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Popular Calculus Problems

integral from 2 to 5 of 1/x	\int\:_{2}^{5}\frac{1}{x}dx
tangent of x^2-1	tangent\:x^{2}-1
integral from 1 to 4 of 8sqrt(x)ln(x)	\int\:_{1}^{4}8\sqrt{x}\ln(x)dx
integral of (x^3+4xy)	\int\:(x^{3}+4xy)dx
integral from 0 to 1 of (x^2+1)(e^{-x})	\int\:_{0}^{1}(x^{2}+1)(e^{-x})dx
inverse oflaplace 1/(s^2+4s+8)	inverselaplace\:\frac{1}{s^{2}+4s+8}
derivative of g(x)= 3/(sqrt(6x+8))	derivative\:g(x)=\frac{3}{\sqrt{6x+8}}
integral of x^2-2x-3	\int\:x^{2}-2x-3dx
(1-2y+x)(dy)/(dx)+y=2x-1	(1-2y+x)\frac{dy}{dx}+y=2x-1
limit as x approaches 2 of e^x+e^{-x}	\lim\:_{x\to\:2}(e^{x}+e^{-x})
integral of sin(1-2x)cos(1+2x)	\int\:\sin(1-2x)\cos(1+2x)dx
limit as x approaches 0 of (x^4+3x)/x	\lim\:_{x\to\:0}(\frac{x^{4}+3x}{x})
tangent of f(x)=x+sqrt(x),\at x=9	tangent\:f(x)=x+\sqrt{x},\at\:x=9
limit as x approaches-1-of x/(1+x^3)	\lim\:_{x\to\:-1-}(\frac{x}{1+x^{3}})
derivative of (8x^2-5x(13x^2+4))	\frac{d}{dx}((8x^{2}-5x)(13x^{2}+4))
derivative of \sqrt[4]{y}	derivative\:\sqrt[4]{y}
(\partial)/(\partial x)(ce^{-x}sin(4x))	\frac{\partial\:}{\partial\:x}(ce^{-x}\sin(4x))
integral of 3te^t	\int\:3te^{t}dt
integral of (x^2)/(sqrt(x^3+3))	\int\:\frac{x^{2}}{\sqrt{x^{3}+3}}dx
limit as x approaches pi-of (pi-x)csc(x)	\lim\:_{x\to\:π-}((π-x)\csc(x))
integral of (sin(x))^2	\int\:(\sin(x))^{2}dx
integral of x^4(x^5+1)^9	\int\:x^{4}(x^{5}+1)^{9}dx
derivative of y+3yx^5=0	\frac{d}{dx}y+3yx^{5}=0
sum from n=1 to infinity of (4/10)^n*3	\sum\:_{n=1}^{\infty\:}(\frac{4}{10})^{n}\cdot\:3
area x^2,20-x	area\:x^{2},20-x
derivative of ln(cosh(8x))	\frac{d}{dx}(\ln(\cosh(8x)))
limit as x approaches-1 of 8	\lim\:_{x\to\:-1}(8)
(d^2)/(dx^2)(x^2e^{-2x})	\frac{d^{2}}{dx^{2}}(x^{2}e^{-2x})
integral from 0 to 8 of (8-x)^2	\int\:_{0}^{8}(8-x)^{2}dx
integral of (cos(t))/(sin^2(t))	\int\:\frac{\cos(t)}{\sin^{2}(t)}dt
integral of arcsin(7x)	\int\:\arcsin(7x)dx
(\partial)/(\partial y)(3ycos(pix)+2xz)	\frac{\partial\:}{\partial\:y}(3y\cos(πx)+2xz)
y^'= 3/x (y^2+y),y(4)=2	y^{\prime\:}=\frac{3}{x}(y^{2}+y),y(4)=2
integral of 1/v	\int\:\frac{1}{v}dv
laplacetransform 5e^{-3x}sin(5x)*x	laplacetransform\:5\cdot\:e^{-3x}\cdot\:\sin(5x)\cdot\:x
limit as x approaches 3 of 5-x	\lim\:_{x\to\:3}(5-x)
tangent of 1/16 tan^2(x)+cos(x)	tangent\:\frac{1}{16}\tan^{2}(x)+\cos(x)
limit as x approaches 1+of 3x	\lim\:_{x\to\:1+}(3x)
integral of (x^2+10x-1)/(x^3-x)	\int\:\frac{x^{2}+10x-1}{x^{3}-x}dx
integral from 0 to 3 of \sqrt[4]{x}	\int\:_{0}^{3}\sqrt[4]{x}dx
integral of-2ysqrt(2-y^2)	\int\:-2y\sqrt{2-y^{2}}dy
integral from-pi/3 to 0 of 2sec^3(x)	\int\:_{-\frac{π}{3}}^{0}2\sec^{3}(x)dx
integral from 0 to t of-10e^ssin(t-s)	\int\:_{0}^{t}-10e^{s}\sin(t-s)ds
integral of 1/(p^2+2p)	\int\:\frac{1}{p^{2}+2p}dp
integral from 0 to 1 of (x+4)(x-5)	\int\:_{0}^{1}(x+4)(x-5)dx
inverse oflaplace (1.6)/(3.2s+1)	inverselaplace\:\frac{1.6}{3.2s+1}
integral of (4x)/(1+2x)	\int\:\frac{4x}{1+2x}dx
area x=y^2,x=y+6	area\:x=y^{2},x=y+6
(\partial)/(\partial s)(scos(t-pi/2))	\frac{\partial\:}{\partial\:s}(s\cos(t-\frac{π}{2}))
derivative of (-3/(sqrt(x^2+9)))	\frac{d}{dx}(\frac{-3}{\sqrt{x^{2}+9}})
integral of (x^2)/(sqrt(a-x^2))	\int\:\frac{x^{2}}{\sqrt{a-x^{2}}}dx
derivative of csc(xcot(x))	\frac{d}{dx}(\csc(x)\cot(x))
f(t)=80e^{-t/(10)}-40t	f(t)=80e^{-\frac{t}{10}}-40t
derivative of x/(x-7)	derivative\:\frac{x}{x-7}
integral of (sin^2(x)cos(x))	\int\:(\sin^{2}(x)\cos(x))dx
derivative of x^{sqrt(2)}	derivative\:x^{\sqrt{2}}
area f(x)=-x^2+2,g(x)=-x-4	area\:f(x)=-x^{2}+2,g(x)=-x-4
integral of (-2)/(x+1)	\int\:\frac{-2}{x+1}dx
derivative of 1/(cos^2(x))	\frac{d}{dx}(\frac{1}{\cos^{2}(x)})
sum from n=1 to infinity of n^{-3/2}	\sum\:_{n=1}^{\infty\:}n^{-\frac{3}{2}}
integral of v^{-4/5}	\int\:v^{-\frac{4}{5}}dv
maclaurin e^{-ix}	maclaurin\:e^{-ix}
integral of 3/((3x-1)ln(3x-1))	\int\:\frac{3}{(3x-1)\ln(3x-1)}dx
integral of sin^6(ax)	\int\:\sin^{6}(ax)dx
integral of cos^2(v)	\int\:\cos^{2}(v)dv
integral of (2x+15)e^{0.25x}	\int\:(2x+15)e^{0.25x}dx
limit as x approaches infinity of 1^0	\lim\:_{x\to\:\infty\:}(1^{0})
area 1/4 x^2,2x^2,3-x	area\:\frac{1}{4}x^{2},2x^{2},3-x
derivative of arcsin(1-x)	\frac{d}{dx}(\arcsin(1-x))
integral of (r^2-10^r+4)/(r^3)	\int\:\frac{r^{2}-10^{r}+4}{r^{3}}dr
integral from 3 to infinity of 1/(x^2+x)	\int\:_{3}^{\infty\:}\frac{1}{x^{2}+x}dx
derivative of (3x-2^4)	\frac{d}{dx}((3x-2)^{4})
taylor x^7sin(x)	taylor\:x^{7}\sin(x)
integral of 2x(x^2+6)^9	\int\:2x(x^{2}+6)^{9}dx
derivative of arcsin(4-3x)	\frac{d}{dx}(\arcsin(4-3x))
integral from 0 to 1/2 of 3/(1+4x^2)	\int\:_{0}^{\frac{1}{2}}\frac{3}{1+4x^{2}}dx
derivative of ((x-5xsqrt(x))/(sqrt(x)))	\frac{d}{dx}(\frac{(x-5x\sqrt{x})}{\sqrt{x}})
t^2(dy)/(dt)+ty=6	t^{2}\frac{dy}{dt}+ty=6
sum from n=0 to infinity of n/3 (2/3)^n	\sum\:_{n=0}^{\infty\:}\frac{n}{3}(\frac{2}{3})^{n}
integral of \sqrt[3]{x}-x	\int\:\sqrt[3]{x}-xdx
integral from 1 to 5 of (sqrt(x^2-1))/x	\int\:_{1}^{5}\frac{\sqrt{x^{2}-1}}{x}dx
integral of 9sin^2(θ)	\int\:9\sin^{2}(θ)dθ
derivative of (2-x^2)/((2+x^2)^2)	derivative\:\frac{2-x^{2}}{(2+x^{2})^{2}}
derivative of 4x^3ln(x)	\frac{d}{dx}(4x^{3}\ln(x))
tangent of f(x)=110x-16x^2,\at x=3.438	tangent\:f(x)=110x-16x^{2},\at\:x=3.438
integral of 6cos(sqrt(7x))	\int\:6\cos(\sqrt{7x})dx
derivative of e^{sin(x^2)}	derivative\:e^{\sin(x^{2})}
limit as x approaches-infinity of (sqrt(2x^2+3))/(2x+3)	\lim\:_{x\to\:-\infty\:}(\frac{\sqrt{2x^{2}+3}}{2x+3})
limit as x approaches-1 of 3	\lim\:_{x\to\:-1}(3)
integral of (24x+24)e^{4x^2+8x+b}	\int\:(24x+24)e^{4x^{2}+8x+b}dx
derivative of (x^3+4e^{3x})	\frac{d}{dx}((x^{3}+4)e^{3x})
integral of e^{x+y^2-z}	\int\:e^{x+y^{2}-z}dx
integral of (ln(-2x))/(5x)	\int\:\frac{\ln(-2x)}{5x}dx
limit as t approaches 0 of (e^t-1)/(t^9)	\lim\:_{t\to\:0}(\frac{e^{t}-1}{t^{9}})
area y=x^2-7,y=6x	area\:y=x^{2}-7,y=6x
6y^{'''}+4y^{''}=0	6y^{\prime\:\prime\:\prime\:}+4y^{\prime\:\prime\:}=0
integral of x/(e^{x^2)}	\int\:\frac{x}{e^{x^{2}}}dx
integral of (1+x^2)/(1+x^4)	\int\:\frac{1+x^{2}}{1+x^{4}}dx
(\partial)/(\partial y)(-x^2y)	\frac{\partial\:}{\partial\:y}(-x^{2}y)
tangent of f(x)= 1/(x-1),\at x=-4	tangent\:f(x)=\frac{1}{x-1},\at\:x=-4

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