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Popular Calculus Problems

derivative of f(x)=x^3-3x^2+4x-7	derivative\:f(x)=x^{3}-3x^{2}+4x-7
d/(dv)(u/(u+v))	\frac{d}{dv}(\frac{u}{u+v})
tangent of-x^3-5x^2+2,\at x=-1	tangent\:-x^{3}-5x^{2}+2,\at\:x=-1
integral of cos(x)+2	\int\:\cos(x)+2dx
derivative of 6arcsin(x^2)	\frac{d}{dx}(6\arcsin(x^{2}))
derivative of f(x)=x-1/(x^2)	derivative\:f(x)=x-\frac{1}{x^{2}}
integral of 9+9tan^2(x)	\int\:9+9\tan^{2}(x)dx
derivative of x(7x+9^{1/3})	\frac{d}{dx}(x(7x+9)^{\frac{1}{3}})
integral of (3x^2)/4	\int\:\frac{3x^{2}}{4}dx
(\partial)/(\partial x)(e^{(x-1)^2})	\frac{\partial\:}{\partial\:x}(e^{(x-1)^{2}})
taylor x^4+x-2	taylor\:x^{4}+x-2
25y^{''}+2y=0	25y^{\prime\:\prime\:}+2y=0
tangent of f(x)=-x^3,(2,-8)	tangent\:f(x)=-x^{3},(2,-8)
limit as x approaches 0 of tan(x)	\lim\:_{x\to\:0}(\tan(x))
integral from-infinity to-1 of e^{-30t}	\int\:_{-\infty\:}^{-1}e^{-30t}dt
derivative of x/(y^2+1)	\frac{d}{dx}(\frac{x}{y^{2}+1})
derivative of log_{e}(2)	\frac{d}{dx}(\log_{e}(2))
(d^2}{dx^2}(xe^{-\frac{x^2)/2})	\frac{d^{2}}{dx^{2}}(xe^{-\frac{x^{2}}{2}})
integral of xsqrt(x-8)	\int\:x\sqrt{x-8}dx
tangent of 3x^2+xy+3y^2=7,(1,1)	tangent\:3x^{2}+xy+3y^{2}=7,(1,1)
tangent of (sin(t))/(2+2cos(t))	tangent\:\frac{\sin(t)}{2+2\cos(t)}
inverse oflaplace 1/((s+1)^2+4)	inverselaplace\:\frac{1}{(s+1)^{2}+4}
integral of x/(sqrt(x+3))	\int\:\frac{x}{\sqrt{x+3}}dx
derivative of (dy/(dx))-y=0	\frac{d}{dx}(\frac{dy}{dx})-y=0
integral from 0 to N of e^{-st}e^{2t}	\int\:_{0}^{N}e^{-st}e^{2t}dt
integral of e^{4x}sin(7x)	\int\:e^{4x}\sin(7x)dx
integral of x^2cos(x/9)	\int\:x^{2}\cos(\frac{x}{9})dx
integral of (u^2)/(sqrt(u^2+25))	\int\:\frac{u^{2}}{\sqrt{u^{2}+25}}du
derivative of 3/5 x^{10}	derivative\:\frac{3}{5}x^{10}
integral of 1/((x+1/2)^2+3/4)	\int\:\frac{1}{(x+\frac{1}{2})^{2}+\frac{3}{4}}dx
integral of 6^3+3/x+1/(x^2)	\int\:6^{3}+\frac{3}{x}+\frac{1}{x^{2}}dx
(\partial)/(\partial x)(4ye^{5x^2-6y})	\frac{\partial\:}{\partial\:x}(4ye^{5x^{2}-6y})
limit as x approaches 0+of x^{1/x}	\lim\:_{x\to\:0+}(x^{\frac{1}{x}})
inverse oflaplace {1/(S^2+3S)}	inverselaplace\:\left\{\frac{1}{S^{2}+3S}\right\}
integral of (3x^2+2x+1)	\int\:(3x^{2}+2x+1)dx
(\partial)/(\partial z)(2xz)	\frac{\partial\:}{\partial\:z}(2xz)
integral of (e^{1/x})/(x^2)	\int\:\frac{e^{\frac{1}{x}}}{x^{2}}dx
(\partial)/(\partial x)(sqrt(3x^2+2y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{3x^{2}+2y^{2}})
area y=x^2-3x,y=4x	area\:y=x^{2}-3x,y=4x
(x^2+1)(dy)/(dx)+7x(y-1)=0,y(0)=9	(x^{2}+1)\frac{dy}{dx}+7x(y-1)=0,y(0)=9
integral of x^2e^{21x}	\int\:x^{2}e^{21x}dx
2y^'+ty=2	2y^{\prime\:}+ty=2
integral from 4 to 9 of 1/(sqrt(x))	\int\:_{4}^{9}\frac{1}{\sqrt{x}}dx
limit as x approaches 5 of (x-5)/(\|x-5\|)	\lim\:_{x\to\:5}(\frac{x-5}{\left\|x-5\right\|})
integral from 0 to 2 of sqrt(1+e^{-2y)}	\int\:_{0}^{2}\sqrt{1+e^{-2y}}dy
integral of sqrt(9/(1-x^2))	\int\:\sqrt{\frac{9}{1-x^{2}}}dx
limit as x approaches 15 of 2	\lim\:_{x\to\:15}(2)
derivative of (x^3+7/x)	\frac{d}{dx}(\frac{x^{3}+7}{x})
integral of sin^3(5x)cos^3(5x)	\int\:\sin^{3}(5x)\cos^{3}(5x)dx
derivative of (8+x^{1/x})	\frac{d}{dx}((8+x)^{\frac{1}{x}})
integral from 0 to 1 of (x^7)/(x^8-1)	\int\:_{0}^{1}\frac{x^{7}}{x^{8}-1}dx
derivative of (x+2/(x^2))	\frac{d}{dx}(\frac{x+2}{x^{2}})
taylor tan(x), pi/4	taylor\:\tan(x),\frac{π}{4}
y^'=(2-e^x)/(3+2y),y(0)=0	y^{\prime\:}=\frac{2-e^{x}}{3+2y},y(0)=0
derivative of y= 1/(x+ke^x)	derivative\:y=\frac{1}{x+ke^{x}}
inverse oflaplace 8	inverselaplace\:8
limit as x approaches+3 of 2x-5	\lim\:_{x\to\:+3}(2x-5)
derivative of tan^2(x)	derivative\:\tan^{2}(x)
derivative of x^2-ln(2)	\frac{d}{dx}(x^{2}-\ln(2))
limit as x approaches-1 of x/(3x+2)	\lim\:_{x\to\:-1}(\frac{x}{3x+2})
integral of ((e^x)/x)	\int\:(\frac{e^{x}}{x})dx
limit as h approaches-2 of (h^3+8)/(h+2)	\lim\:_{h\to\:-2}(\frac{h^{3}+8}{h+2})
limit as x approaches 4-of x^2+9/(x+4)	\lim\:_{x\to\:4-}(x^{2}+\frac{9}{x+4})
derivative of 7x+4	\frac{d}{dx}(7x+4)
(dy)/(dx)=x^2+x^2y^2,y(0)=1	\frac{dy}{dx}=x^{2}+x^{2}y^{2},y(0)=1
(\partial)/(\partial x)(0/0)	\frac{\partial\:}{\partial\:x}(\frac{0}{0})
derivative of 2xsin(x+x^2cos(x))	\frac{d}{dx}(2x\sin(x)+x^{2}\cos(x))
(\partial)/(\partial x)(xy^7+x^4+y^8)	\frac{\partial\:}{\partial\:x}(xy^{7}+x^{4}+y^{8})
slope of (-5,2),(3,-7)	slope\:(-5,2),(3,-7)
integral of (3x+2)/(x^2+1)	\int\:\frac{3x+2}{x^{2}+1}dx
area y=x^3-7x,y=9x	area\:y=x^{3}-7x,y=9x
laplacetransform t/5	laplacetransform\:\frac{t}{5}
y^'-6y=x	y^{\prime\:}-6y=x
integral from 2 to infinity of e^{-6p}	\int\:_{2}^{\infty\:}e^{-6p}dp
integral of (x+1)/((x-1)^2)	\int\:\frac{x+1}{(x-1)^{2}}dx
integral of x^2+6x	\int\:x^{2}+6xdx
(\partial)/(\partial x)(-(v(x,t))/(b(x,t)x-b(x,t)v(x,t)t))	\frac{\partial\:}{\partial\:x}(-\frac{v(x,t)}{b(x,t)x-b(x,t)v(x,t)t})
integral of pisin(x)	\int\:π\sin(x)dx
limit as x approaches 6+of sqrt(x-6)	\lim\:_{x\to\:6+}(\sqrt{x-6})
derivative of (x^2/x)	\frac{d}{dx}(\frac{x^{2}}{x})
integral of \sqrt[7]{x^3}(1+sqrt(x))	\int\:\sqrt[7]{x^{3}}(1+\sqrt{x})dx
limit as x approaches 1.9 of-x^2+5x-2	\lim\:_{x\to\:1.9}(-x^{2}+5x-2)
limit as x approaches-5 of (-6x)/(x+5)	\lim\:_{x\to\:-5}(\frac{-6x}{x+5})
(dy)/(dt)=-3(y-2)	\frac{dy}{dt}=-3(y-2)
(\partial)/(\partial x)(sqrt(3x+2xy^2))	\frac{\partial\:}{\partial\:x}(\sqrt{3x+2xy^{2}})
derivative of 2ln(1+x^2-3^x)	\frac{d}{dx}(2\ln(1+x^{2})-3^{x})
derivative of y=arccos((11)/x)	derivative\:y=\arccos(\frac{11}{x})
integral of xe^xy	\int\:xe^{x}ydx
integral from 1 to ln(x) of 1/t	\int\:_{1}^{\ln(x)}\frac{1}{t}dt
integral of 1/(x^{2/3)}	\int\:\frac{1}{x^{\frac{2}{3}}}dx
integral of (x^3)/((x-2)(x+3))	\int\:\frac{x^{3}}{(x-2)(x+3)}dx
tangent of y=(x^2)/(x+3),(2, 4/5)	tangent\:y=\frac{x^{2}}{x+3},(2,\frac{4}{5})
derivative of f(x)=4x^2+1	derivative\:f(x)=4x^{2}+1
y^'+1/2 y=8,y(0)=2	y^{\prime\:}+\frac{1}{2}y=8,y(0)=2
(\partial)/(\partial x)(((xv^2))/((x^2+v^2)))	\frac{\partial\:}{\partial\:x}(\frac{(xv^{2})}{(x^{2}+v^{2})})
derivative of ((x+2)/x)(7-2x^3)	derivative\:(\frac{x+2}{x})(7-2x^{3})
integral of 5/((5x+4)ln(5x+4))	\int\:\frac{5}{(5x+4)\ln(5x+4)}dx
integral of 6x^2-2x+1	\int\:6x^{2}-2x+1dx
sum from n=1 to infinity of n/(n^3+3)	\sum\:_{n=1}^{\infty\:}\frac{n}{n^{3}+3}
derivative of y=\sqrt[3]{2x}	derivative\:y=\sqrt[3]{2x}

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