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Popular Calculus Problems

derivative of e^{x^4}	derivative\:e^{x^{4}}
integral of t^2cos^2(t)	\int\:t^{2}\cos^{2}(t)dt
integral of (x+10)/(sqrt(2-x-3x^2))	\int\:\frac{x+10}{\sqrt{2-x-3x^{2}}}dx
derivative of 3x^2-9	\frac{d}{dx}(3x^{2}-9)
sum from n=0 to infinity of (4^n)/(5^n)	\sum\:_{n=0}^{\infty\:}\frac{4^{n}}{5^{n}}
derivative of f(x)=(3x+70)^{50}	derivative\:f(x)=(3x+70)^{50}
y^{''}+6.2832y=0	y^{\prime\:\prime\:}+6.2832y=0
sum from n=0 to infinity of (4/5)^n	\sum\:_{n=0}^{\infty\:}(\frac{4}{5})^{n}
ty^'=2y-3t^2cos(4t)	ty^{\prime\:}=2y-3t^{2}\cos(4t)
(\partial)/(\partial x)(1/2 e^{2x})	\frac{\partial\:}{\partial\:x}(\frac{1}{2}e^{2x})
sum from n=1 to infinity of (1/11)^n	\sum\:_{n=1}^{\infty\:}(\frac{1}{11})^{n}
integral of x*sin(ax)	\int\:x\cdot\:\sin(ax)dx
x^2y^{''}+xy^'-y= 1/(x+1)	x^{2}y^{\prime\:\prime\:}+xy^{\prime\:}-y=\frac{1}{x+1}
limit as x approaches 1-of x/(ln(x))	\lim\:_{x\to\:1-}(\frac{x}{\ln(x)})
integral of ((x+3))/(2x^3-8x)	\int\:\frac{(x+3)}{2x^{3}-8x}dx
(\partial)/(\partial y)(xe^z)	\frac{\partial\:}{\partial\:y}(xe^{z})
derivative of sqrt(r^2-x^2)	\frac{d}{dx}(\sqrt{r^{2}-x^{2}})
(\partial)/(\partial x)(10^{x^2+x})	\frac{\partial\:}{\partial\:x}(10^{x^{2}+x})
derivative of 1/(sqrt(2x+3))	\frac{d}{dx}(\frac{1}{\sqrt{2x+3}})
derivative of x^2*cos(x)	derivative\:x^{2}\cdot\:\cos(x)
derivative of (x^3/3-1/(4x))	\frac{d}{dx}(\frac{x^{3}}{3}-\frac{1}{4x})
derivative of-0.5x	\frac{d}{dx}(-0.5x)
derivative of 5arctan(x)	\frac{d}{dx}(5\arctan(x))
integral from 3 to 6 of x/(x^2+4x+20)	\int\:_{3}^{6}\frac{x}{x^{2}+4x+20}dx
integral of 8x^9-3x^6+12x^3	\int\:8x^{9}-3x^{6}+12x^{3}dx
(\partial)/(\partial x)((x-1)^{2/3}(y-4))	\frac{\partial\:}{\partial\:x}((x-1)^{\frac{2}{3}}(y-4))
d/(dy)(yln(y))	\frac{d}{dy}(y\ln(y))
tangent of f(x)=6e^xcos(x),(0,6)	tangent\:f(x)=6e^{x}\cos(x),(0,6)
(\partial)/(\partial x)(cos(x^2+xy))	\frac{\partial\:}{\partial\:x}(\cos(x^{2}+xy))
sum from n=3 to infinity of 6/(n^2-1)	\sum\:_{n=3}^{\infty\:}\frac{6}{n^{2}-1}
implicit x^5+y^5=10	implicit\:x^{5}+y^{5}=10
limit as x approaches 0-of 1/(13x)	\lim\:_{x\to\:0-}(\frac{1}{13x})
derivative of f(x)=(4(x^2-1))/((4x^3-2x)^{2/3)}	derivative\:f(x)=\frac{4(x^{2}-1)}{(4x^{3}-2x)^{\frac{2}{3}}}
integral of te^{-t^2}	\int\:te^{-t^{2}}dt
limit as x approaches-pi/9 of 9x^2(5x)	\lim\:_{x\to\:-\frac{π}{9}}(9x^{2}(5x))
integral of cot^6(x)csc^2(x)	\int\:\cot^{6}(x)\csc^{2}(x)dx
integral of 1/(x^{0.5)}	\int\:\frac{1}{x^{0.5}}dx
slope ofintercept (-5)(0.1)	slopeintercept\:(-5)(0.1)
limit as x approaches 32 of (x^2)/4-8/x	\lim\:_{x\to\:32}(\frac{x^{2}}{4}-\frac{8}{x})
integral of sqrt(6-x)	\int\:\sqrt{6-x}dx
derivative of f(x)=3x^2-5	derivative\:f(x)=3x^{2}-5
integral of 20cos(10t+pi/6)	\int\:20\cos(10t+\frac{π}{6})dt
limit as x approaches pi of-7sin(-x/2)	\lim\:_{x\to\:π}(-7\sin(-\frac{x}{2}))
integral from-infinity to 3 of e^{0.0001t}	\int\:_{-\infty\:}^{3}e^{0.0001t}dt
(\partial)/(\partial y)(x/y)	\frac{\partial\:}{\partial\:y}(\frac{x}{y})
derivative of (4x-3^3)	\frac{d}{dx}((4x-3)^{3})
(\partial)/(\partial x)(20sqrt(xy))	\frac{\partial\:}{\partial\:x}(20\sqrt{xy})
integral from 0 to 2 of 1/(sqrt(4+t^2))	\int\:_{0}^{2}\frac{1}{\sqrt{4+t^{2}}}dt
3y^'+12y=4	3y^{\prime\:}+12y=4
integral of (2arcsin(x))/(sqrt(1-x^2))	\int\:\frac{2\arcsin(x)}{\sqrt{1-x^{2}}}dx
y^{''}+36y=36sin(6x)	y^{\prime\:\prime\:}+36y=36\sin(6x)
integral of (sqrt(324-x^2))/x	\int\:\frac{\sqrt{324-x^{2}}}{x}dx
5(dy)/(dt)+y=20t	5\frac{dy}{dt}+y=20t
integral of e^{5-2x}	\int\:e^{5-2x}dx
integral of cos(pix)	\int\:\cos(pix)dx
derivative of 4-\|x\|	\frac{d}{dx}(4-\left\|x\right\|)
integral of (e^{3x})/((1-2e^{3x))^2}	\int\:\frac{e^{3x}}{(1-2e^{3x})^{2}}dx
integral of e[2x]	\int\:e[2x]dx
integral of (3x)/(sqrt(x^2-1))	\int\:\frac{3x}{\sqrt{x^{2}-1}}dx
(\partial)/(\partial x)(x^2ln(xy))	\frac{\partial\:}{\partial\:x}(x^{2}\ln(xy))
derivative of 12x^2-12x	\frac{d}{dx}(12x^{2}-12x)
derivative of (e^x)/(3x^2)	derivative\:\frac{e^{x}}{3x^{2}}
derivative of (4x^3+3^2(5x^2+3))	\frac{d}{dx}((4x^{3}+3)^{2}(5x^{2}+3))
y^{''}+6y^'+34y=0,y(0)=4,y^'(0)=-11	y^{\prime\:\prime\:}+6y^{\prime\:}+34y=0,y(0)=4,y^{\prime\:}(0)=-11
derivative of \sqrt[4]{8x^2}	\frac{d}{dx}(\sqrt[4]{8x^{2}})
integral of sqrt(55-6x-x^2)	\int\:\sqrt{55-6x-x^{2}}dx
derivative of (ax+b)/(cx+d)	derivative\:\frac{ax+b}{cx+d}
derivative of 2xe^{2x}+2x^2e^{2x}	\frac{d}{dx}(2xe^{2x}+2x^{2}e^{2x})
integral of asin(x)	\int\:a\sin(x)dx
derivative of cos(x^2+y^2)	\frac{d}{dx}(\cos(x^{2}+y^{2}))
area y^2=4x,y=2x+4	area\:y^{2}=4x,y=2x+4
y^{''}+9y=-30sin(3t)	y^{\prime\:\prime\:}+9y=-30\sin(3t)
derivative of ln(sec(x-tan(x)))	\frac{d}{dx}(\ln(\sec(x)-\tan(x)))
derivative of (2-x/x)	\frac{d}{dx}(\frac{2-x}{x})
integral from-pi to pi of cos(nx)	\int\:_{-π}^{π}\cos(nx)dx
y^'=cos(x)	y^{\prime\:}=\cos(x)
inverse oflaplace (e^{-2s})/(s+3)	inverselaplace\:\frac{e^{-2s}}{s+3}
derivative of x^2*tan(x)	\frac{d}{dx}(x^{2}\cdot\:\tan(x))
inverse oflaplace (s+3)/(s^2+6s+13)	inverselaplace\:\frac{s+3}{s^{2}+6s+13}
integral of (3x-sin(x))	\int\:(3x-\sin(x))dx
limit as x approaches 7 of (1/x-1/7)/(x-7)	\lim\:_{x\to\:7}(\frac{\frac{1}{x}-\frac{1}{7}}{x-7})
integral of sin^2((pix)/2)	\int\:\sin^{2}(\frac{πx}{2})dx
integral of 1-csc(x)cot(x)	\int\:1-\csc(x)\cot(x)dx
(\partial)/(\partial y)(3xy+e^{-x^2y})	\frac{\partial\:}{\partial\:y}(3xy+e^{-x^{2}y})
derivative of \sqrt[3]{x}-2	\frac{d}{dx}(\sqrt[3]{x}-2)
derivative of x^2-2xy+y^2	\frac{d}{dx}(x^{2}-2xy+y^{2})
derivative of (1+e^{-x}^{-1})	\frac{d}{dx}((1+e^{-x})^{-1})
integral from 0 to 5 of e^{-x}	\int\:_{0}^{5}e^{-x}dx
(x^2+1)(dy)/(dx)+3x(y-1)=0,y(0)=3	(x^{2}+1)\frac{dy}{dx}+3x(y-1)=0,y(0)=3
(\partial)/(\partial x)(sqrt(y-x^2))	\frac{\partial\:}{\partial\:x}(\sqrt{y-x^{2}})
(\partial)/(\partial x)(rcos(x))	\frac{\partial\:}{\partial\:x}(r\cos(x))
limit as x approaches 7 of 3x-4	\lim\:_{x\to\:7}(3x-4)
integral of 2xsqrt(1-x^2)	\int\:2x\sqrt{1-x^{2}}dx
integral of 1/(sqrt(-x^2-8x-7))	\int\:\frac{1}{\sqrt{-x^{2}-8x-7}}dx
derivative of (sec(x)^2)	\frac{d}{dx}((\sec(x))^{2})
derivative of c*ln(x)	\frac{d}{dx}(c\cdot\:\ln(x))
area x^3-4x,12x	area\:x^{3}-4x,12x
derivative of sqrt(x/(x+5))	derivative\:\sqrt{\frac{x}{x+5}}
8y^{''}+26y=0	8y^{\prime\:\prime\:}+26y=0
inverse oflaplace 1/(s^3)	inverselaplace\:\frac{1}{s^{3}}

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