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Popular Calculus Problems
derivative of e^{-3x}sin(3x)
\frac{d}{dx}(e^{-3x}\sin(3x))
derivative of-3x^4
derivative\:-3x^{4}
derivative of f(x)=(e^{x-3})/(x-2)
derivative\:f(x)=\frac{e^{x-3}}{x-2}
integral of 1/(z^2-z)
\int\:\frac{1}{z^{2}-z}dz
integral from 1 to 7 of 1/(9+(x+2)^2)
\int\:_{1}^{7}\frac{1}{9+(x+2)^{2}}dx
integral of (2x^3-3x+5)
\int\:(2x^{3}-3x+5)dx
integral of xcot(x^2)
\int\:x\cot(x^{2})dx
y^'+y=e^{-t}
y^{\prime\:}+y=e^{-t}
sum from n=1 to infinity of (n-5)/n+5
\sum\:_{n=1}^{\infty\:}\frac{n-5}{n}+5
integral of (x^2)/(sqrt(x^2+6))
\int\:\frac{x^{2}}{\sqrt{x^{2}+6}}dx
integral of (e^{-1/(x^2)-3ln(x)}*1)
\int\:(e^{-\frac{1}{x^{2}}-3\ln(x)}\cdot\:1)dx
integral of ((3x-1))/(x^2+9)
\int\:\frac{(3x-1)}{x^{2}+9}dx
integral of 3^xe^x
\int\:3^{x}e^{x}dx
derivative of sin(x+csc(x))
\frac{d}{dx}(\sin(x)+\csc(x))
(xdy)/(dx)=2xe^x-y+6x^2
\frac{xdy}{dx}=2xe^{x}-y+6x^{2}
y^{''}+2y^'+y=x^2
y^{\prime\:\prime\:}+2y^{\prime\:}+y=x^{2}
derivative of 1/3 x^3-1/2 x^2-30x+2
derivative\:\frac{1}{3}x^{3}-\frac{1}{2}x^{2}-30x+2
tangent of y=(2x+3)/(3x-2)
tangent\:y=\frac{2x+3}{3x-2}
integral of 9cos(x)+5
\int\:9\cos(x)+5dx
(\partial)/(\partial x)(x^{0.1}y^{0.9})
\frac{\partial\:}{\partial\:x}(x^{0.1}y^{0.9})
limit as x approaches 0 of (sin(4x^2))/x
\lim\:_{x\to\:0}(\frac{\sin(4x^{2})}{x})
(\partial)/(\partial x)(x*y^2*z^3)
\frac{\partial\:}{\partial\:x}(x\cdot\:y^{2}\cdot\:z^{3})
expand (4x-3)^5(3-x^3)^2
expand\:(4x-3)^{5}(3-x^{3})^{2}
y^{''}-16y^'+64y=t^{-2}e^{8t}
y^{\prime\:\prime\:}-16y^{\prime\:}+64y=t^{-2}e^{8t}
slope of 3x^2+5y=0
slope\:3x^{2}+5y=0
integral from 1 to 1000 of 5/(x^3)
\int\:_{1}^{1000}\frac{5}{x^{3}}dx
tangent of f(x)=sqrt(5x+75),\at x=5
tangent\:f(x)=\sqrt{5x+75},\at\:x=5
integral of (1+2x)/(1+x^2)
\int\:\frac{1+2x}{1+x^{2}}dx
integral of 1/(sqrt((1+x^2)))
\int\:\frac{1}{\sqrt{(1+x^{2})}}dx
derivative of 3x^4-3x^3-2
\frac{d}{dx}(3x^{4}-3x^{3}-2)
limit as x approaches 1-of 3x
\lim\:_{x\to\:1-}(3x)
derivative of sqrt(pi/(2x))
\frac{d}{dx}(\sqrt{\frac{π}{2x}})
derivative of cos((1-x^2^2))
\frac{d}{dx}(\cos((1-x^{2})^{2}))
area y=x^2,y=4-x^2
area\:y=x^{2},y=4-x^{2}
derivative of x/(5+x)
\frac{d}{dx}(\frac{x}{5+x})
derivative of 10-x
\frac{d}{dx}(10-x)
limit as x approaches 0 of (2-2cos(x))/(e^x-x-1)
\lim\:_{x\to\:0}(\frac{2-2\cos(x)}{e^{x}-x-1})
integral of ((ln(x)))/(x^2)
\int\:\frac{(\ln(x))}{x^{2}}dx
(\partial)/(\partial x)(x^8y^6-x^7y^5)
\frac{\partial\:}{\partial\:x}(x^{8}y^{6}-x^{7}y^{5})
limit as x approaches infinity of 7^{-x}
\lim\:_{x\to\:\infty\:}(7^{-x})
(\partial)/(\partial x)((x+6y)/(y^2+3x^2))
\frac{\partial\:}{\partial\:x}(\frac{x+6y}{y^{2}+3x^{2}})
integral from 1 to 4 of 2/(x^2+4x+4)
\int\:_{1}^{4}\frac{2}{x^{2}+4x+4}dx
laplacetransform 3t-e^{-3t}
laplacetransform\:3t-e^{-3t}
(\partial)/(\partial x)(cos(8y-2x))
\frac{\partial\:}{\partial\:x}(\cos(8y-2x))
(\partial)/(\partial y)(x/(x^2+y^2))
\frac{\partial\:}{\partial\:y}(\frac{x}{x^{2}+y^{2}})
integral of 9xe^{-x}
\int\:9xe^{-x}dx
integral from 0 to 1 of x^3-3x^2+2x
\int\:_{0}^{1}x^{3}-3x^{2}+2xdx
derivative of y=x^2-5x+5
derivative\:y=x^{2}-5x+5
integral of x^2(6-x)
\int\:x^{2}(6-x)dx
2y^{''}-y^'-y=6e^{-x/2}
2y^{\prime\:\prime\:}-y^{\prime\:}-y=6e^{-\frac{x}{2}}
derivative of 7/(sqrt(x+5))
\frac{d}{dx}(\frac{7}{\sqrt{x+5}})
derivative of sin(4x+3)
\frac{d}{dx}(\sin(4x+3))
y^'=((x+y)^2)/(2x^2)
y^{\prime\:}=\frac{(x+y)^{2}}{2x^{2}}
tangent of f(x)=3x^3+2x^2+1,\at x=-1
tangent\:f(x)=3x^{3}+2x^{2}+1,\at\:x=-1
limit as x approaches-2-of (-3)/(x+2)
\lim\:_{x\to\:-2-}(\frac{-3}{x+2})
limit as x approaches 0 of ln(7/(x^2))
\lim\:_{x\to\:0}(\ln(\frac{7}{x^{2}}))
derivative of 5/(3x-4)
\frac{d}{dx}(\frac{5}{3x-4})
derivative of |x|
\frac{d}{dx}(\left|x\right|)
laplacetransform sin(3x)+cos(2x)
laplacetransform\:\sin(3x)+\cos(2x)
cos^2(x)y^'=e^{-y}sin(x)
\cos^{2}(x)y^{\prime\:}=e^{-y}\sin(x)
derivative of (2x^2+7)^5
derivative\:(2x^{2}+7)^{5}
(\partial)/(\partial x)(2e^{xy}ln(x^2+y^2))
\frac{\partial\:}{\partial\:x}(2e^{xy}\ln(x^{2}+y^{2}))
derivative of (2-3x/4)
\frac{d}{dx}(\frac{2-3x}{4})
d/(dv)(x^v)
\frac{d}{dv}(x^{v})
integral of 1/(x^2-1)
\int\:\frac{1}{x^{2}-1}dx
tangent of f(x)=sqrt(x+8),\at x=8
tangent\:f(x)=\sqrt{x+8},\at\:x=8
y^{''}+4y^'=2e^{2x}
y^{\prime\:\prime\:}+4y^{\prime\:}=2e^{2x}
integral of-k
\int\:-k
derivative of 4x+5/x
derivative\:4x+\frac{5}{x}
(\partial)/(\partial x)(6-x^2+xy-4y^2)
\frac{\partial\:}{\partial\:x}(6-x^{2}+xy-4y^{2})
area x^2+1,x+1
area\:x^{2}+1,x+1
integral of 1/((x^2+49)^{3/2)}
\int\:\frac{1}{(x^{2}+49)^{\frac{3}{2}}}dx
d/(dt)(Ate^{-t})
\frac{d}{dt}(Ate^{-t})
y^'+7(y/x)=x
y^{\prime\:}+7(\frac{y}{x})=x
derivative of (10/(1+e^{-3x)})
\frac{d}{dx}(\frac{10}{1+e^{-3x}})
derivative of e^{2x}*4
\frac{d}{dx}(e^{2x}\cdot\:4)
area y=sqrt(x),y= 1/2 x,x=25
area\:y=\sqrt{x},y=\frac{1}{2}x,x=25
laplacetransform sin(6(t-pi/2))
laplacetransform\:\sin(6(t-\frac{π}{2}))
integral of (3x+5)^2((7x-4)/(x^2))
\int\:(3x+5)^{2}(\frac{7x-4}{x^{2}})dx
limit as x approaches+0 of-7/(1-7x)
\lim\:_{x\to\:+0}(-\frac{7}{1-7x})
derivative of f(x)=7x-3
derivative\:f(x)=7x-3
implicit (dy)/(dx),5x^2+3xy-y^2=2
implicit\:\frac{dy}{dx},5x^{2}+3xy-y^{2}=2
derivative of x^{2cos(x})
\frac{d}{dx}(x^{2\cos(x)})
taylor x/(1+x)
taylor\:\frac{x}{1+x}
tangent of y=(-1e^x)/x ,(1,-1e)
tangent\:y=\frac{-1e^{x}}{x},(1,-1e)
x^2y^'+xy=4,y(1)=3
x^{2}y^{\prime\:}+xy=4,y(1)=3
f(x)=2x^{1/3}
f(x)=2x^{\frac{1}{3}}
integral of (x^4)/((1+x^2)^{3/2)}
\int\:\frac{x^{4}}{(1+x^{2})^{\frac{3}{2}}}dx
derivative of x^3+y^3
derivative\:x^{3}+y^{3}
integral of 6e^4
\int\:6e^{4}dx
integral from 1 to 2 of 9sqrt(4x^2-3)
\int\:_{1}^{2}9\sqrt{4x^{2}-3}dx
(\partial)/(\partial y)(9y^7x^8-8y^6x^7)
\frac{\partial\:}{\partial\:y}(9y^{7}x^{8}-8y^{6}x^{7})
integral from 0 to 2 of pi(4x^2)^2
\int\:_{0}^{2}π(4x^{2})^{2}dx
derivative of f(-5)=x^3-2
derivative\:f(-5)=x^{3}-2
integral from 0 to pi/2 of sin^2(4x)
\int\:_{0}^{\frac{π}{2}}\sin^{2}(4x)dx
derivative of nx
\frac{d}{dx}(nx)
integral of ((x+1)(x-1))/x
\int\:\frac{(x+1)(x-1)}{x}dx
integral of xsin(9x)
\int\:x\sin(9x)dx
3y^{''}=8e^{-4t}
3y^{\prime\:\prime\:}=8e^{-4t}
integral of cot^4(2x)
\int\:\cot^{4}(2x)dx
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