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Popular Calculus Problems

derivative of y=2xe^{-x}+2e^{x^5}	derivative\:y=2xe^{-x}+2e^{x^{5}}
integral of x^5-sec(x)+1/(2sqrt(x))	\int\:x^{5}-\sec(x)+\frac{1}{2\sqrt{x}}dx
integral of xIn^2x	\int\:xIn^{2}xdx
inverse oflaplace ((s+3))/((s+1)(s+2))	inverselaplace\:\frac{(s+3)}{(s+1)(s+2)}
integral of e^x-sin(x)	\int\:e^{x}-\sin(x)dx
taylor e^{0.42x}	taylor\:e^{0.42x}
integral of (-2x)/(1-x^2)	\int\:\frac{-2x}{1-x^{2}}dx
limit as x approaches-2 of (2x^2)/(x+2)	\lim\:_{x\to\:-2}(\frac{2x^{2}}{x+2})
integral of 3z	\int\:3zdz
integral of 7/(x-3)	\int\:\frac{7}{x-3}dx
y^'=(2xsec(y/x)+y)/x	y^{\prime\:}=\frac{2x\sec(\frac{y}{x})+y}{x}
derivative of y=4x^3e^{-x}	derivative\:y=4x^{3}e^{-x}
integral of (-(x^3)/3-x^2+4/3)	\int\:(-\frac{x^{3}}{3}-x^{2}+\frac{4}{3})dx
taylor f(x)=e^x,x=0	taylor\:f(x)=e^{x},x=0
derivative of Ae^{3x}	\frac{d}{dx}(Ae^{3x})
tangent of f(x)=5x^3,-10,15,\at x=0	tangent\:f(x)=5x^{3},-10,15,\at\:x=0
(\partial)/(\partial x)(sqrt(1-x^2-y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{1-x^{2}-y^{2}})
integral from-2 to 0 of y/2+sqrt(y+3)	\int\:_{-2}^{0}\frac{y}{2}+\sqrt{y+3}dy
derivative of (x^2+x^4)	\frac{d}{dx}((x^{2}+x)^{4})
derivative of y=4x^3-10x^2	derivative\:y=4x^{3}-10x^{2}
limit as x approaches 2-of (4x+1)/(x-2)	\lim\:_{x\to\:2-}(\frac{4x+1}{x-2})
integral of x^2arccos(x)	\int\:x^{2}\arccos(x)dx
integral of 6sin^6(x)cos^3(x)	\int\:6\sin^{6}(x)\cos^{3}(x)dx
limit as x approaches 4 of 4/(x-4)	\lim\:_{x\to\:4}(\frac{4}{x-4})
integral of sin^2(x^2)	\int\:\sin^{2}(x^{2})dx
limit as x approaches-4-of (2-x)/(4-x)	\lim\:_{x\to\:-4-}(\frac{2-x}{4-x})
derivative of x+4/x	derivative\:x+\frac{4}{x}
integral from 1 to sqrt(2 of)xe^{8x^2}	\int\:_{1}^{\sqrt{2}}xe^{8x^{2}}dx
xy^'+2y=-e^x	xy^{\prime\:}+2y=-e^{x}
y^'=-0.5y	y^{\prime\:}=-0.5y
derivative of f(x)=x^2(-3x^2-2)	derivative\:f(x)=x^{2}(-3x^{2}-2)
integral of 1/(x(x+3))	\int\:\frac{1}{x(x+3)}dx
derivative of ((tan(x-1))/(sec(x)))	\frac{d}{dx}(\frac{(\tan(x)-1)}{\sec(x)})
derivative of 39arctan(sqrt(x))	\frac{d}{dx}(39\arctan(\sqrt{x}))
limit as x approaches-5+of (x+6)/(x+5)	\lim\:_{x\to\:-5+}(\frac{x+6}{x+5})
derivative of f(x)= 1/x-1	derivative\:f(x)=\frac{1}{x}-1
integral of 15tan^3(θ)	\int\:15\tan^{3}(θ)dθ
x^2(dy)/(dx)+xy=5	x^{2}\frac{dy}{dx}+xy=5
integral from-8 to 0 of (1+sqrt(64-x^2))	\int\:_{-8}^{0}(1+\sqrt{64-x^{2}})dx
f(x)=sqrt(1+x^3)	f(x)=\sqrt{1+x^{3}}
sum from n=0 to infinity of n^n	\sum\:_{n=0}^{\infty\:}n^{n}
(\partial)/(\partial x)(4xy+6y^2)	\frac{\partial\:}{\partial\:x}(4xy+6y^{2})
tangent of f(x)=(x-1)^3,\at x=2	tangent\:f(x)=(x-1)^{3},\at\:x=2
integral of 1/(sqrt(x)(2a-x))	\int\:\frac{1}{\sqrt{x}(2a-x)}dx
integral from 1 to ln(3) of 1/x	\int\:_{1}^{\ln(3)}\frac{1}{x}dx
derivative of sqrt(2x^3-4x-8x+6)	\frac{d}{dx}(\sqrt{2x^{3}-4x-8x+6})
inverse oflaplace 1/(s^2)(1-e^{-5s})	inverselaplace\:\frac{1}{s^{2}}(1-e^{-5s})
derivative of 12x^3+24x^2	derivative\:12x^{3}+24x^{2}
(\partial)/(\partial y)(x^2-4xy+4y^2+2)	\frac{\partial\:}{\partial\:y}(x^{2}-4xy+4y^{2}+2)
sum from n=1 to infinity of cos(2/n)	\sum\:_{n=1}^{\infty\:}\cos(\frac{2}{n})
limit as x approaches 1+of 7/(x^3-1)	\lim\:_{x\to\:1+}(\frac{7}{x^{3}-1})
x(dy)/(dx)+3y=2x^5,y(2)=7	x\frac{dy}{dx}+3y=2x^{5},y(2)=7
slope of (83)(8-7)	slope\:(83)(8-7)
derivative of sqrt(1+e^{-5x)}	\frac{d}{dx}(\sqrt{1+e^{-5x}})
tangent of f(x)=(-6x)/((x^2+1))	tangent\:f(x)=\frac{-6x}{(x^{2}+1)}
limit as y approaches 0 of (2(x+y)-2x)/y	\lim\:_{y\to\:0}(\frac{2(x+y)-2x}{y})
integral of (x^2+108x+108)/(x^3-4x)	\int\:\frac{x^{2}+108x+108}{x^{3}-4x}dx
integral from 1 to 4 of-6sqrt(x)ln(x)	\int\:_{1}^{4}-6\sqrt{x}\ln(x)dx
limit as x approaches 4-of 3	\lim\:_{x\to\:4-}(3)
integral of (16)/(25+9r^2)	\int\:\frac{16}{25+9r^{2}}dr
derivative of (4x-x^2^3(1-x+2x^2)^2)	\frac{d}{dx}((4x-x^{2})^{3}(1-x+2x^{2})^{2})
integral of cx^2e^{-x}	\int\:cx^{2}e^{-x}dx
derivative of (x^3/4)	\frac{d}{dx}(\frac{x^{3}}{4})
roots 2pisqrt(l/g)	roots\:2π\sqrt{\frac{l}{g}}
integral of (cos(ax))/(sqrt(9+sin(ax)))	\int\:\frac{\cos(ax)}{\sqrt{9+\sin(ax)}}dx
tangent of f(x)=-x^2-2x-2	tangent\:f(x)=-x^{2}-2x-2
f(x)=x+ln(x)	f(x)=x+\ln(x)
integral from 1 to infinity of x	\int\:_{1}^{\infty\:}xdx
tangent of y=x^2+3x-5,\at x=2	tangent\:y=x^{2}+3x-5,\at\:x=2
(e^x+y)dx+(e^v+x)dy=0	(e^{x}+y)dx+(e^{v}+x)dy=0
integral from-infinity to 0 of 1/(5-7x)	\int\:_{-\infty\:}^{0}\frac{1}{5-7x}dx
derivative of h(x)=(sqrt(x))/(x^3+1)	derivative\:h(x)=\frac{\sqrt{x}}{x^{3}+1}
derivative of f(x)=x(4x-12)^3	derivative\:f(x)=x(4x-12)^{3}
derivative of (e^{4x}/(x^{12)})	\frac{d}{dx}(\frac{e^{4x}}{x^{12}})
derivative of f(x)=\sqrt[4]{x^5-x^3-2}	derivative\:f(x)=\sqrt[4]{x^{5}-x^{3}-2}
limit as x approaches+0-of (e^x)/(x^3)	\lim\:_{x\to\:+0-}(\frac{e^{x}}{x^{3}})
limit as n approaches infinity of 5^n	\lim\:_{n\to\:\infty\:}(5^{n})
(\partial)/(\partial y)(x^2-xy+y^2)	\frac{\partial\:}{\partial\:y}(x^{2}-xy+y^{2})
integral of x/((x+2)(x-4))	\int\:\frac{x}{(x+2)(x-4)}dx
integral of sec(2x)*tan(2x)	\int\:\sec(2x)\cdot\:\tan(2x)dx
integral of (2x-3)/(x^2+4)	\int\:\frac{2x-3}{x^{2}+4}dx
sum from n=1 to infinity of (2n)/(n^2)	\sum\:_{n=1}^{\infty\:}\frac{2n}{n^{2}}
derivative of y=-8xln(6x+5)	derivative\:y=-8x\ln(6x+5)
tangent of y=(x^3-16x)^{12},(4,0)	tangent\:y=(x^{3}-16x)^{12},(4,0)
d/(dy)(arctan(x+2y))	\frac{d}{dy}(\arctan(x+2y))
limit as x approaches 2 of sqrt(20-x^2)	\lim\:_{x\to\:2}(\sqrt{20-x^{2}})
derivative of sqrt(x)-sqrt(2)	\frac{d}{dx}(\sqrt{x}-\sqrt{2})
integral of 1/(sqrt(7x+5))	\int\:\frac{1}{\sqrt{7x+5}}dx
(\partial)/(\partial x)(2y(2+x)^{-1})	\frac{\partial\:}{\partial\:x}(2y(2+x)^{-1})
integral of (e^{2x})/((1+e^{2x))^3}	\int\:\frac{e^{2x}}{(1+e^{2x})^{3}}dx
integral of (x^2+y^2)^{3/2}	\int\:(x^{2}+y^{2})^{\frac{3}{2}}dx
sum from n=0 to infinity of (4^n)/(4^n)	\sum\:_{n=0}^{\infty\:}\frac{4^{n}}{4^{n}}
derivative of log_{e}(x-1)	\frac{d}{dx}(\log_{e}(x-1))
derivative of 1/(4+x)	\frac{d}{dx}(\frac{1}{4+x})
derivative of (4x-9ln((2x-5)(x-2)))	\frac{d}{dx}((4x-9)\ln((2x-5)(x-2)))
integral from 2 to 1 of (2/(x^2)-3x^2)	\int\:_{2}^{1}(\frac{2}{x^{2}}-3x^{2})dx
integral of 10(x-6)^4	\int\:10(x-6)^{4}dx
integral of 1/(x^2-x-2)	\int\:\frac{1}{x^{2}-x-2}dx
2y^{''}+8y^'=0	2y^{\prime\:\prime\:}+8y^{\prime\:}=0
tangent of y=x^2-3x+2	tangent\:y=x^{2}-3x+2

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