx}dx
limit as x approaches 2 of (5x)/(x-3)	\lim\:_{x\to\:2}(\frac{5x}{x-3})
(\partial)/(\partial z)(e^{xz})	\frac{\partial\:}{\partial\:z}(e^{xz})
integral of (ln(x))^4	\int\:(\ln(x))^{4}dx
derivative of f(x)=2+x^2	derivative\:f(x)=2+x^{2}
sum from n=0 to infinity of (nx^n)/(n+1)	\sum\:_{n=0}^{\infty\:}\frac{nx^{n}}{n+1}
(\partial)/(\partial y)(ye^{x^2-y})	\frac{\partial\:}{\partial\:y}(ye^{x^{2}-y})
integral of sqrt(x)(sin(x^{3/2}-1))^2	\int\:\sqrt{x}(\sin(x^{\frac{3}{2}}-1))^{2}dx
derivative of (2x^2-7sqrt(x)+6^2)	\frac{d}{dx}((2x^{2}-7\sqrt{x}+6)^{2})
laplacetransform 7	laplacetransform\:7
f(x)=sqrt(6-x)	f(x)=\sqrt{6-x}
integral of \sqrt[3]{tan(7x)}sec^2(7x)	\int\:\sqrt[3]{\tan(7x)}\sec^{2}(7x)dx
(\partial)/(\partial y)(y^2-4x)	\frac{\partial\:}{\partial\:y}(y^{2}-4x)
(dy)/(dt)=y^{1/3}t^{2/5}	\frac{dy}{dt}=y^{\frac{1}{3}}t^{\frac{2}{5}}
y^'=4+e^{y-4x+1},y(0)=-1	y^{\prime\:}=4+e^{y-4x+1},y(0)=-1
derivative of 38(e^{x^2}+2e^{x^2}x^2)	derivative\:38(e^{x^{2}}+2e^{x^{2}}x^{2})
inverse oflaplace (0.5)/((s^2+s+1)*s)	inverselaplace\:\frac{0.5}{(s^{2}+s+1)\cdot\:s}
slope of y= 1/(1-x),x=3	slope\:y=\frac{1}{1-x},x=3
(dy)/(dx)=6y(10-y)	\frac{dy}{dx}=6y(10-y)
(dy)/(dx)= 1/8 sqrt(y)cos^2(sqrt(y))	\frac{dy}{dx}=\frac{1}{8}\sqrt{y}\cos^{2}(\sqrt{y})
integral of (1+sqrt(x)+x)/x	\int\:\frac{1+\sqrt{x}+x}{x}dx
derivative of (x^2)/(sqrt(x+1))	derivative\:\frac{x^{2}}{\sqrt{x+1}}
integral of (e^{yx}+ye^{yx}x+2y-1/(x^2))	\int\:(e^{yx}+ye^{yx}x+2y-\frac{1}{x^{2}})dy
derivative of x(1-x^6)	\frac{d}{dx}(x(1-x)^{6})
integral from 0 to 2 of (x^2-10x)	\int\:_{0}^{2}(x^{2}-10x)dx
integral of ln(2x)(x)	\int\:\ln(2x)(x)dx
area 4x^4-4x^2,6x^2	area\:4x^{4}-4x^{2},6x^{2}
limit as x approaches 0+of 1/x sin(1/x)	\lim\:_{x\to\:0+}(\frac{1}{x}\sin(\frac{1}{x}))
integral of tan^2(x)	\int\:\tan^{2}(x)dx
maclaurin f(x)=(1+x)^{-6/5}	maclaurin\:f(x)=(1+x)^{-\frac{6}{5}}
limit as x approaches 3 of (5*4^x)/(9^x)	\lim\:_{x\to\:3}(\frac{5\cdot\:4^{x}}{9^{x}})
integral of cot(x)csc^3(x)	\int\:\cot(x)\csc^{3}(x)dx
derivative of sqrt(x)ln(6x)	\frac{d}{dx}(\sqrt{x}\ln(6x))
(\partial)/(\partial x)(sin((x*y)/(y-4)))	\frac{\partial\:}{\partial\:x}(\sin(\frac{x\cdot\:y}{y-4}))
integral of 1+x/(x^2+y^2)	\int\:1+\frac{x}{x^{2}+y^{2}}dy
tangent of f(x)=8x^2-x^3,\at x=2	tangent\:f(x)=8x^{2}-x^{3},\at\:x=2
(\partial)/(\partial x)(y/(2x))	\frac{\partial\:}{\partial\:x}(\frac{y}{2x})
(\partial)/(\partial x)(-4xy+x^4+y^4)	\frac{\partial\:}{\partial\:x}(-4xy+x^{4}+y^{4})
y^{''}+4y=0	y^{\prime\:\prime\:}+4y=0
integral of xsin(1-2x)	\int\:x\sin(1-2x)dx
integral of (2-x)/(x^2-2x+1)	\int\:\frac{2-x}{x^{2}-2x+1}dx
area x^3,x	area\:x^{3},x

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