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Popular Calculus Problems

derivative of 4/(1-2x^3)	derivative\:\frac{4}{1-2x^{3}}
integral from 4 to 9 of x/(sqrt(9+x^2))	\int\:_{4}^{9}\frac{x}{\sqrt{9+x^{2}}}dx
integral of (e^{-x})/x	\int\:\frac{e^{-x}}{x}dx
(11y^2-xy)dx+x^2dy=0	(11y^{2}-xy)dx+x^{2}dy=0
integral from 3 to 5 of e^{-x/2}	\int\:_{3}^{5}e^{-\frac{x}{2}}dx
integral of sin^3(16x)	\int\:\sin^{3}(16x)dx
derivative of f(x)= 1/((x^3+7)^4)	derivative\:f(x)=\frac{1}{(x^{3}+7)^{4}}
derivative of 2x^3-4x	\frac{d}{dx}(2x^{3}-4x)
derivative of 2/(3x^4)	derivative\:\frac{2}{3x^{4}}
sum from n=1 to infinity of n/(5+n^2)	\sum\:_{n=1}^{\infty\:}\frac{n}{5+n^{2}}
area 2x-x^2,-2x	area\:2x-x^{2},-2x
integral of (1+16x)/(sqrt(25-x^2))	\int\:\frac{1+16x}{\sqrt{25-x^{2}}}dx
limit as x approaches 7 of (x^2-49)(((x-7))/(\|x-7\|))	\lim\:_{x\to\:7}((x^{2}-49)(\frac{(x-7)}{\left\|x-7\right\|}))
derivative of 6x+sqrt(x)	\frac{d}{dx}(6x+\sqrt{x})
integral of 2/(xsqrt(9-x^2))	\int\:\frac{2}{x\sqrt{9-x^{2}}}dx
limit as x approaches 0-of 1/0	\lim\:_{x\to\:0-}(\frac{1}{0})
tangent of f(x)=((10x))/(x^2-6),\at x=4	tangent\:f(x)=\frac{(10x)}{x^{2}-6},\at\:x=4
integral of (2x+3)sin(3x)	\int\:(2x+3)\sin(3x)dx
taylor ((-1)^nx^n)/(n!)	taylor\:\frac{(-1)^{n}x^{n}}{n!}
integral of x/((5-4x-x^2)^{3/2)}	\int\:\frac{x}{(5-4x-x^{2})^{\frac{3}{2}}}dx
integral of 6x-2	\int\:6x-2dx
derivative of g(w)= 8/(3w^5)+9sqrt(w)	derivative\:g(w)=\frac{8}{3w^{5}}+9\sqrt{w}
integral of sin(1/4)x	\int\:\sin(\frac{1}{4})xdx
integral of sqrt(3x+7)	\int\:\sqrt{3x+7}dx
derivative of e^{-(x-3^2})	\frac{d}{dx}(e^{-(x-3)^{2}})
integral from 0 to infinity of xe^{-sx}	\int\:_{0}^{\infty\:}xe^{-sx}dx
integral of tan^5(x)sec^6(x)	\int\:\tan^{5}(x)\sec^{6}(x)dx
derivative of (2x-2)^4(x^2+x+1)^4	derivative\:(2x-2)^{4}(x^{2}+x+1)^{4}
derivative of 7sec^5(pit-8)	derivative\:7\sec^{5}(πt-8)
limit as x approaches 4 of (8-2x)/(x-4)	\lim\:_{x\to\:4}(\frac{8-2x}{x-4})
derivative of 1/((x-4^2))	\frac{d}{dx}(\frac{1}{(x-4)^{2}})
y=(dy)/(dx)	y=\frac{dy}{dx}
integral of 1/(x^2(x-1))	\int\:\frac{1}{x^{2}(x-1)}dx
(\partial)/(\partial x)((xy+x+y)e^x)	\frac{\partial\:}{\partial\:x}((xy+x+y)e^{x})
derivative of g(x)=((x^2-1))/(x^2+x+1)	derivative\:g(x)=\frac{(x^{2}-1)}{x^{2}+x+1}
limit as x approaches 0 of 2x-p(x)	\lim\:_{x\to\:0}(2x-p(x))
derivative of (pix/(12))	\frac{d}{dx}(\frac{πx}{12})
6(dy)/(dx)+3e^{x+y}=0	6\frac{dy}{dx}+3e^{x+y}=0
tangent of g(x)=sqrt(x),(1,1)	tangent\:g(x)=\sqrt{x},(1,1)
(\partial)/(\partial x)(3xcos(4xy))	\frac{\partial\:}{\partial\:x}(3x\cos(4xy))
(\partial)/(\partial x)(9xe^{8xy})	\frac{\partial\:}{\partial\:x}(9xe^{8xy})
integral of x(x+1)^8	\int\:x(x+1)^{8}dx
(dy)/(dx)+y=xe^{5x}y^6	\frac{dy}{dx}+y=xe^{5x}y^{6}
integral from-2 to 2 of (x+5)	\int\:_{-2}^{2}(x+5)dx
y^'y^{''}=1	y^{\prime\:}y^{\prime\:\prime\:}=1
limit as x approaches 2 of 2	\lim\:_{x\to\:2}(2)
integral of x^{77}ln(x)	\int\:x^{77}\ln(x)dx
derivative of (cos(x)^2)	\frac{d}{dx}((\cos(x))^{2})
integral of (4x+3)e^{3x+1}	\int\:(4x+3)e^{3x+1}dx
integral of 1/((4+x)^2)	\int\:\frac{1}{(4+x)^{2}}dx
area y=-x^2+12x-32,y=0	area\:y=-x^{2}+12x-32,y=0
limit as x approaches 4 of (15)/(x-4)	\lim\:_{x\to\:4}(\frac{15}{x-4})
((dy)/(dx))-y=4e^x+24e^{(4x)}	(\frac{dy}{dx})-y=4e^{x}+24e^{(4x)}
derivative of-1/2 cot^3(x)	\frac{d}{dx}(-\frac{1}{2}\cot^{3}(x))
integral of-e^y	\int\:-e^{y}dy
f(x)=ln(x)sin(x)	f(x)=\ln(x)\sin(x)
derivative of ((x-6/(x+7))^3)	\frac{d}{dx}((\frac{x-6}{x+7})^{3})
limit as h approaches+0 of ((2+h)-2)/h	\lim\:_{h\to\:+0}(\frac{(2+h)-2}{h})
sum from n=0 to infinity of (n^2)/(n+1)	\sum\:_{n=0}^{\infty\:}\frac{n^{2}}{n+1}
laplacetransform x*sin(Ax)	laplacetransform\:x\cdot\:\sin(Ax)
derivative of-2x^3+10-3x^2+12x	\frac{d}{dx}(-2x^{3}+10-3x^{2}+12x)
inverse oflaplace 1/((s^4-9))	inverselaplace\:\frac{1}{(s^{4}-9)}
integral of (2xsin(x^2))	\int\:(2x\sin(x^{2}))dx
integral of sin(x)sqrt(x)	\int\:\sin(x)\sqrt{x}dx
xy^2y^'=2-y^3	xy^{2}y^{\prime\:}=2-y^{3}
area y=x-3,y^2=2x+18	area\:y=x-3,y^{2}=2x+18
tangent of f(x)= 1/(2+3x),\at x=2	tangent\:f(x)=\frac{1}{2+3x},\at\:x=2
integral of (13)/((x^2+1)^{3/2)}	\int\:\frac{13}{(x^{2}+1)^{\frac{3}{2}}}dx
integral of ln\|x\|*3x	\int\:\ln\left\|x\right\|\cdot\:3xdx
integral from 0 to infinity of 6e^{-2x}	\int\:_{0}^{\infty\:}6e^{-2x}dx
integral of (2x^4+2x^3-x)/(x^3)	\int\:\frac{2x^{4}+2x^{3}-x}{x^{3}}dx
limit as x approaches 0 of (x^{-2})/x	\lim\:_{x\to\:0}(\frac{x^{-2}}{x})
integral of (x^7+2)/((x^2+x+1)^2)	\int\:\frac{x^{7}+2}{(x^{2}+x+1)^{2}}dx
(dy)/(dx)=(cos(20x))/(e^{20y)}	\frac{dy}{dx}=\frac{\cos(20x)}{e^{20y}}
integral of tsin(t^2)cos(t^2)	\int\:t\sin(t^{2})\cos(t^{2})dt
area 8-x,x,[0,4]	area\:8-x,x,[0,4]
sum from n=7 to infinity of 5/(3n+7)	\sum\:_{n=7}^{\infty\:}\frac{5}{3n+7}
derivative of y=csc(x)-cot(x)	derivative\:y=\csc(x)-\cot(x)
sum from n=1 to infinity of n^2x^n	\sum\:_{n=1}^{\infty\:}n^{2}x^{n}
integral from 0 to 2pi of sin^3(x)	\int\:_{0}^{2π}\sin^{3}(x)dx
integral of x^3+2	\int\:x^{3}+2dx
limit as x approaches 15 of sqrt(x+3)	\lim\:_{x\to\:15}(\sqrt{x+3})
integral of (4-x)/((x+2)(x^2+2))	\int\:\frac{4-x}{(x+2)(x^{2}+2)}dx
(\partial)/(\partial y)((x+y)e^y)	\frac{\partial\:}{\partial\:y}((x+y)e^{y})
x(dy)/(dx)-3y=x^4	x\frac{dy}{dx}-3y=x^{4}
integral from 1 to e of ln(5x^3)	\int\:_{1}^{e}\ln(5x^{3})dx
integral from 0 to 5 of (7x-x^2)-2x	\int\:_{0}^{5}(7x-x^{2})-2xdx
(\partial)/(\partial y)(e^{xy^2})	\frac{\partial\:}{\partial\:y}(e^{xy^{2}})
integral from 1 to 2 of t^4f(t^5)	\int\:_{1}^{2}t^{4}f(t^{5})dt
tangent of y=5x^3-5x,(-1,0)	tangent\:y=5x^{3}-5x,(-1,0)
inverse oflaplace (1000)/(s+1000)	inverselaplace\:\frac{1000}{s+1000}
derivative of (2sqrt(2)/(x^2))	\frac{d}{dx}(\frac{2\sqrt{2}}{x^{2}})
derivative of (3e^x)/((3+e^x)^2)	derivative\:\frac{3e^{x}}{(3+e^{x})^{2}}
(\partial)/(\partial y)(5+x^2+y^2+2xy)	\frac{\partial\:}{\partial\:y}(5+x^{2}+y^{2}+2xy)
y^{''}+12y^'+36y=0	y^{\prime\:\prime\:}+12y^{\prime\:}+36y=0
integral of (((ln(x))^7))/x	\int\:\frac{((\ln(x))^{7})}{x}dx
derivative of-(x+1^{-1})	\frac{d}{dx}(-(x+1)^{-1})
d/(dy)(e^{x/y})	\frac{d}{dy}(e^{\frac{x}{y}})
limit as x approaches 6 of-1/(x-6)	\lim\:_{x\to\:6}(-\frac{1}{x-6})
(dy}{dx}=\frac{x^2+2y)/x	\frac{dy}{dx}=\frac{x^{2}+2y}{x}

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