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Popular Calculus Problems

implicit (dy)/(dx),xe^y-10x+3y=0	implicit\:\frac{dy}{dx},xe^{y}-10x+3y=0
derivative of (sin(3x))^{ln(x)}	derivative\:(\sin(3x))^{\ln(x)}
(\partial)/(\partial x)(2x+y^2)	\frac{\partial\:}{\partial\:x}(2x+y^{2})
derivative of arcsinh(tan(x))	\frac{d}{dx}(\arcsinh(\tan(x)))
derivative of 8+3x^2	\frac{d}{dx}(8+3x^{2})
integral of ln(9x+4)	\int\:\ln(9x+4)dx
derivative of (1-2x/(4+x))	\frac{d}{dx}(\frac{1-2x}{4+x})
sum from n=0 to infinity of 4(2/3)^{2n}	\sum\:_{n=0}^{\infty\:}4(\frac{2}{3})^{2n}
integral of x^{-7/4}	\int\:x^{-\frac{7}{4}}dx
derivative of f(x)= x/(2(x^2+7)^{3/4)}	derivative\:f(x)=\frac{x}{2(x^{2}+7)^{\frac{3}{4}}}
derivative of sin(5x+2)	\frac{d}{dx}(\sin(5x+2))
derivative of f(x)=(x+1)/x	derivative\:f(x)=\frac{x+1}{x}
derivative of 1/(1+cos(x))	\frac{d}{dx}(\frac{1}{1+\cos(x)})
derivative of \sqrt[n]{a}	derivative\:\sqrt[n]{a}
derivative of f(x)=e^9	derivative\:f(x)=e^{9}
limit as w approaches a of (a^2-w^2)/(a-w)	\lim\:_{w\to\:a}(\frac{a^{2}-w^{2}}{a-w})
integral of e^{1-5x}	\int\:e^{1-5x}dx
laplacetransform e^{-2.5s}	laplacetransform\:e^{-2.5s}
integral from 0 to 2 of (x^3-4x)	\int\:_{0}^{2}(x^{3}-4x)dx
inverse oflaplace 1/s	inverselaplace\:\frac{1}{s}
integral of (ln(9x))^2	\int\:(\ln(9x))^{2}dx
integral of sqrt(4x^2+1)x	\int\:\sqrt{4x^{2}+1}xdx
derivative of x^3-x	derivative\:x^{3}-x
integral of pi^x	\int\:π^{x}dx
tangent of (9-t)^{1/2}	tangent\:(9-t)^{\frac{1}{2}}
integral from 0 to 1 of (e^x-xe^x)	\int\:_{0}^{1}(e^{x}-xe^{x})dx
derivative of f(x)=(ln(x))/(13+x)	derivative\:f(x)=\frac{\ln(x)}{13+x}
integral from 1 to 12 of 2x	\int\:_{1}^{12}2xdx
integral of (9e^{2t})/(1+e^{4t)}	\int\:\frac{9e^{2t}}{1+e^{4t}}dt
derivative of f(x)= 1/2 x^2+7x	derivative\:f(x)=\frac{1}{2}x^{2}+7x
integral of cotan(x)	\int\:co\tan(x)dx
limit as x approaches pi/3 of xcos(x)	\lim\:_{x\to\:\frac{π}{3}}(x\cos(x))
y^'+2y=e^{2x}	y^{\prime\:}+2y=e^{2x}
limit as x approaches 0+of log_{3}(x)	\lim\:_{x\to\:0+}(\log_{3}(x))
integral of (10x^4-2sec^2(x))	\int\:(10x^{4}-2\sec^{2}(x))dx
maclaurin (1+x)^{-2}	maclaurin\:(1+x)^{-2}
limit as n approaches infinity of (2n^5-3n^4+8)/(3n^5+1)	\lim\:_{n\to\:\infty\:}(\frac{2n^{5}-3n^{4}+8}{3n^{5}+1})
f(x)=3x-4	f(x)=3x-4
integral from 1 to 2 of 6e^{6x}	\int\:_{1}^{2}6e^{6x}dx
derivative of (2x)^{6x}	derivative\:(2x)^{6x}
integral of 12cot^4(x)	\int\:12\cot^{4}(x)dx
integral of (ln(x))^6	\int\:(\ln(x))^{6}dx
derivative of (x^2+3sqrt(4-x^2))	\frac{d}{dx}((x^{2}+3)\sqrt{4-x^{2}})
(cos^3(t))^'	(\cos^{3}(t))^{\prime\:}
derivative of sin(1000x)	\frac{d}{dx}(\sin(1000x))
integral of 3/(2x^2+x-10)	\int\:\frac{3}{2x^{2}+x-10}dx
integral of x(x^2+1)^6	\int\:x(x^{2}+1)^{6}dx
(\partial)/(\partial x)((86)/(2+x^2+y^2))	\frac{\partial\:}{\partial\:x}(\frac{86}{2+x^{2}+y^{2}})
derivative of (2x-2^4(x^2+x+1)^5)	\frac{d}{dx}((2x-2)^{4}(x^{2}+x+1)^{5})
integral of sin(2x)cos(4x)	\int\:\sin(2x)\cos(4x)dx
integral from 1 to 3 of 4xe^x	\int\:_{1}^{3}4xe^{x}dx
limit as x approaches 1 of pi	\lim\:_{x\to\:1}(π)
maclaurin sin(pix)	maclaurin\:\sin(πx)
limit as t approaches 0 of 7/(1+t)	\lim\:_{t\to\:0}(\frac{7}{1+t})
(\partial)/(\partial y)(arctan(x+8y))	\frac{\partial\:}{\partial\:y}(\arctan(x+8y))
derivative of (1-3x/(4+x))	\frac{d}{dx}(\frac{1-3x}{4+x})
derivative of y=9x^2e^x	derivative\:y=9x^{2}e^{x}
sum from n=1 to infinity of (-5)^{-n}	\sum\:_{n=1}^{\infty\:}(-5)^{-n}
derivative of sin^2(x+2^{sin(x)})	\frac{d}{dx}(\sin^{2}(x)+2^{\sin(x)})
sum from n=1 to infinity of n/(n^2+1)	\sum\:_{n=1}^{\infty\:}\frac{n}{n^{2}+1}
derivative of x^{1/3}y^{2/3}	\frac{d}{dx}(x^{\frac{1}{3}}y^{\frac{2}{3}})
derivative of 1/2 x^2-x+1/6 x^3	\frac{d}{dx}(\frac{1}{2}x^{2}-x+\frac{1}{6}x^{3})
integral of x^2*sqrt(x)	\int\:x^{2}\cdot\:\sqrt{x}dx
integral of x/((x+1)(x+2)(x+3)^2)	\int\:\frac{x}{(x+1)(x+2)(x+3)^{2}}dx
y^'+2y=e^t	y^{\prime\:}+2y=e^{t}
derivative of f(x)=-6x^2-3x-5x^3	derivative\:f(x)=-6x^{2}-3x-5x^{3}
integral of (3-x)7^{(3-x)^2}	\int\:(3-x)7^{(3-x)^{2}}dx
derivative of f(x)=4e^x+4/(\sqrt[3]{x)}	derivative\:f(x)=4e^{x}+\frac{4}{\sqrt[3]{x}}
y^'=(7x^4e^{y/x}+x^2y^2)/(x^3y)	y^{\prime\:}=\frac{7x^{4}e^{\frac{y}{x}}+x^{2}y^{2}}{x^{3}y}
derivative of 3/2 tan(x)	\frac{d}{dx}(\frac{3}{2}\tan(x))
integral of y/(y^2+9)	\int\:\frac{y}{y^{2}+9}dy
laplacetransform e^7	laplacetransform\:e^{7}
integral of (24x)/(4sqrt(4x^2+8))	\int\:\frac{24x}{4\sqrt{4x^{2}+8}}dx
integral of 10cos(sqrt(x))	\int\:10\cos(\sqrt{x})dx
(d^2)/(dx^2)((x^2+8)^8)	\frac{d^{2}}{dx^{2}}((x^{2}+8)^{8})
derivative of (x-1ln\|x-1\|)	\frac{d}{dx}((x-1)\ln\left\|x-1\right\|)
(\partial)/(\partial x)(330.28cos(23x))	\frac{\partial\:}{\partial\:x}(330.28\cos(23x))
integral of arctan(sqrt(x))	\int\:\arctan(\sqrt{x})dx
integral of sec^4(2x)tan(2x)	\int\:\sec^{4}(2x)\tan(2x)dx
derivative of e^{-x/2}	derivative\:e^{-\frac{x}{2}}
integral of 6y^{-4}	\int\:6y^{-4}dy
area 5x-x^2,(4,4)	area\:5x-x^{2},(4,4)
integral of sqrt(5-2x)	\int\:\sqrt{5-2x}dx
limit as t approaches 0 of cos(t)	\lim\:_{t\to\:0}(\cos(t))
integral of-cos(x)+sin(x)+1	\int\:-\cos(x)+\sin(x)+1dx
sum from n=2 to infinity of 5(-1/3)^n	\sum\:_{n=2}^{\infty\:}5(-\frac{1}{3})^{n}
integral of (5x^2)/2	\int\:\frac{5x^{2}}{2}dx
derivative of y=(3ln(4x))/(5-2x)	derivative\:y=\frac{3\ln(4x)}{5-2x}
tangent of f(x)=-3x^3-2x,(-1,5)	tangent\:f(x)=-3x^{3}-2x,(-1,5)
x^2y^'+y=0	x^{2}y^{\prime\:}+y=0
derivative of nlog_{10}(n)	derivative\:n\log_{10}(n)
integral of 1/((x-1)^{2/3)}	\int\:\frac{1}{(x-1)^{\frac{2}{3}}}dx
integral of 9x^2sin(8x)	\int\:9x^{2}\sin(8x)dx
(\partial)/(\partial y)(sqrt(tan(x)+y))	\frac{\partial\:}{\partial\:y}(\sqrt{\tan(x)+y})
derivative of 3+3sin(x)	\frac{d}{dx}(3+3\sin(x))
limit as x approaches 5 of xsqrt(34-x^2)	\lim\:_{x\to\:5}(x\sqrt{34-x^{2}})
derivative of x^{cos(4x)}	derivative\:x^{\cos(4x)}
integral of 4z	\int\:4zdz
integral of (5x^2+x+6)/(x^3-1)	\int\:\frac{5x^{2}+x+6}{x^{3}-1}dx
(\partial)/(\partial y)(x^{9y})	\frac{\partial\:}{\partial\:y}(x^{9y})

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