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Popular Calculus Problems

derivative of 50x-xsqrt(x)	derivative\:50x-x\sqrt{x}
integral of 2/(3xsqrt(x))	\int\:\frac{2}{3x\sqrt{x}}dx
integral from 0 to pi/4 of 2tan^4(x)	\int\:_{0}^{\frac{π}{4}}2\tan^{4}(x)dx
derivative of 5sin(x)	derivative\:5\sin(x)
derivative of f(x)= 2/(x+2)	derivative\:f(x)=\frac{2}{x+2}
derivative of 4tan(x)	derivative\:4\tan(x)
derivative of (x-3/(x+3))	\frac{d}{dx}(\frac{x-3}{x+3})
derivative of (-2x^2/(5y^2))	\frac{d}{dx}(\frac{-2x^{2}}{5y^{2}})
integral from 0 to 3 of 2/(sqrt(3-x))	\int\:_{0}^{3}\frac{2}{\sqrt{3-x}}dx
derivative of (2x-1/(x+5))	\frac{d}{dx}(\frac{2x-1}{x+5})
integral of 12sin(x)cos(x)	\int\:12\sin(x)\cos(x)dx
integral of 3/(x^2+3x-10)	\int\:\frac{3}{x^{2}+3x-10}dx
(dy)/(dx)+y=e^{2x}	\frac{dy}{dx}+y=e^{2x}
derivative of y=xe^{x^2}	derivative\:y=xe^{x^{2}}
derivative of (3x-9/(x+5))	\frac{d}{dx}(\frac{3x-9}{x+5})
integral of (pi-x)*cos(nx)	\int\:(π-x)\cdot\:\cos(nx)dx
integral of (x^2)/((x^3-5)^2)	\int\:\frac{x^{2}}{(x^{3}-5)^{2}}dx
(dy)/(dx)=-1/x	\frac{dy}{dx}=-\frac{1}{x}
y^'+y=e^{2t},y(0)=-1	y^{\prime\:}+y=e^{2t},y(0)=-1
integral of (1-ln(x))	\int\:(1-\ln(x))dx
(\partial}{\partial y}(\frac{e^x+e^y)/2)	\frac{\partial\:}{\partial\:y}(\frac{e^{x}+e^{y}}{2})
y^{''}+2y^'+y=1,y(1)=1,y^'(1)=0	y^{\prime\:\prime\:}+2y^{\prime\:}+y=1,y(1)=1,y^{\prime\:}(1)=0
limit as x approaches-5+of ((x-5))/(x+5)	\lim\:_{x\to\:-5+}(\frac{(x-5)}{x+5})
derivative of (6x+12^3)	\frac{d}{dx}((6x+12)^{3})
integral of (x^2+2x+2)/(x+2)	\int\:\frac{x^{2}+2x+2}{x+2}dx
limit as x approaches-2+of (-8x)/(x+2)	\lim\:_{x\to\:-2+}(\frac{-8x}{x+2})
integral of 2cos(x	\int\:2\cos(d)xdx
inverse oflaplace 1/(s(s+6)(s+2))	inverselaplace\:\frac{1}{s(s+6)(s+2)}
limit as x approaches+6-of 1/(x-6)	\lim\:_{x\to\:+6-}(\frac{1}{x-6})
y^'=3y^2sin(x)	y^{\prime\:}=3y^{2}\sin(x)
(dy)/(dx)=sqrt(10x+y)-10	\frac{dy}{dx}=\sqrt{10x+y}-10
(\partial)/(\partial y)(ln(xy^2))	\frac{\partial\:}{\partial\:y}(\ln(xy^{2}))
integral of 1/(sqrt(1-u^2))	\int\:\frac{1}{\sqrt{1-u^{2}}}du
derivative of A/(y^9)+Be^y	derivative\:\frac{A}{y^{9}}+Be^{y}
integral of 3/(x^2+9)	\int\:\frac{3}{x^{2}+9}dx
integral of t/1	\int\:\frac{t}{1}dt
integral of 4tan(4x)	\int\:4\tan(4x)dx
derivative of xsqrt(6-x)	\frac{d}{dx}(x\sqrt{6-x})
4xdy-ydx=x^2dy	4xdy-ydx=x^{2}dy
integral of 4cos(x)sin(x)	\int\:4\cos(x)\sin(x)dx
derivative of 5x-3/x	derivative\:5x-\frac{3}{x}
derivative of 5*cos(x)	\frac{d}{dx}(5\cdot\:\cos(x))
4(dy)/(dx)=y^2	4\frac{dy}{dx}=y^{2}
limit as x approaches 0 of ((9^x-5^x))/x	\lim\:_{x\to\:0}(\frac{(9^{x}-5^{x})}{x})
y^'=y*k(100-y)	y^{\prime\:}=y\cdot\:k(100-y)
derivative of-(x^6/(sqrt(1+x^{12))})	\frac{d}{dx}(-\frac{x^{6}}{\sqrt{1+x^{12}}})
integral of x/((x+3)^2)	\int\:\frac{x}{(x+3)^{2}}dx
cot(x)y^'=y	\cot(x)y^{\prime\:}=y
(\partial)/(\partial y)(e^{x^2}+y^2)	\frac{\partial\:}{\partial\:y}(e^{x^{2}}+y^{2})
limit as x approaches 3+of (x^2)/(x-3)	\lim\:_{x\to\:3+}(\frac{x^{2}}{x-3})
derivative of 1/(x-1+1/(x+1))	\frac{d}{dx}(\frac{1}{x-1}+\frac{1}{x+1})
integral of 1/(sqrt(x-5))	\int\:\frac{1}{\sqrt{x-5}}dx
derivative of x+pi	\frac{d}{dx}(x+π)
derivative of y= 1/(x^9)	derivative\:y=\frac{1}{x^{9}}
integral of 1/((8x-1)^2)	\int\:\frac{1}{(8x-1)^{2}}dx
sum from n=1 to infinity of (-1)^n(1/n)	\sum\:_{n=1}^{\infty\:}(-1)^{n}(\frac{1}{n})
integral of e^{6x}	\int\:e^{6x}dx
integral of sin^2(ln(x))	\int\:\sin^{2}(\ln(x))dx
integral of (2x-9)/(sqrt(x^2-9x+1))	\int\:\frac{2x-9}{\sqrt{x^{2}-9x+1}}dx
(\partial)/(\partial x)((xy)/((x^2-y^2)^2))	\frac{\partial\:}{\partial\:x}(\frac{xy}{(x^{2}-y^{2})^{2}})
tangent of y=x^2+1,(-2,5)	tangent\:y=x^{2}+1,(-2,5)
taylor sqrt(x),\at 25	taylor\:\sqrt{x},\at\:25
derivative of x^4-2x^2+4	derivative\:x^{4}-2x^{2}+4
(\partial)/(\partial x)((5x-9y)/(5x+9y))	\frac{\partial\:}{\partial\:x}(\frac{5x-9y}{5x+9y})
integral of x^2ln(3x)	\int\:x^{2}\ln(3x)dx
integral from 0 to v of v	\int\:_{0}^{v}vdv
integral of-32t+18	\int\:-32t+18dt
integral from 0 to 3 of 1/(xsqrt(x))	\int\:_{0}^{3}\frac{1}{x\sqrt{x}}dx
limit as x approaches 0 of-sin(x)+x	\lim\:_{x\to\:0}(-\sin(x)+x)
derivative of f(x)=x(8-x)^3	derivative\:f(x)=x(8-x)^{3}
(x-9)y^'+y=x^2-1	(x-9)y^{\prime\:}+y=x^{2}-1
derivative of log_{5}(3x^2+4x)	\frac{d}{dx}(\log_{5}(3x^{2}+4x))
derivative of ((8x)/(8x+6))^{7x}	derivative\:(\frac{8x}{8x+6})^{7x}
derivative of y= 4/3 pir^6	derivative\:y=\frac{4}{3}πr^{6}
integral from 0 to 1 of pi(4x)^2	\int\:_{0}^{1}π(4x)^{2}dx
integral from 0 to 1 of e^{-x}+3x^2	\int\:_{0}^{1}e^{-x}+3x^{2}dx
limit as x approaches infinity+of 1/(x!)	\lim\:_{x\to\:\infty\:+}(\frac{1}{x!})
derivative of (sqrt(x)-1)/(x-1)	derivative\:\frac{\sqrt{x}-1}{x-1}
integral of 5/(xln(x))	\int\:\frac{5}{x\ln(x)}dx
integral of cos^7(x)sin(x)	\int\:\cos^{7}(x)\sin(x)dx
derivative of 3x^{-3}(x^4-3x^3+10x-9)	derivative\:3x^{-3}(x^{4}-3x^{3}+10x-9)
integral of 1/(x^2+z^2)	\int\:\frac{1}{x^{2}+z^{2}}dx
integral of (9e^x)/(e^x-1)	\int\:\frac{9e^{x}}{e^{x}-1}dx
(\partial)/(\partial x)(x^4+5x^2y)	\frac{\partial\:}{\partial\:x}(x^{4}+5x^{2}y)
y^{''}-7y^'+10y=0	y^{\prime\:\prime\:}-7y^{\prime\:}+10y=0
integral of 4/(x(ln(x))^2)	\int\:\frac{4}{x(\ln(x))^{2}}dx
tangent of x^4-3x^2+9	tangent\:x^{4}-3x^{2}+9
integral of x^2e^{-x/2}	\int\:x^{2}e^{-\frac{x}{2}}dx
integral of (x+6)(x-5)	\int\:(x+6)(x-5)dx
derivative of sin(tan(cos(2pix^4)))	\frac{d}{dx}(\sin(\tan(\cos(2πx^{4}))))
limit as x approaches-infinity of xln(x)	\lim\:_{x\to\:-\infty\:}(x\ln(x))
derivative of (sqrt(x-1)/(x+1))	\frac{d}{dx}(\frac{\sqrt{x-1}}{x+1})
derivative of x^2+x^2ln(x)	\frac{d}{dx}(x^{2}+x^{2}\ln(x))
(dy)/(dt)=t^4y	\frac{dy}{dt}=t^{4}y
taylor x^4,1	taylor\:x^{4},1
tangent of-(2x)/(x^2+1)	tangent\:-\frac{2x}{x^{2}+1}
integral from 0 to ln(2) of se^s	\int\:_{0}^{\ln(2)}se^{s}ds
(\partial)/(\partial x)(2/(2x+y))	\frac{\partial\:}{\partial\:x}(\frac{2}{2x+y})
limit as x approaches-2 of-x^2+4x-6	\lim\:_{x\to\:-2}(-x^{2}+4x-6)
tangent of f(x)=x^2+1,(-2,5)	tangent\:f(x)=x^{2}+1,(-2,5)

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