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Popular Calculus Problems

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
integral of sqrt(25-8x+x^2)	\int\:\sqrt{25-8x+x^{2}}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 f(x)=7arctan(7x)	derivative\:f(x)=7\arctan(7x)
derivative of y=-8xln(6x+5)	derivative\:y=-8x\ln(6x+5)
integral from 0 to 1 of (x+3)(x-4)	\int\:_{0}^{1}(x+3)(x-4)dx
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
integral of-3/(2x)	\int\:-\frac{3}{2x}dx
integral of e^{arcsin(x)}	\int\:e^{\arcsin(x)}dx
taylor cos(pix)	taylor\:\cos(πx)
derivative of (1-sec(x))/(tan(x))	derivative\:\frac{1-\sec(x)}{\tan(x)}
integral of 1/(a^2x^2+8ax+15)	\int\:\frac{1}{a^{2}x^{2}+8ax+15}dx
integral of (sqrt(x-2))/(x+2)	\int\:\frac{\sqrt{x-2}}{x+2}dx
tangent of f(x)=(x-2)(x^2-10x+25)	tangent\:f(x)=(x-2)(x^{2}-10x+25)
derivative of e^tsin(t)	derivative\:e^{t}\sin(t)
f(t)=sqrt(t^2+1)	f(t)=\sqrt{t^{2}+1}
sum from n=8 to infinity of e^{5-6n}	\sum\:_{n=8}^{\infty\:}e^{5-6n}
integral from 0 to 3/2 of cos(pix)	\int\:_{0}^{\frac{3}{2}}\cos(πx)dx
y^'=e^x	y^{\prime\:}=e^{x}
(\partial}{\partial y}(\frac{4y)/x)	\frac{\partial\:}{\partial\:y}(\frac{4y}{x})
(\partial)/(\partial y)((2x+3)(y-2))	\frac{\partial\:}{\partial\:y}((2x+3)(y-2))
derivative of 2e^{2x}-e^{-x}	\frac{d}{dx}(2e^{2x}-e^{-x})
derivative of 3/4 x^8	derivative\:\frac{3}{4}x^{8}
limit as y approaches 0 of ((2x))/(ky)	\lim\:_{y\to\:0}(\frac{(2x)}{ky})
derivative of f(x)= x/(sqrt(x)+2)	derivative\:f(x)=\frac{x}{\sqrt{x}+2}
derivative of 12e^{3x}	\frac{d}{dx}(12e^{3x})
limit as x approaches infinity of x-2x	\lim\:_{x\to\:\infty\:}(x-2x)
integral of (2x-1)/(4x^2+1)	\int\:\frac{2x-1}{4x^{2}+1}dx
slope ofintercept (2.1)(6.4)	slopeintercept\:(2.1)(6.4)
slope of y= 1/(sqrt(x))	slope\:y=\frac{1}{\sqrt{x}}
(\partial)/(\partial x)(3(y-2)^3(x-3))	\frac{\partial\:}{\partial\:x}(3(y-2)^{3}(x-3))
(dP)/(dt)=P(800-P)	\frac{dP}{dt}=P(800-P)
derivative of sqrt(x(x+5))	\frac{d}{dx}(\sqrt{x(x+5)})
integral of \|y\|	\int\:\left\|y\right\|dy
derivative of x^3(x-2)	derivative\:x^{3}(x-2)
maclaurin y=cos^2(x)	maclaurin\:y=\cos^{2}(x)
(\partial)/(\partial x)(8x^2+y^2-7y)	\frac{\partial\:}{\partial\:x}(8x^{2}+y^{2}-7y)

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