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Popular Calculus Problems

derivative of 0.9x^35^x	derivative\:0.9x^{3}5^{x}
integral of ((5+ln(x))^{2/3})/x	\int\:\frac{(5+\ln(x))^{\frac{2}{3}}}{x}dx
(\partial)/(\partial y)(x^{5y})	\frac{\partial\:}{\partial\:y}(x^{5y})
integral of (x^5)	\int\:(x^{5})dx
integral of sin(x+pi/4)	\int\:\sin(x+\frac{π}{4})dx
integral from 2 to infinity of e^{-3p}	\int\:_{2}^{\infty\:}e^{-3p}dp
integral of 1/(e^pi)	\int\:\frac{1}{e^{π}}dx
integral from 0 to pi/3 of xsin(2x)	\int\:_{0}^{\frac{π}{3}}x\sin(2x)dx
inverse oflaplace 1/((s+1)^3)	inverselaplace\:\frac{1}{(s+1)^{3}}
sum from n=1 to infinity of 2/(n^{3/2)}	\sum\:_{n=1}^{\infty\:}\frac{2}{n^{\frac{3}{2}}}
xy^2y^'=x+1	xy^{2}y^{\prime\:}=x+1
integral of (sqrt(9-4x))/x	\int\:\frac{\sqrt{9-4x}}{x}dx
tangent of y=9e^x+x,(0,9)	tangent\:y=9e^{x}+x,(0,9)
inverse oflaplace (s+5)/(s(s+2)(s+3))	inverselaplace\:\frac{s+5}{s(s+2)(s+3)}
integral of e^0	\int\:e^{0}
integral of sin^4(2x)*cos^2(2x)	\int\:\sin^{4}(2x)\cdot\:\cos^{2}(2x)dx
limit as x approaches 8-of (\|x+8\|)/(x+8)	\lim\:_{x\to\:8-}(\frac{\left\|x+8\right\|}{x+8})
(\partial)/(\partial y)((2x)/(y^2))	\frac{\partial\:}{\partial\:y}(\frac{2x}{y^{2}})
integral of sin^{(2)}(x)	\int\:\sin^{(2)}(x)dx
limit as x approaches 16 of sqrt(x+x^2)	\lim\:_{x\to\:16}(\sqrt{x+x^{2}})
inverse oflaplace 4+t^6	inverselaplace\:4+t^{6}
limit as x approaches-2 of-x^2+9x-4	\lim\:_{x\to\:-2}(-x^{2}+9x-4)
sum from n=1 to infinity of 2/((n+1)!)	\sum\:_{n=1}^{\infty\:}\frac{2}{(n+1)!}
limit as x approaches 0 of ln((1+1/x)^x)	\lim\:_{x\to\:0}(\ln((1+\frac{1}{x})^{x}))
y^{''}-10y^'+41y=0	y^{\prime\:\prime\:}-10y^{\prime\:}+41y=0
slope of (11,8),(3,-8)	slope\:(11,8),(3,-8)
maclaurin e^x,4	maclaurin\:e^{x},4
(\partial)/(\partial y)(4)	\frac{\partial\:}{\partial\:y}(4)
integral from-1 to 2 of y+2-y^2	\int\:_{-1}^{2}y+2-y^{2}dy
derivative of (3+x/(x-1))	\frac{d}{dx}(\frac{3+x}{x-1})
limit as x approaches 1 of 2/(x-1)	\lim\:_{x\to\:1}(\frac{2}{x-1})
integral of tan^5(x	\int\:\tan^{5}(d)xdx
tangent of x^2+xy+2y^2=58,(5,3)	tangent\:x^{2}+xy+2y^{2}=58,(5,3)
(dy)/(dx)=y^2-y	\frac{dy}{dx}=y^{2}-y
derivative of y= 7/(sqrt(x))	derivative\:y=\frac{7}{\sqrt{x}}
y^{''''}+4y=0	y^{\prime\:\prime\:\prime\:\prime\:}+4y=0
derivative of 3e^x+8x^2ln^2(x)	\frac{d}{dx}(3e^{x}+8x^{2}\ln^{2}(x))
derivative of f(x)= 5/(x^{11)}	derivative\:f(x)=\frac{5}{x^{11}}
inverse oflaplace 1/(s^2+4s+13)	inverselaplace\:\frac{1}{s^{2}+4s+13}
derivative of e^{12x}	\frac{d}{dx}(e^{12x})
integral of 1/(2x^2+5x-7)	\int\:\frac{1}{2x^{2}+5x-7}dx
(\partial)/(\partial y)(ze^{xyz})	\frac{\partial\:}{\partial\:y}(ze^{xyz})
limit as x approaches 4+of 1/((x+4)^3)	\lim\:_{x\to\:4+}(\frac{1}{(x+4)^{3}})
integral of (1/(cos^2(x)))	\int\:(\frac{1}{\cos^{2}(x)})dx
(\partial)/(\partial x)(15-5(x+3)^2)	\frac{\partial\:}{\partial\:x}(15-5(x+3)^{2})
integral of (sqrt(y)-y)	\int\:(\sqrt{y}-y)dy
integral of 1/(cosh(x))	\int\:\frac{1}{\cosh(x)}dx
y^{''}+8y^'+25y=0,y(0)=4,y^'(0)=-14	y^{\prime\:\prime\:}+8y^{\prime\:}+25y=0,y(0)=4,y^{\prime\:}(0)=-14
integral of a/x	\int\:\frac{a}{x}dx
(a(t)sin^3(t))^'	(a(t)\sin^{3}(t))^{\prime\:}
derivative of y=sin(7x)	derivative\:y=\sin(7x)
y^{''}+4y^'+17/4 y=0	y^{\prime\:\prime\:}+4y^{\prime\:}+\frac{17}{4}y=0
(\partial)/(\partial x)(1-cos(x))	\frac{\partial\:}{\partial\:x}(1-\cos(x))
integral of cos(pi/2)	\int\:\cos(\frac{π}{2})dx
derivative of-19.6t^2+9t+3	derivative\:-19.6t^{2}+9t+3
derivative of 40320	\frac{d}{dx}(40320)
f(x)=(x^3)/6	f(x)=\frac{x^{3}}{6}
integral from 3 to 6 of (sqrt(x^2-9))/x	\int\:_{3}^{6}\frac{\sqrt{x^{2}-9}}{x}dx
limit as x approaches 0 of 1/(sqrt(x-1))	\lim\:_{x\to\:0}(\frac{1}{\sqrt{x-1}})
integral of (x-1)(x^2-2x)^2	\int\:(x-1)(x^{2}-2x)^{2}dx
taylor (x^2+4)^{-3}	taylor\:(x^{2}+4)^{-3}
(\partial)/(\partial y)(2x^3+x^2y+3xy^2)	\frac{\partial\:}{\partial\:y}(2x^{3}+x^{2}y+3xy^{2})
slope of y=x^2+3	slope\:y=x^{2}+3
integral of (7x)/(e^{x^2)}	\int\:\frac{7x}{e^{x^{2}}}dx
integral of 1/(x^3)+6/(x^7)	\int\:\frac{1}{x^{3}}+\frac{6}{x^{7}}dx
sum from n=0 to infinity of 1/((2+2n)^3)	\sum\:_{n=0}^{\infty\:}\frac{1}{(2+2n)^{3}}
integral from-1 to 3 of 2x^2+8	\int\:_{-1}^{3}2x^{2}+8dx
integral of \sqrt[4]{y^5}	\int\:\sqrt[4]{y^{5}}dy
derivative of sqrt(x)(x-8)	derivative\:\sqrt{x}(x-8)
tangent of f(x)=2x^3-x^2+2,\at x=2	tangent\:f(x)=2x^{3}-x^{2}+2,\at\:x=2
(\partial)/(\partial y)(e^{-y}(x^2-y^2))	\frac{\partial\:}{\partial\:y}(e^{-y}(x^{2}-y^{2}))
derivative of 1/14 (e^{7x}+e^{-7x})	\frac{d}{dx}(\frac{1}{14}(e^{7x}+e^{-7x}))
integral from 0 to 1 of pi(tan(pi/4 y))^2	\int\:_{0}^{1}π(\tan(\frac{π}{4}y))^{2}dy
(\partial)/(\partial x)((5x+4y)/(3x+2y))	\frac{\partial\:}{\partial\:x}(\frac{5x+4y}{3x+2y})
integral of (tan(x))^2sec(x)	\int\:(\tan(x))^{2}\sec(x)dx
(\partial)/(\partial x)(sqrt(6-x^3-y^5))	\frac{\partial\:}{\partial\:x}(\sqrt{6-x^{3}-y^{5}})
derivative of arcsec(7x)	\frac{d}{dx}(\arcsec(7x))
derivative of (2x^2+4x)/((x+1)^2)	derivative\:\frac{2x^{2}+4x}{(x+1)^{2}}
(dy)/(dx)+1/x y= 1/y	\frac{dy}{dx}+\frac{1}{x}y=\frac{1}{y}
integral from-infinity to-4 of xe^x	\int\:_{-\infty\:}^{-4}xe^{x}dx
integral of 2x(x^2+1)	\int\:2x(x^{2}+1)dx
tangent of f(x)=x^2-2,(2,2)	tangent\:f(x)=x^{2}-2,(2,2)
derivative of 5xarcsin(x)	\frac{d}{dx}(5x\arcsin(x))
limit as x approaches infinity of 0,x	\lim\:_{x\to\:\infty\:}(0,x)
sum from n=1 to infinity of 2/3 (1/3)^n	\sum\:_{n=1}^{\infty\:}\frac{2}{3}(\frac{1}{3})^{n}
integral of 1/((x^2+2x+2))	\int\:\frac{1}{(x^{2}+2x+2)}dx
integral of x/(sqrt(x-7))	\int\:\frac{x}{\sqrt{x-7}}dx
integral of (sqrt(49-y^8))/(y^5)	\int\:\frac{\sqrt{49-y^{8}}}{y^{5}}dy
derivative of 40sqrt(x)-4x	\frac{d}{dx}(40\sqrt{x}-4x)
integral of 1/((x^2+16)^{3/2)}	\int\:\frac{1}{(x^{2}+16)^{\frac{3}{2}}}dx
tangent of f(x)=x^2-3,\at x=3	tangent\:f(x)=x^{2}-3,\at\:x=3
integral from a to 2a of (ax-(a^3)/x)	\int\:_{a}^{2a}(ax-\frac{a^{3}}{x})dx
limit as x approaches infinity of 4e^{-4x}	\lim\:_{x\to\:\infty\:}(4e^{-4x})
integral of x^{6/5}	\int\:x^{\frac{6}{5}}dx
integral from 1 to 3 of 3(2^{x+1})	\int\:_{1}^{3}3(2^{x+1})dx
derivative of 3x^4-2x^2+8	\frac{d}{dx}(3x^{4}-2x^{2}+8)
(dy)/(dx)=x^6y^{-3},y(0)=4	\frac{dy}{dx}=x^{6}y^{-3},y(0)=4
integral of (3sin(x)+4sec(x))/(tan(x))	\int\:\frac{3\sin(x)+4\sec(x)}{\tan(x)}dx
f(x)=x^{log_{10}(x)}	f(x)=x^{\log_{10}(x)}
integral of x/(ax+b)	\int\:\frac{x}{ax+b}dx

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