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Popular Calculus Problems

integral of arctan(4x)	\int\:\arctan(4x)dx
integral from 0 to 3 of \|2x-1\|	\int\:_{0}^{3}\left\|2x-1\right\|dx
(\partial)/(\partial x)((63)/((9+x^2+y^2)))	\frac{\partial\:}{\partial\:x}(\frac{63}{(9+x^{2}+y^{2})})
integral of ()/y	\int\:\frac{dy}{y}dx
(e^{cos(x)})^'	(e^{\cos(x)})^{\prime\:}
integral of (3x-8)^{21}	\int\:(3x-8)^{21}dx
sum from n=4 to infinity of (3^n)/(10^n)	\sum\:_{n=4}^{\infty\:}\frac{3^{n}}{10^{n}}
integral of \sqrt[5]{x^2}	\int\:\sqrt[5]{x^{2}}dx
d/(dy)(sin(xy))	\frac{d}{dy}(\sin(xy))
derivative of (x+1(2x+1)(3x+1))	\frac{d}{dx}((x+1)(2x+1)(3x+1))
limit as x approaches 0 of-3	\lim\:_{x\to\:0}(-3)
(\partial)/(\partial x)(y+2/(x^2))	\frac{\partial\:}{\partial\:x}(y+\frac{2}{x^{2}})
tangent of 7x^2+xy+7y^2=15,(1,1)	tangent\:7x^{2}+xy+7y^{2}=15,(1,1)
limit as x approaches 0+of (e^x+x)^{1/x}	\lim\:_{x\to\:0+}((e^{x}+x)^{\frac{1}{x}})
integral of 1/(4+2x)	\int\:\frac{1}{4+2x}dx
tangent of y=(3-2x+4x^3),(-1,1)	tangent\:y=(3-2x+4x^{3}),(-1,1)
derivative of xln(y+sin(3x))	\frac{d}{dx}(x\ln(y)+\sin(3x))
sum from n=1 to infinity of (10/17)^n	\sum\:_{n=1}^{\infty\:}(\frac{10}{17})^{n}
(\partial)/(\partial x)(cos(xy)y)	\frac{\partial\:}{\partial\:x}(\cos(xy)y)
derivative of sin^{cos(x}(x))	\frac{d}{dx}(\sin^{\cos(x)}(x))
integral of xsin(x)+1	\int\:x\sin(x)+1dx
integral from 2 to 4 of (x-2)	\int\:_{2}^{4}(x-2)dx
derivative of cos(6x)	derivative\:\cos(6x)
(\partial)/(\partial z)(zsqrt(x^2+y^2))	\frac{\partial\:}{\partial\:z}(z\sqrt{x^{2}+y^{2}})
(\partial)/(\partial y)(x^2+2xy)	\frac{\partial\:}{\partial\:y}(x^{2}+2xy)
integral of y^4	\int\:y^{4}dy
inverse oflaplace (x^2+3)/2	inverselaplace\:\frac{x^{2}+3}{2}
integral of (sec(t)-1)^2	\int\:(\sec(t)-1)^{2}dt
area y=x^3,[0,4]	area\:y=x^{3},[0,4]
derivative of 6/x	derivative\:\frac{6}{x}
integral of (-9x^2+9x+2)	\int\:(-9x^{2}+9x+2)dx
derivative of y=(x^3+8x^2)^{-1}	derivative\:y=(x^{3}+8x^{2})^{-1}
derivative of f(x)=(2x+5)/(x-1)	derivative\:f(x)=\frac{2x+5}{x-1}
integral of 1/(x^4sqrt(16x^2-9))	\int\:\frac{1}{x^{4}\sqrt{16x^{2}-9}}dx
integral of (5x^2+3x+5)/((x^2+1)^2)	\int\:\frac{5x^{2}+3x+5}{(x^{2}+1)^{2}}dx
integral of e^{7x}sin(x)	\int\:e^{7x}\sin(x)dx
derivative of ln(3x^4)	\frac{d}{dx}(\ln(3x^{4}))
integral of x^3(8^{-x^4})	\int\:x^{3}(8^{-x^{4}})dx
derivative of 2x^3-11.7x^2+17.7x-5	\frac{d}{dx}(2x^{3}-11.7x^{2}+17.7x-5)
integral of (-3x^3)/(sqrt(x^2+9))	\int\:\frac{-3x^{3}}{\sqrt{x^{2}+9}}dx
d/(d{x)}(({x)/y}{{z}})	\frac{d}{d{x}}(\frac{{x}{y}}{{z}})
(\partial)/(\partial x)((x-y)^5)	\frac{\partial\:}{\partial\:x}((x-y)^{5})
tangent of y= 8/(x^2+4),(2,1)	tangent\:y=\frac{8}{x^{2}+4},(2,1)
(dy)/(dx)=(ycos(x))/(1-2y)	\frac{dy}{dx}=\frac{y\cos(x)}{1-2y}
derivative of 12	\frac{d}{dx}(12)
derivative of xln(cos(x))	\frac{d}{dx}(x\ln(\cos(x)))
limit as x approaches infinity of x/x	\lim\:_{x\to\:\infty\:}(\frac{x}{x})
derivative of (2x^2+1)^3(x^2-4)^2	derivative\:(2x^{2}+1)^{3}(x^{2}-4)^{2}
integral of (-16sin(4x))	\int\:(-16\sin(4x))dx
inverse oflaplace (10s+8)/((s^3))	inverselaplace\:\frac{10s+8}{(s^{3})}
integral of (e^{2x})/(sqrt(16-9e^{4x))}	\int\:\frac{e^{2x}}{\sqrt{16-9e^{4x}}}dx
derivative of sqrt(x-16)	\frac{d}{dx}(\sqrt{x-16})
d/(dt)(5t)	\frac{d}{dt}(5t)
integral of cot(x)	\int\:\cot(x)dx
sum from n=0 to infinity}((-4)^{3n of)/(5^{n-1)}	\sum\:_{n=0}^{\infty\:}\frac{(-4)^{3n}}{5^{n-1}}
integral of [ 1/((4+x^2))]	\int\:[\frac{1}{(4+x^{2})}]dx
limit as x approaches-5 of (x+4)/(x+5)	\lim\:_{x\to\:-5}(\frac{x+4}{x+5})
integral from 1 to 3 of (x^2+3)^3x	\int\:_{1}^{3}(x^{2}+3)^{3}xdx
taylor 1/((1-x)),0	taylor\:\frac{1}{(1-x)},0
laplacetransform x	laplacetransform\:x
derivative of y=x^4+5x^2-x	derivative\:y=x^{4}+5x^{2}-x
limit as x approaches 3-of ln\|x^2-9\|	\lim\:_{x\to\:3-}(\ln\left\|x^{2}-9\right\|)
derivative of ln\|ln(10x)\|	derivative\:\ln\left\|\ln(10x)\right\|
integral of 1/(x*ln(x^9))	\int\:\frac{1}{x\cdot\:\ln(x^{9})}dx
derivative of (14x-x^2^3)	\frac{d}{dx}((14x-x^{2})^{3})
tangent of f(x)=8x^2+8x-5,\at x=-1/2	tangent\:f(x)=8x^{2}+8x-5,\at\:x=-\frac{1}{2}
derivative of (4x/(5-tan(x)))	\frac{d}{dx}(\frac{4x}{5-\tan(x)})
derivative of x+4/(x-4)	\frac{d}{dx}(x+\frac{4}{x-4})
tangent of 2x^2-8x-7	tangent\:2x^{2}-8x-7
integral of 5/8 csc^2(x/8)	\int\:\frac{5}{8}\csc^{2}(\frac{x}{8})dx
(dy)/(dx)=2xy^2+72x	\frac{dy}{dx}=2xy^{2}+72x
derivative of 2^x+cos(3x)	\frac{d}{dx}(2^{x}+\cos(3x))
integral of (sin(2x))/(47+cos^2(x))	\int\:\frac{\sin(2x)}{47+\cos^{2}(x)}dx
(3sqrt(x))^'	(3\sqrt{x})^{\prime\:}
(\partial)/(\partial x)(y^2cos(y))	\frac{\partial\:}{\partial\:x}(y^{2}\cos(y))
integral of (5x)/(\sqrt[4]{x+2)}	\int\:\frac{5x}{\sqrt[4]{x+2}}dx
limit as x approaches-2 of x^3+4x^2-5x+1	\lim\:_{x\to\:-2}(x^{3}+4x^{2}-5x+1)
(\partial)/(\partial y)(ye^{3x})	\frac{\partial\:}{\partial\:y}(ye^{3x})
integral of 1/(xsqrt(2x+1))	\int\:\frac{1}{x\sqrt{2x+1}}dx
integral of (10)/(\sqrt[3]{x^2)}	\int\:\frac{10}{\sqrt[3]{x^{2}}}dx
derivative of v/x	\frac{d}{dx}(\frac{v}{x})
derivative of (x^3/(x-1))	\frac{d}{dx}(\frac{x^{3}}{x-1})
inverse oflaplace (s-1)/(s^2+4s+5)	inverselaplace\:\frac{s-1}{s^{2}+4s+5}
(\partial)/(\partial x)(e^xcos(x))	\frac{\partial\:}{\partial\:x}(e^{x}\cos(x))
derivative of f(x)=x^2+5	derivative\:f(x)=x^{2}+5
derivative of cos(2x+pi)	\frac{d}{dx}(\cos(2x+π))
derivative of (9-2x^3)^3	derivative\:(9-2x^{3})^{3}
derivative of x^r	\frac{d}{dx}(x^{r})
simplify 2cos(x^3)-2/x	simplify\:2\cos(x^{3})-\frac{2}{x}
normal of y=4x-1,(1,-4)	normal\:y=4x-1,(1,-4)
(\partial)/(\partial x)(4xsin(xy))	\frac{\partial\:}{\partial\:x}(4x\sin(xy))
(\partial)/(\partial x)(3x^2+xy+y^2-8)	\frac{\partial\:}{\partial\:x}(3x^{2}+xy+y^{2}-8)
derivative of log_{e}(3x)	\frac{d}{dx}(\log_{e}(3x))
(\partial)/(\partial y)(xe^{2xy})	\frac{\partial\:}{\partial\:y}(xe^{2xy})
y^'+8y=1,y(0)=1	y^{\prime\:}+8y=1,y(0)=1
derivative of (x-5/(4x^2e^x))	\frac{d}{dx}(\frac{x-5}{4x^{2}e^{x}})
limit as x approaches 0 of x^4cos(1/x)	\lim\:_{x\to\:0}(x^{4}\cos(\frac{1}{x}))
(e^{-2t})^'	(e^{-2t})^{\prime\:}
integral of (-6x^4+6)/(x^2+1)	\int\:\frac{-6x^{4}+6}{x^{2}+1}dx
integral of 1/(e^{10x)}	\int\:\frac{1}{e^{10x}}dx

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