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Popular Calculus Problems

area y=cos(3x),(0.4,0.6)	area\:y=\cos(3x),(0.4,0.6)
derivative of arctan(\sqrt[3]{x})	\frac{d}{dx}(\arctan(\sqrt[3]{x}))
limit as x approaches-3 of 2x+5	\lim\:_{x\to\:-3}(2x+5)
limit as x approaches 2 of ln(2-x)	\lim\:_{x\to\:2}(\ln(2-x))
taylor 1/(x-1),14	taylor\:\frac{1}{x-1},14
integral of (-6x^2)/(x^4-1)	\int\:\frac{-6x^{2}}{x^{4}-1}dx
derivative of (-4/(x^2))	\frac{d}{dx}(\frac{-4}{x^{2}})
integral of xln^2(x)	\int\:x\ln^{2}(x)dx
integral of x/((x^2+1)^{23/2)}	\int\:\frac{x}{(x^{2}+1)^{\frac{23}{2}}}dx
limit as x approaches 10-of ln(100-x^2)	\lim\:_{x\to\:10-}(\ln(100-x^{2}))
(\partial)/(\partial y)(2y^2)	\frac{\partial\:}{\partial\:y}(2y^{2})
limit as x approaches infinity+of ix	\lim\:_{x\to\:\infty\:+}(ix)
integral from 0 to pi/2 of 1	\int\:_{0}^{\frac{π}{2}}1
derivative of 2/(x+8)	\frac{d}{dx}(\frac{2}{x+8})
(\partial)/(\partial x)(3-x/3-y/2)	\frac{\partial\:}{\partial\:x}(3-\frac{x}{3}-\frac{y}{2})
derivative of f(x)=-(x^2)/2-4x-10	derivative\:f(x)=-\frac{x^{2}}{2}-4x-10
integral of ((50x+6))/((7x+1)(x-1))	\int\:\frac{(50x+6)}{(7x+1)(x-1)}dx
(\partial)/(\partial y)((x-y)/(x+y))	\frac{\partial\:}{\partial\:y}(\frac{x-y}{x+y})
derivative of g(u)=sqrt(u+1)(1-8u^2)^7	derivative\:g(u)=\sqrt{u+1}(1-8u^{2})^{7}
derivative of ln(1+(ln(2)/x))	\frac{d}{dx}(\ln(1+\frac{\ln(2)}{x}))
integral from 0 to 2 of 2x^2-x^3	\int\:_{0}^{2}2x^{2}-x^{3}dx
derivative of 2x^2+4x+3	\frac{d}{dx}(2x^{2}+4x+3)
integral of (x-1)/((x^2+4x+5)^2)	\int\:\frac{x-1}{(x^{2}+4x+5)^{2}}dx
limit as x approaches infinity of (-2)/x	\lim\:_{x\to\:\infty\:}(\frac{-2}{x})
integral of 1/(xsqrt(81-x^2))	\int\:\frac{1}{x\sqrt{81-x^{2}}}dx
integral of 4sin^2(5x+3)+10x^{2/3}-1	\int\:4\sin^{2}(5x+3)+10x^{\frac{2}{3}}-1dx
derivative of (x+1/(3x+2))	\frac{d}{dx}(\frac{x+1}{3x+2})
expand 6x(x^2-5)^2	expand\:6x(x^{2}-5)^{2}
derivative of (9x/(x+4))	\frac{d}{dx}(\frac{9x}{x+4})
(dy)/(dx)=4y^2	\frac{dy}{dx}=4y^{2}
inverse oflaplace (s+3)/((s+2)(s+1))	inverselaplace\:\frac{s+3}{(s+2)(s+1)}
integral of-2/(x^{1/2)}	\int\:-\frac{2}{x^{\frac{1}{2}}}dx
(\partial)/(\partial x)(cos(x-y)-xe^y)	\frac{\partial\:}{\partial\:x}(\cos(x-y)-xe^{y})
slope of f(x)=3x-x^2	slope\:f(x)=3x-x^{2}
limit as x approaches 1 of 1/(sqrt(x-2))	\lim\:_{x\to\:1}(\frac{1}{\sqrt{x-2}})
derivative of f(x)=9(5^x)	derivative\:f(x)=9(5^{x})
derivative of f(x)=cx^{-6}	derivative\:f(x)=cx^{-6}
inverse oflaplace 4/(s^2)	inverselaplace\:\frac{4}{s^{2}}
derivative of ln(e^{ax+b})	\frac{d}{dx}(\ln(e^{ax+b}))
integral of 8/(x^7)-6/(x^4)+3x	\int\:\frac{8}{x^{7}}-\frac{6}{x^{4}}+3xdx
derivative of y=0.4x^{1.2}	derivative\:y=0.4x^{1.2}
tangent of y=sqrt(x)(x-8),(16,32)	tangent\:y=\sqrt{x}(x-8),(16,32)
integral from 0 to 1 of sqrt(x^2-2x+1)	\int\:_{0}^{1}\sqrt{x^{2}-2x+1}dx
tangent of f(x)=sqrt(3x+1),(5,4)	tangent\:f(x)=\sqrt{3x+1},(5,4)
derivative of (x^2+1/(x-1))	\frac{d}{dx}(\frac{x^{2}+1}{x-1})
t^2y^{''}+2ty^'-6y=0	t^{2}y^{\prime\:\prime\:}+2ty^{\prime\:}-6y=0
integral of 1/(3+t)	\int\:\frac{1}{3+t}dt
y^'=3yx^2-3x^2	y^{\prime\:}=3yx^{2}-3x^{2}
limit as x approaches-3 of 2/(x^2)	\lim\:_{x\to\:-3}(\frac{2}{x^{2}})
integral of-64(1+4t)^{-3}	\int\:-64(1+4t)^{-3}dt
maclaurin e^x-e^{-x}	maclaurin\:e^{x}-e^{-x}
derivative of-2sin(2x)	derivative\:-2\sin(2x)
(dy)/(dx)=y(x^2+4)	\frac{dy}{dx}=y(x^{2}+4)
integral from 2 to 3 of (5x^{-1})	\int\:_{2}^{3}(5x^{-1})dx
xy^'+y=4xy^2	xy^{\prime\:}+y=4xy^{2}
derivative of x/(x^{-1+13})	\frac{d}{dx}(\frac{x}{x^{-1}+13})
derivative of 2^{50}	derivative\:2^{50}
(d^2)/(dx^2)(1/(x^2))	\frac{d^{2}}{dx^{2}}(\frac{1}{x^{2}})
integral of 3x^2(x^3+1)^{10}	\int\:3x^{2}(x^{3}+1)^{10}dx
limit as x approaches 4 of 9-x-5	\lim\:_{x\to\:4}(9-x-5)
(\partial)/(\partial x)(sqrt(1+x^2))	\frac{\partial\:}{\partial\:x}(\sqrt{1+x^{2}})
limit as x approaches 2pi of ln(cos(x))	\lim\:_{x\to\:2π}(\ln(\cos(x)))
derivative of 4xsin(x)	derivative\:4x\sin(x)
integral of 1/(sec(2x))	\int\:\frac{1}{\sec(2x)}dx
limit as x approaches 11+of sqrt(x-11)	\lim\:_{x\to\:11+}(\sqrt{x-11})
(dy)/(dx)=sin(2x)-1/2 sin(4x)	\frac{dy}{dx}=\sin(2x)-\frac{1}{2}\sin(4x)
tangent of f(x)=x(1-2x)^3,(1,-1)	tangent\:f(x)=x(1-2x)^{3},(1,-1)
(\partial)/(\partial w)(1/(2sqrt(v-w)))	\frac{\partial\:}{\partial\:w}(\frac{1}{2\sqrt{v-w}})
integral of cosh^3(x)	\int\:\cosh^{3}(x)dx
integral from-7 to 7 of sqrt(49-x^2)	\int\:_{-7}^{7}\sqrt{49-x^{2}}dx
(\partial)/(\partial x)(x^3sec^2(xy))	\frac{\partial\:}{\partial\:x}(x^{3}\sec^{2}(xy))
(\partial)/(\partial x)(13x+6xy^3)	\frac{\partial\:}{\partial\:x}(13x+6xy^{3})
(y^{11}x)(dy)/(dx)=1+x	(y^{11}x)\frac{dy}{dx}=1+x
d/(dt)(6sin(2t))	\frac{d}{dt}(6\sin(2t))
integral from-infinity to-1 of e^{-10t}	\int\:_{-\infty\:}^{-1}e^{-10t}dt
integral from 1 to infinity of x^{-7/4}	\int\:_{1}^{\infty\:}x^{-\frac{7}{4}}dx
derivative of-(3x^2/(2y))	\frac{d}{dx}(-\frac{3x^{2}}{2y})
maclaurin 1/(x^2+x+1)	maclaurin\:\frac{1}{x^{2}+x+1}
limit as x approaches 3 of 5x^3-3x^2+x-6	\lim\:_{x\to\:3}(5x^{3}-3x^{2}+x-6)
integral of e^{rt}	\int\:e^{rt}dt
integral of 2xe^{x^2+y^2}	\int\:2xe^{x^{2}+y^{2}}dx
limit as x approaches 2+of 1/(x-2)-1/(sqrt(x-2))	\lim\:_{x\to\:2+}(\frac{1}{x-2}-\frac{1}{\sqrt{x-2}})
integral of 1/(u(1-u))	\int\:\frac{1}{u(1-u)}du
area x^3+1,-x+1,y=0	area\:x^{3}+1,-x+1,y=0
limit as x approaches 1 of (x^2-x)/x	\lim\:_{x\to\:1}(\frac{x^{2}-x}{x})
integral of (-3sec^2(x))	\int\:(-3\sec^{2}(x))dx
(\partial)/(\partial y)(xsqrt(1+y^2))	\frac{\partial\:}{\partial\:y}(x\sqrt{1+y^{2}})
(\partial)/(\partial y)(sin(x)cos(7y))	\frac{\partial\:}{\partial\:y}(\sin(x)\cos(7y))
(\partial}{\partial u}(\frac{u-v)/2)	\frac{\partial\:}{\partial\:u}(\frac{u-v}{2})
(\partial)/(\partial x)(5x+y)	\frac{\partial\:}{\partial\:x}(5x+y)
integral of (7x^2)/(sqrt(1-x^6))	\int\:\frac{7x^{2}}{\sqrt{1-x^{6}}}dx
d/(d{y)}({y}{z})	\frac{d}{d{y}}({y}{z})
limit as x approaches 2 of-x^2+3	\lim\:_{x\to\:2}(-x^{2}+3)
derivative of 2+((-1^x)/x)	\frac{d}{dx}(2+\frac{(-1)^{x}}{x})
integral of 1/((x-4)ln(x-4))	\int\:\frac{1}{(x-4)\ln(x-4)}dx
y^{''}+2y^'-8y=0	y^{\prime\:\prime\:}+2y^{\prime\:}-8y=0
integral of (cos(x))/(6+sin(x))	\int\:\frac{\cos(x)}{6+\sin(x)}dx
inverse oflaplace 6/(s(s+4))	inverselaplace\:\frac{6}{s(s+4)}
derivative of ax^2+bx+c	\frac{d}{dx}(ax^{2}+bx+c)
(x^2+1)(dy)/(dx)+2xy=4x^2	(x^{2}+1)\frac{dy}{dx}+2xy=4x^{2}

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