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Popular Calculus Problems
(\partial)/(\partial x)((2x^2+7x^2y)/(3xy))
\frac{\partial\:}{\partial\:x}(\frac{2x^{2}+7x^{2}y}{3xy})
limit as x approaches 6 of 1/(x-6)
\lim\:_{x\to\:6}(\frac{1}{x-6})
sum from n=0 to infinity of 18^nx^nn!
\sum\:_{n=0}^{\infty\:}18^{n}x^{n}n!
(ln|x|)^'
(\ln\left|x\right|)^{\prime\:}
derivative of f(x)=x^{11}arccot(x)
derivative\:f(x)=x^{11}\arccot(x)
2y^{''}-3y^'+y=0
2y^{\prime\:\prime\:}-3y^{\prime\:}+y=0
tangent of y=x^2-5x+5,(0,5)
tangent\:y=x^{2}-5x+5,(0,5)
limit as x approaches 5 of log_{3}(x-5)
\lim\:_{x\to\:5}(\log_{3}(x-5))
integral of 3tan^2(x)sec(x)
\int\:3\tan^{2}(x)\sec(x)dx
tangent of ax^2+bx+c
tangent\:ax^{2}+bx+c
derivative of-4cos(4x)
\frac{d}{dx}(-4\cos(4x))
(\partial)/(\partial y)(sin(x)+picos(y))
\frac{\partial\:}{\partial\:y}(\sin(x)+π\cos(y))
2v't(x)=v
2v\prime\:t(x)=v
integral of ((1-y)e^y)/(y^2)
\int\:\frac{(1-y)e^{y}}{y^{2}}dy
y(8x-9y)dx+2x(x-3y)dy=0
y(8x-9y)dx+2x(x-3y)dy=0
derivative of ax*e^{bx}
\frac{d}{dx}(ax\cdot\:e^{bx})
tangent of f(x)=(11x-1)^{-1/5},\at x=3
tangent\:f(x)=(11x-1)^{-\frac{1}{5}},\at\:x=3
(\partial)/(\partial x)((-y)/(x^2+y^2))
\frac{\partial\:}{\partial\:x}(\frac{-y}{x^{2}+y^{2}})
derivative of ln((2x+3^2))
\frac{d}{dx}(\ln((2x+3)^{2}))
derivative of x^{-9cos(x)}
derivative\:x^{-9\cos(x)}
derivative of log_{e}(5x)
\frac{d}{dx}(\log_{e}(5x))
integral of 1/(x(\sqrt[4]{x))}
\int\:\frac{1}{x(\sqrt[4]{x})}dx
integral of (x^2)/(8-x^3)
\int\:\frac{x^{2}}{8-x^{3}}dx
d/(dt)(1/(2+t))
\frac{d}{dt}(\frac{1}{2+t})
d/(dz)(z/(z+a/z))
\frac{d}{dz}(\frac{z}{z+\frac{a}{z}})
y^{''}+2y^'=8x
y^{\prime\:\prime\:}+2y^{\prime\:}=8x
(2x+1)(dy)/(dx)=4xy
(2x+1)\frac{dy}{dx}=4xy
integral of (sec(x)+cos(x))/(3cos(x))
\int\:\frac{\sec(x)+\cos(x)}{3\cos(x)}dx
derivative of x/(x^2+3)
derivative\:\frac{x}{x^{2}+3}
integral of cos^2(xsi)n^3x
\int\:\cos^{2}(xsi)n^{3}xdx
tangent of e^{-2t},\at t=0
tangent\:e^{-2t},\at\:t=0
derivative of (sqrt(x)/(x-2sqrt(x)))
\frac{d}{dx}(\frac{\sqrt{x}}{x-2\sqrt{x}})
limit as x approaches-1 of 2x^2+6x-1
\lim\:_{x\to\:-1}(2x^{2}+6x-1)
limit as x approaches 2 of 5/(|2-x|)
\lim\:_{x\to\:2}(\frac{5}{\left|2-x\right|})
derivative of e^{-x/a}
\frac{d}{dx}(e^{-\frac{x}{a}})
f(x)=e^xarctan(x)
f(x)=e^{x}\arctan(x)
factor 2sin(x)+sin^2(x)
factor\:2\sin(x)+\sin^{2}(x)
derivative of cot^3(x)
\frac{d}{dx}(\cot^{3}(x))
integral from-2 to 3 of (21)/(x^4)
\int\:_{-2}^{3}\frac{21}{x^{4}}dx
limit as x approaches 3 of (9-x^2)/(3-x)
\lim\:_{x\to\:3}(\frac{9-x^{2}}{3-x})
d/(dθ)(4sin(θ)cos^2(θ))
\frac{d}{dθ}(4\sin(θ)\cos^{2}(θ))
area 3x,4x^2
area\:3x,4x^{2}
derivative of acos(4x+bsin(4x))
\frac{d}{dx}(a\cos(4x)+b\sin(4x))
integral of 4cos^2(x)sin(x)
\int\:4\cos^{2}(x)\sin(x)dx
integral from 0 to 4 of (1/(sqrt(4-x)))
\int\:_{0}^{4}(\frac{1}{\sqrt{4-x}})dx
(\partial)/(\partial y)(e^{xsin(y)})
\frac{\partial\:}{\partial\:y}(e^{x\sin(y)})
derivative of arcsin(-1/2)
derivative\:\arcsin(-\frac{1}{2})
integral of (x^2)^{22}x^2)^2
\int\:(x^{2})^{22}d(x^{2})^{2}
derivative of tan^{x^2}(x)
\frac{d}{dx}(\tan^{x^{2}}(x))
laplacetransform (e^t)/(sqrt(t))
laplacetransform\:\frac{e^{t}}{\sqrt{t}}
integral of xcos((mpix)/2)
\int\:x\cos(\frac{mπx}{2})dx
derivative of (3/5 ^x)
\frac{d}{dx}((\frac{3}{5})^{x})
integral of sec(t)(4sec(t)+7tan(t))
\int\:\sec(t)(4\sec(t)+7\tan(t))dt
d/(dy)(ye^x)
\frac{d}{dy}(ye^{x})
limit as x approaches-infinity of x^{-2}
\lim\:_{x\to\:-\infty\:}(x^{-2})
derivative of (8x/(9-cot(x)))
\frac{d}{dx}(\frac{8x}{9-\cot(x)})
x^2y^{''}+7xy^'+8y=0,y(1)=0,y^'(1)=-5
x^{2}y^{\prime\:\prime\:}+7xy^{\prime\:}+8y=0,y(1)=0,y^{\prime\:}(1)=-5
(\partial)/(\partial y)(ln(2x+3y))
\frac{\partial\:}{\partial\:y}(\ln(2x+3y))
derivative of (x^3/2+1/(6x))
\frac{d}{dx}(\frac{x^{3}}{2}+\frac{1}{6x})
derivative of x^2+2x-6
derivative\:x^{2}+2x-6
integral of xsqrt(2x^2-1)
\int\:x\sqrt{2x^{2}-1}dx
d/(dt)(2t-3)
\frac{d}{dt}(2t-3)
limit as x approaches 3-of (4x)/(x-3)
\lim\:_{x\to\:3-}(\frac{4x}{x-3})
derivative of arctan(ln(4x^3))
\frac{d}{dx}(\arctan(\ln(4)x^{3}))
integral of 4x+9
\int\:4x+9dx
limit as x approaches 0-of (2^x)/x
\lim\:_{x\to\:0-}(\frac{2^{x}}{x})
derivative of (x^3}{100}-\frac{1500/x)
\frac{d}{dx}(\frac{x^{3}}{100}-\frac{1500}{x})
integral of 11arctan(sqrt(x))
\int\:11\arctan(\sqrt{x})dx
derivative of 16in(x^2-x^2)
\frac{d}{dx}(16in(x^{2})-x^{2})
tangent of f(x)= 1/(x-1),\at x=3
tangent\:f(x)=\frac{1}{x-1},\at\:x=3
integral of e^{2x-1}
\int\:e^{2x-1}dx
derivative of (x^2-3x^{-2/3}/x)
\frac{d}{dx}(\frac{x^{2}-3x^{-\frac{2}{3}}}{x})
integral of pi(8.4x-2x^2)^2
\int\:π(8.4x-2x^{2})^{2}dx
integral of tan^6(x)cos^7(x)
\int\:\tan^{6}(x)\cos^{7}(x)dx
integral of 17^x
\int\:17^{x}dx
derivative of-(0.4/(sqrt(5+5x)))
\frac{d}{dx}(-\frac{0.4}{\sqrt{5+5x}})
limit as x approaches 4 of (f(x)g(x))(x)
\lim\:_{x\to\:4}((f(x)g(x))(x))
integral of 1/((x-1)sqrt(15+2x-x^2))
\int\:\frac{1}{(x-1)\sqrt{15+2x-x^{2}}}dx
integral from 1 to 2 of x^4
\int\:_{1}^{2}x^{4}dx
integral of (1-x^2)^{1/2}
\int\:(1-x^{2})^{\frac{1}{2}}dx
(\partial)/(\partial y)(4x^3)
\frac{\partial\:}{\partial\:y}(4x^{3})
limit as x approaches 2+of x^3-cx
\lim\:_{x\to\:2+}(x^{3}-cx)
integral of (e^{1/(x^5)})/(x^6)
\int\:\frac{e^{\frac{1}{x^{5}}}}{x^{6}}dx
limit as x approaches 3 of-50[ln|x|]
\lim\:_{x\to\:3}(-50[\ln\left|x\right|])
integral from 0 to 1 of 3/(1+x^2)
\int\:_{0}^{1}\frac{3}{1+x^{2}}dx
integral from 0 to 1 of x(x^2+1)^3
\int\:_{0}^{1}x(x^{2}+1)^{3}dx
integral of ln(ex)
\int\:\ln(ex)dx
limit as x approaches 1 of x^2-x+1
\lim\:_{x\to\:1}(x^{2}-x+1)
integral of (x+2)^4
\int\:(x+2)^{4}dx
derivative of (x^5-3x^2)
\frac{d}{dx}((x^{5}-3x)^{2})
inverse oflaplace 5/(2s^2+3s+1)
inverselaplace\:\frac{5}{2s^{2}+3s+1}
derivative of (2x+1)^3
derivative\:(2x+1)^{3}
integral of x^2sin(pix)
\int\:x^{2}\sin(πx)dx
laplacetransform f(t)=e^{-3t}+3
laplacetransform\:f(t)=e^{-3t}+3
derivative of x^2-ln(x)
\frac{d}{dx}(x^{2}-\ln(x))
derivative of sin(x^2+pi)
derivative\:\sin(x^{2}+π)
derivative of 2sqrt(x)-1/(2sqrt(x))
derivative\:2\sqrt{x}-\frac{1}{2\sqrt{x}}
derivative of y=arcsin(x^4)
derivative\:y=\arcsin(x^{4})
(\partial)/(\partial x)(1/((1+x)))
\frac{\partial\:}{\partial\:x}(\frac{1}{(1+x)})
derivative of (x^2-3x+1)sqrt(25-x^2)
derivative\:(x^{2}-3x+1)\sqrt{25-x^{2}}
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