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Popular Calculus Problems
inverse oflaplace 1/(s-1)*e^{-s}
inverselaplace\:\frac{1}{s-1}\cdot\:e^{-s}
derivative of (350/(sqrt(x^2+y^2)))
\frac{d}{dx}(\frac{350}{\sqrt{x^{2}+y^{2}}})
(x^3e^{-3x})^'
(x^{3}e^{-3x})^{\prime\:}
slope of y=x^2
slope\:y=x^{2}
2(dy)/(dx)+1/x y=x^2y^{-1}
2\frac{dy}{dx}+\frac{1}{x}y=x^{2}y^{-1}
integral from 0 to 2 of 1+5/(4+x^2)
\int\:_{0}^{2}1+\frac{5}{4+x^{2}}dx
limit as x approaches-8+of (x+7)/(x+8)
\lim\:_{x\to\:-8+}(\frac{x+7}{x+8})
limit as x approaches 0+of x^x-1
\lim\:_{x\to\:0+}(x^{x}-1)
derivative of-2e^{-x}x
\frac{d}{dx}(-2e^{-x}x)
tangent of sin(4x)
tangent\:\sin(4x)
(\partial)/(\partial x)(1/(sqrt(3x)))
\frac{\partial\:}{\partial\:x}(\frac{1}{\sqrt{3x}})
limit as x approaches 1+of (x-1)|x-1|
\lim\:_{x\to\:1+}((x-1)\left|x-1\right|)
integral of cos(pi)x
\int\:\cos(π)xdx
integral of t^{17}e^{-t^{18}}
\int\:t^{17}e^{-t^{18}}dt
integral of (x+2)^{-2}
\int\:(x+2)^{-2}dx
integral of (6(x^2+5))/(x(x^2+6))
\int\:\frac{6(x^{2}+5)}{x(x^{2}+6)}dx
derivative of 1/3 x^{3/2}
derivative\:\frac{1}{3}x^{\frac{3}{2}}
integral from-1/5 to 1/5 of 1/(1-x^2)
\int\:_{-\frac{1}{5}}^{\frac{1}{5}}\frac{1}{1-x^{2}}dx
(3(y+1)^2)/(x^4)dx-((2x)(y+1))/(x^4)dy=0
\frac{3(y+1)^{2}}{x^{4}}dx-\frac{(2x)(y+1)}{x^{4}}dy=0
inverse oflaplace 10(e^{-3s})/s
inverselaplace\:10\frac{e^{-3s}}{s}
limit as x approaches 4-of sqrt(x-4)
\lim\:_{x\to\:4-}(\sqrt{x-4})
integral from 0 to pi of (x+sin(x))
\int\:_{0}^{π}(x+\sin(x))dx
derivative of a^5+cos^5(x)
derivative\:a^{5}+\cos^{5}(x)
sum from n=1 to infinity of (-3)^{-3n-1}
\sum\:_{n=1}^{\infty\:}(-3)^{-3n-1}
tangent of f(x)=e^{3x},(0,1)
tangent\:f(x)=e^{3x},(0,1)
derivative of (2x+5(x+1))
\frac{d}{dx}((2x+5)(x+1))
derivative of (4(-x^2+1)/((x^2+1)^2))
\frac{d}{dx}(\frac{4(-x^{2}+1)}{(x^{2}+1)^{2}})
y+y^'=sin(t)
y+y^{\prime\:}=\sin(t)
derivative of t^9cos(t)
derivative\:t^{9}\cos(t)
limit as h approaches+0 of (|h|)/h
\lim\:_{h\to\:+0}(\frac{\left|h\right|}{h})
integral of (ln(x)sin(ln(x)))/x
\int\:\frac{\ln(x)\sin(\ln(x))}{x}dx
limit as x approaches 1 of (x-1)/(x+1)
\lim\:_{x\to\:1}(\frac{x-1}{x+1})
integral of (e^{2x})/(e^x+3)
\int\:\frac{e^{2x}}{e^{x}+3}dx
(\partial)/(\partial x)(xln(x+7y))
\frac{\partial\:}{\partial\:x}(x\ln(x+7y))
tangent of f(x)=(x^2+8)(7-x)
tangent\:f(x)=(x^{2}+8)(7-x)
integral from 0 to 2 of x^7e^{x^4}
\int\:_{0}^{2}x^{7}e^{x^{4}}dx
derivative of (2x^2+1^4)
\frac{d}{dx}((2x^{2}+1)^{4})
derivative of x^{1/4}
derivative\:x^{\frac{1}{4}}
derivative of f(x)=(2x+2)/(x+7)
derivative\:f(x)=\frac{2x+2}{x+7}
derivative of tcos(t)
derivative\:t\cos(t)
limit as x approaches 1 of x/((x^3-1))
\lim\:_{x\to\:1}(\frac{x}{(x^{3}-1)})
derivative of 64e^{-4x}
\frac{d}{dx}(64e^{-4x})
(\partial)/(\partial y)((xy)/(x^2-y^2))
\frac{\partial\:}{\partial\:y}(\frac{xy}{x^{2}-y^{2}})
area y=sqrt(4x),x=4,x=9
area\:y=\sqrt{4x},x=4,x=9
limit as x approaches+0 of 1/x cos(1/x)
\lim\:_{x\to\:+0}(\frac{1}{x}\cos(\frac{1}{x}))
integral of 1/(t^2+4)
\int\:\frac{1}{t^{2}+4}dt
(dy}{dx}=\frac{x^4)/y
\frac{dy}{dx}=\frac{x^{4}}{y}
limit as x approaches 2 of x^2+2x-5
\lim\:_{x\to\:2}(x^{2}+2x-5)
integral of-2+18x-12x^2
\int\:-2+18x-12x^{2}dx
limit as x approaches 0 of 10xln(x)
\lim\:_{x\to\:0}(10x\ln(x))
derivative of (2x-5^4(x^2+x+1)^5)
\frac{d}{dx}((2x-5)^{4}(x^{2}+x+1)^{5})
derivative of 8x^3-x^5
\frac{d}{dx}(8x^{3}-x^{5})
(x-sin(x))^'
(x-\sin(x))^{\prime\:}
inverse oflaplace 1/(s^2+25)
inverselaplace\:\frac{1}{s^{2}+25}
derivative of f(x)=x^3-5x^2
derivative\:f(x)=x^{3}-5x^{2}
(\partial)/(\partial x)(e^y+4x^3y)
\frac{\partial\:}{\partial\:x}(e^{y}+4x^{3}y)
inverse oflaplace (-1)/s
inverselaplace\:\frac{-1}{s}
integral of-cos(3x)
\int\:-\cos(3x)dx
taylor 1/(x-1),22
taylor\:\frac{1}{x-1},22
derivative of 8(1-x^{-2})
\frac{d}{dx}(8(1-x)^{-2})
derivative of 1/2 x^6-3x^4+x
\frac{d}{dx}(\frac{1}{2}x^{6}-3x^{4}+x)
integral of e^{(a-s)t}
\int\:e^{(a-s)t}dt
limit as x approaches pi-of (x-pi)cot(x)
\lim\:_{x\to\:π-}((x-π)\cot(x))
integral of 3sin(2x)
\int\:3\sin(2x)dx
16(d^4y)/(dx^4)+48(d^2y)/(dx^2)+36y=0
16\frac{d^{4}y}{dx^{4}}+48\frac{d^{2}y}{dx^{2}}+36y=0
area x,x^2-4x+3
area\:x,x^{2}-4x+3
(\partial)/(\partial x)(ln(1+x^2y^2))
\frac{\partial\:}{\partial\:x}(\ln(1+x^{2}y^{2}))
(dy)/(dx)=(x-2)/(y-2)
\frac{dy}{dx}=\frac{x-2}{y-2}
integral of 10x^9+10x^5-2x^4-1
\int\:10x^{9}+10x^{5}-2x^{4}-1dx
derivative of 1/(x^8)
derivative\:\frac{1}{x^{8}}
derivative of sin(x)ln(sec(x)+tan(x))-1
derivative\:\sin(x)\ln(\sec(x)+\tan(x))-1
taylor x^{-2},7
taylor\:x^{-2},7
derivative of 7/(1+7x)
\frac{d}{dx}(\frac{7}{1+7x})
limit as x approaches 6 of (x^2-5)/(x-6)
\lim\:_{x\to\:6}(\frac{x^{2}-5}{x-6})
18xy^'-ln(x^6)=0,y(1)=12
18xy^{\prime\:}-\ln(x^{6})=0,y(1)=12
derivative of f(x)=x^2sqrt(3x+5)
derivative\:f(x)=x^{2}\sqrt{3x+5}
(\partial)/(\partial x)(-arctan(x/y))
\frac{\partial\:}{\partial\:x}(-\arctan(\frac{x}{y}))
sum from n=0 to infinity of (5/4)^n
\sum\:_{n=0}^{\infty\:}(\frac{5}{4})^{n}
slope of (8.1)(2.6)
slope\:(8.1)(2.6)
derivative of cos(a^4+x^4)
derivative\:\cos(a^{4}+x^{4})
(\partial)/(\partial x)((1x-1y)/(1x+1y))
\frac{\partial\:}{\partial\:x}(\frac{1x-1y}{1x+1y})
sum from n=0 to infinity of (-1)^n((ln(2))^n)/(n!)
\sum\:_{n=0}^{\infty\:}(-1)^{n}\frac{(\ln(2))^{n}}{n!}
sum from n=2 to infinity of 1/(3^n-2)
\sum\:_{n=2}^{\infty\:}\frac{1}{3^{n}-2}
derivative of 18xa-8+32xa-b+15+18xc-b+16
\frac{d}{dx}(18xa-8+32xa-b+15+18xc-b+16)
integral of cos(x)e^{sin(x)}
\int\:\cos(x)e^{\sin(x)}dx
area 12-x^2,x^2-6,-3,3
area\:12-x^{2},x^{2}-6,-3,3
integral of 3cot^3(x)csc^3(x)
\int\:3\cot^{3}(x)\csc^{3}(x)dx
integral of (5x-2)/((x+2)(x-2))
\int\:\frac{5x-2}{(x+2)(x-2)}dx
(dy)/(dx)=x^2(1+y),y(0)=3
\frac{dy}{dx}=x^{2}(1+y),y(0)=3
limit as x approaches 0 of csc(x)ln(x+1)
\lim\:_{x\to\:0}(\csc(x)\ln(x+1))
derivative of 5+1/2 sin(5pit)
derivative\:5+\frac{1}{2}\sin(5πt)
y^{''}-8y^'+20y=100x^2-91xe^x
y^{\prime\:\prime\:}-8y^{\prime\:}+20y=100x^{2}-91xe^{x}
derivative of x^{-1/4}
\frac{d}{dx}(x^{-\frac{1}{4}})
derivative of (250/(1+4e^{-0.75x)})
\frac{d}{dx}(\frac{250}{1+4e^{-0.75x}})
integral of (-e^{4x})/(4x)
\int\:\frac{-e^{4x}}{4x}dx
integral of 27x^2cos(3x)
\int\:27x^{2}\cos(3x)dx
slope of (5,-5),(1,5)
slope\:(5,-5),(1,5)
integral of-(1000)/(x^2)
\int\:-\frac{1000}{x^{2}}dx
(dy)/(dx)= 1/2 y
\frac{dy}{dx}=\frac{1}{2}y
derivative of y=(4x^2+4x+2)/(sqrt(x))
derivative\:y=\frac{4x^{2}+4x+2}{\sqrt{x}}
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