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Popular Calculus Problems

derivative of 3x^2+8	\frac{d}{dx}(3x^{2}+8)
integral from-1 to 2 of (3x^2+2)	\int\:_{-1}^{2}(3x^{2}+2)dx
limit as x approaches 1/3 x of sin(x)	\lim\:_{x\to\:\frac{1}{3}x}(\sin(x))
y^'=e^{2x-y}	y^{\prime\:}=e^{2x-y}
taylor 2x^2+2x	taylor\:2x^{2}+2x
tangent of f(x)= x/(x^2+81),\at x=0	tangent\:f(x)=\frac{x}{x^{2}+81},\at\:x=0
integral from-pi to pi of \|x\|cos(nx)	\int\:_{-π}^{π}\left\|x\right\|\cos(nx)dx
integral from 0 to 1 of (x^4+4)/x	\int\:_{0}^{1}\frac{x^{4}+4}{x}dx
limit as x approaches 4 of 1/((4-x)^2)	\lim\:_{x\to\:4}(\frac{1}{(4-x)^{2}})
derivative of a+bxcos(3x+cxsin(3x))	\frac{d}{dx}(a+bx\cos(3x)+cx\sin(3x))
(\partial)/(\partial x)(2xy-2y)	\frac{\partial\:}{\partial\:x}(2xy-2y)
(\partial)/(\partial y)(1/(1+x^2+y^2))	\frac{\partial\:}{\partial\:y}(\frac{1}{1+x^{2}+y^{2}})
derivative of x^2sqrt(x^3+a^3)	\frac{d}{dx}(x^{2}\sqrt{x^{3}+a^{3}})
integral of (3x^3+3x+2)/(x^3+x)	\int\:\frac{3x^{3}+3x+2}{x^{3}+x}dx
tangent of f(x)= 1/(x^4),\at x=3	tangent\:f(x)=\frac{1}{x^{4}},\at\:x=3
(\partial)/(\partial z)(xe^z)	\frac{\partial\:}{\partial\:z}(xe^{z})
integral of x^2+3x-1000000	\int\:x^{2}+3x-1000000dx
derivative of 1/(x+9)	derivative\:\frac{1}{x+9}
integral of (e^{x/2})/x	\int\:\frac{e^{\frac{x}{2}}}{x}dx
integral of 7x^3+4x^2	\int\:7x^{3}+4x^{2}dx
tangent of 3/(2sqrt(x))	tangent\:\frac{3}{2\sqrt{x}}
derivative of ln((x-3^2))	\frac{d}{dx}(\ln((x-3)^{2}))
taylor sqrt(x)	taylor\:\sqrt{x}
derivative of 1/(x^7+1/(x^8))	\frac{d}{dx}(\frac{1}{x^{7}}+\frac{1}{x^{8}})
derivative of (3x-2x^23)	\frac{d}{dx}((3x-2x^{2})3)
sum from n=1 to infinity of ne^{7n}	\sum\:_{n=1}^{\infty\:}ne^{7n}
derivative of x/((1+x^2))	derivative\:\frac{x}{(1+x^{2})}
limit as x approaches-4 of (x^2+2)/(x+5)	\lim\:_{x\to\:-4}(\frac{x^{2}+2}{x+5})
(dy)/(dx)=xy^2	\frac{dy}{dx}=xy^{2}
(\partial)/(\partial y)(x*y+y^2)	\frac{\partial\:}{\partial\:y}(x\cdot\:y+y^{2})
integral of cos(x)-1	\int\:\cos(x)-1dx
tangent of f(x)=2xe^x,\at x=0	tangent\:f(x)=2xe^{x},\at\:x=0
(\partial)/(\partial x)(4ln(xy)+3ln(yz)+ln(xz))	\frac{\partial\:}{\partial\:x}(4\ln(xy)+3\ln(yz)+\ln(xz))
area x=y^2-4y,x=y-y^2	area\:x=y^{2}-4y,x=y-y^{2}
2y^{''}-15y^'-8y=0	2y^{\prime\:\prime\:}-15y^{\prime\:}-8y=0
integral from-1 to 1 of x-sqrt(1-x^2)	\int\:_{-1}^{1}x-\sqrt{1-x^{2}}dx
derivative of y=(x^6-10)sqrt(x)	derivative\:y=(x^{6}-10)\sqrt{x}
integral of sin^5(x)cos^8(x)	\int\:\sin^{5}(x)\cos^{8}(x)dx
sum from n=3 to infinity of 1/(n^2-1)	\sum\:_{n=3}^{\infty\:}\frac{1}{n^{2}-1}
inverse oflaplace s/((s^2+9)^2)	inverselaplace\:\frac{s}{(s^{2}+9)^{2}}
tangent of y= 1/(sqrt(4-x))	tangent\:y=\frac{1}{\sqrt{4-x}}
integral of ((4x-7))/(x^2-6x+13)	\int\:\frac{(4x-7)}{x^{2}-6x+13}dx
derivative of-7/(x^2)	derivative\:-\frac{7}{x^{2}}
area y=8-x^2,y=x^2,x=-3,x=3	area\:y=8-x^{2},y=x^{2},x=-3,x=3
(x^2+4)dy=(2x-8xy)dx	(x^{2}+4)dy=(2x-8xy)dx
integral of-2/(pin)cos((pin)/2 x)	\int\:-\frac{2}{πn}\cos(\frac{πn}{2}x)dx
(dy)/(dx)=(7x^2)/(5y^2)	\frac{dy}{dx}=\frac{7x^{2}}{5y^{2}}
derivative of f(x)=(((x+1))/((x-1)))^2	derivative\:f(x)=(\frac{(x+1)}{(x-1)})^{2}
integral of 7tan^2(x)sec(x)	\int\:7\tan^{2}(x)\sec(x)dx
limit as x approaches 0 of 2/(1+2^{1/x)}	\lim\:_{x\to\:0}(\frac{2}{1+2^{\frac{1}{x}}})
integral of 1/(sqrt(x^2+16x))	\int\:\frac{1}{\sqrt{x^{2}+16x}}dx
derivative of (e^{xx}-e^x/(x^2))	\frac{d}{dx}(\frac{e^{xx}-e^{x}}{x^{2}})
limit as x approaches 5 of 6/x	\lim\:_{x\to\:5}(\frac{6}{x})
integral of 1/(1+tan(x))	\int\:\frac{1}{1+\tan(x)}dx
y^{''}+6y^'=0,y(0)=1,y^'(0)=1	y^{\prime\:\prime\:}+6y^{\prime\:}=0,y(0)=1,y^{\prime\:}(0)=1
integral of x*e^{-3x}	\int\:x\cdot\:e^{-3x}dx
integral of (x^2+6x+5)/(x^2+2x+1)	\int\:\frac{x^{2}+6x+5}{x^{2}+2x+1}dx
derivative of arccos(((x+1)/2))	\frac{d}{dx}(\arccos(\frac{(x+1)}{2}))
integral from-7 to 0 of 1/(sqrt(9-x))	\int\:_{-7}^{0}\frac{1}{\sqrt{9-x}}dx
derivative of (sqrt(x^5)/(x^3))	\frac{d}{dx}(\frac{\sqrt{x^{5}}}{x^{3}})
derivative of 5x^2cos(x+x)	\frac{d}{dx}(5x^{2}\cos(x)+x)
(\partial)/(\partial y)(((y+x))/((y-x)))	\frac{\partial\:}{\partial\:y}(\frac{(y+x)}{(y-x)})
tangent of f(x)=x^2-2	tangent\:f(x)=x^{2}-2
2(dy)/(dx)=xy(x+1)	2\frac{dy}{dx}=xy(x+1)
integral of x(2x+7)^8	\int\:x(2x+7)^{8}dx
integral of 1/(x(2-x))	\int\:\frac{1}{x(2-x)}dx
integral of 1/(6x-1)	\int\:\frac{1}{6x-1}dx
integral of x^2e^{bx}	\int\:x^{2}e^{bx}dx
laplacetransform sin(t+pi)	laplacetransform\:\sin(t+π)
integral of 1/((x-1)^2(x-2))	\int\:\frac{1}{(x-1)^{2}(x-2)}dx
derivative of y=9e^xcos(x)	derivative\:y=9e^{x}\cos(x)
taylor sqrt(1-x)	taylor\:\sqrt{1-x}
integral of 1/(m^3+m)	\int\:\frac{1}{m^{3}+m}dm
derivative of e^{-6x}-6e^{-6x}x	\frac{d}{dx}(e^{-6x}-6e^{-6x}x)
limit as x approaches infinity of 0.53^2	\lim\:_{x\to\:\infty\:}(0.53^{2})
integral from 0 to 1 of sqrt(1-(x-1)^2)	\int\:_{0}^{1}\sqrt{1-(x-1)^{2}}dx
integral of (-7sec^2(x))	\int\:(-7\sec^{2}(x))dx
partialfraction (x^2)/(x^2+3)	partialfraction\:\frac{x^{2}}{x^{2}+3}
derivative of y=(sqrt(x)+x)/(x^2)	derivative\:y=\frac{\sqrt{x}+x}{x^{2}}
integral of (2x-3/x)^2	\int\:(2x-\frac{3}{x})^{2}dx
slope of (-7,-9),(-2,-9)	slope\:(-7,-9),(-2,-9)
integral of (x^{1.4}+7x^{2.5})	\int\:(x^{1.4}+7x^{2.5})dx
derivative of (sqrt(x^2-2x)/(x^2))	\frac{d}{dx}(\frac{\sqrt{x^{2}-2x}}{x^{2}})
f(x)= x/(x^2+4)	f(x)=\frac{x}{x^{2}+4}
t^3y^'+4t^2y=e^{-t},y(-1)=0	t^{3}y^{\prime\:}+4t^{2}y=e^{-t},y(-1)=0
integral of-3sin(x)	\int\:-3\sin(x)dx
expand sqrt(x)(x^2+1)^{10}	expand\:\sqrt{x}(x^{2}+1)^{10}
integral from 1 to 5 of (x-3)	\int\:_{1}^{5}(x-3)dx
derivative of 1/(t^2+6t-2)	derivative\:\frac{1}{t^{2}+6t-2}
derivative of x^4+3x^2-6	\frac{d}{dx}(x^{4}+3x^{2}-6)
limit as x approaches 0 of (5x)/(x^2+5x)	\lim\:_{x\to\:0}(\frac{5x}{x^{2}+5x})
(dy)/(dx)+2y=e^xy^{-6}	\frac{dy}{dx}+2y=e^{x}y^{-6}
integral of ((ln(x))2)/x	\int\:\frac{(\ln(x))2}{x}dx
integral from 0 to pi/2 of e^{sin(5pix)}cos(5pix)	\int\:_{0}^{\frac{π}{2}}e^{\sin(5πx)}\cos(5πx)dx
integral of 2x(x^2+6)^7	\int\:2x(x^{2}+6)^{7}dx
inverse oflaplace {1/(4s+1)}	inverselaplace\:\left\{\frac{1}{4s+1}\right\}
integral of (5sec(x)-cos(x))^2	\int\:(5\sec(x)-\cos(x))^{2}dx
integral of cot^3(4x)sec^2(4x)	\int\:\cot^{3}(4x)\sec^{2}(4x)dx
integral of (sqrt(4-x^2))	\int\:(\sqrt{4-x^{2}})dx
limit as x approaches 0-of (e^x)/(x^3)	\lim\:_{x\to\:0-}(\frac{e^{x}}{x^{3}})

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