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Popular Calculus Problems

derivative of f(x)=4x^2+5x+3	derivative\:f(x)=4x^{2}+5x+3
integral of (x^3+3x)^{32}(3x^2+3)	\int\:(x^{3}+3x)^{32}(3x^{2}+3)dx
limit as x approaches infinity of 1+1/x	\lim\:_{x\to\:\infty\:}(1+\frac{1}{x})
derivative of xsqrt(x^2+5)	derivative\:x\sqrt{x^{2}+5}
sum from n=2 to infinity of 1/n	\sum\:_{n=2}^{\infty\:}\frac{1}{n}
derivative of x^{-1/5}	\frac{d}{dx}(x^{-\frac{1}{5}})
integral of x/(x^4sqrt(x^4-x^2))	\int\:\frac{x}{x^{4}\sqrt{x^{4}-x^{2}}}dx
derivative of x^{0.9}	\frac{d}{dx}(x^{0.9})
derivative of f(x)=(x+1)(x+1-1/(x+2))	derivative\:f(x)=(x+1)(x+1-\frac{1}{x+2})
inverse oflaplace (s-1)/(s(s+2.5))	inverselaplace\:\frac{s-1}{s(s+2.5)}
(\partial)/(\partial x)(3xze^{4xy})	\frac{\partial\:}{\partial\:x}(3xze^{4xy})
limit as x approaches-3 of 3x^2-4x+1	\lim\:_{x\to\:-3}(3x^{2}-4x+1)
(x+1)((dy)/(dx))+(2x-1)y=e^{-2x}	(x+1)(\frac{dy}{dx})+(2x-1)y=e^{-2x}
limit as x approaches-1 of (x+2x^3)^5	\lim\:_{x\to\:-1}((x+2x^{3})^{5})
tangent of f(x)= 1/2-x^2,\at x=-1/2	tangent\:f(x)=\frac{1}{2}-x^{2},\at\:x=-\frac{1}{2}
limit as x approaches+(-5) of 3x-\|x+5\|	\lim\:_{x\to\:+(-5)}(3x-\left\|x+5\right\|)
sqrt(1-3x^2)y^'=x	\sqrt{1-3x^{2}}y^{\prime\:}=x
(\partial)/(\partial y)(e^{x^2-y^2+4y})	\frac{\partial\:}{\partial\:y}(e^{x^{2}-y^{2}+4y})
limit as x approaches 1 of (x^3-x)/(1-x)	\lim\:_{x\to\:1}(\frac{x^{3}-x}{1-x})
d/(d{x)}(({x}^2+2{y}^2+3{z}^2)e^{-({x}^2+{y}^2+{z}^2)})	\frac{d}{d{x}}(({x}^{2}+2{y}^{2}+3{z}^{2})e^{-({x}^{2}+{y}^{2}+{z}^{2})})
derivative of 6cos(sin(x^2))	derivative\:6\cos(\sin(x^{2}))
derivative of ln(1+0)	\frac{d}{dx}(\ln(1+0))
integral of x/(sqrt(4-x))	\int\:\frac{x}{\sqrt{4-x}}dx
derivative of x/(sqrt(x^2-4))	\frac{d}{dx}(\frac{x}{\sqrt{x^{2}-4}})
(pi)^'	(π)^{\prime\:}
limit as x approaches 0 of 1/x+1	\lim\:_{x\to\:0}(\frac{1}{x}+1)
integral of x/(1-x^8)	\int\:\frac{x}{1-x^{8}}dx
derivative of f(x)=cos(x^2)2x	derivative\:f(x)=\cos(x^{2})2x
integral of 8x^{-1}	\int\:8x^{-1}dx
integral of 1/(sqrt(x^2+8))	\int\:\frac{1}{\sqrt{x^{2}+8}}dx
tangent of f(x)=-2x^3	tangent\:f(x)=-2x^{3}
inverse oflaplace (s-1)/(2s^2+s+6)	inverselaplace\:\frac{s-1}{2s^{2}+s+6}
integral from 2 to 4 of (2x^2-3x+1)	\int\:_{2}^{4}(2x^{2}-3x+1)dx
limit as x approaches-2 of 3/(x+2)	\lim\:_{x\to\:-2}(\frac{3}{x+2})
integral of sqrt(1-u^2)	\int\:\sqrt{1-u^{2}}du
y^{''}-8y^'+16y=0,y(0)=4,y^'(0)= 82/5	y^{\prime\:\prime\:}-8y^{\prime\:}+16y=0,y(0)=4,y^{\prime\:}(0)=\frac{82}{5}
integral of sqrt(1-81x^2)	\int\:\sqrt{1-81x^{2}}dx
integral of 7cos^2(x)	\int\:7\cos^{2}(x)dx
e^xy(dy)/(dx)=e^{-y}e^{-2x-y}	e^{x}y\frac{dy}{dx}=e^{-y}e^{-2x-y}
integral of (x^2)/(x+3)	\int\:\frac{x^{2}}{x+3}dx
derivative of sinh(x)	\frac{d}{dx}(\sinh(x))
integral of 3x^2+8x+4	\int\:3x^{2}+8x+4dx
integral of e^{x^5}x^4	\int\:e^{x^{5}}x^{4}dx
derivative of (x-5/(x^2-3x+15))	\frac{d}{dx}(\frac{x-5}{x^{2}-3x+15})
limit as x approaches 2 of (e^x)/(x^3)	\lim\:_{x\to\:2}(\frac{e^{x}}{x^{3}})
sum from n=0 to infinity of \| 1/4 \|^2	\sum\:_{n=0}^{\infty\:}\left\|\frac{1}{4}\right\|^{2}
integral of-x/(1+x^4)	\int\:-\frac{x}{1+x^{4}}dx
y^'= 3/(3y)	y^{\prime\:}=\frac{3}{3y}
integral of x^3ln(x^2+1)	\int\:x^{3}\ln(x^{2}+1)dx
integral of 8/(t^9)sin(1/(t^8)-9)	\int\:\frac{8}{t^{9}}\sin(\frac{1}{t^{8}}-9)dt
y^'+tan(x)y=cos^2(x)	y^{\prime\:}+\tan(x)y=\cos^{2}(x)
(\partial)/(\partial x)(tan(2x-y))	\frac{\partial\:}{\partial\:x}(\tan(2x-y))
(\partial)/(\partial x)((x^2-2)e^{x^2y})	\frac{\partial\:}{\partial\:x}((x^{2}-2)e^{x^{2}y})
integral of (30)/(30+e^x)	\int\:\frac{30}{30+e^{x}}dx
derivative of y=4(6-x^2)^5	derivative\:y=4(6-x^{2})^{5}
integral of 4m(9m^2-10m)	\int\:4m(9m^{2}-10m)dm
derivative of ln(15x)	derivative\:\ln(15x)
derivative of f(x)=x^{12}	derivative\:f(x)=x^{12}
limit as x approaches-3 of (3x+1)/(x-3)	\lim\:_{x\to\:-3}(\frac{3x+1}{x-3})
(\partial)/(\partial x)((x^5+y^3)^7)	\frac{\partial\:}{\partial\:x}((x^{5}+y^{3})^{7})
integral of z/((s^2+z^2)^{3/2)}	\int\:\frac{z}{(s^{2}+z^{2})^{\frac{3}{2}}}dz
derivative of m(x)=(-x^2+6x-8)/(-x^2+6x-2)	derivative\:m(x)=\frac{-x^{2}+6x-8}{-x^{2}+6x-2}
tangent of y=-5-6x^2,(-4,-101)	tangent\:y=-5-6x^{2},(-4,-101)
derivative of p(t)=5e^{0.0278t}	derivative\:p(t)=5e^{0.0278t}
derivative of 1/2 x^2+1	\frac{d}{dx}(\frac{1}{2}x^{2}+1)
derivative of 5xe^{5x}	\frac{d}{dx}(5xe^{5x})
limit as x approaches-3 of x/(x-4)	\lim\:_{x\to\:-3}(\frac{x}{x-4})
integral of 2e^x-1	\int\:2e^{x}-1dx
integral of sqrt(4x+1)	\int\:\sqrt{4x+1}dx
limit as x approaches 0 of (6x^2)/(2x^2)	\lim\:_{x\to\:0}(\frac{6x^{2}}{2x^{2}})
integral of \sqrt[3]{2x^2}	\int\:\sqrt[3]{2x^{2}}dx
(dy)/(dx)= 1/2 (kx^{-1}-x)	\frac{dy}{dx}=\frac{1}{2}(kx^{-1}-x)
limit as x approaches-4 of-(2x^2-17)/3	\lim\:_{x\to\:-4}(-\frac{2x^{2}-17}{3})
integral of 5y^2	\int\:5y^{2}dy
(\partial)/(\partial x)(2cos(x)cos(y))	\frac{\partial\:}{\partial\:x}(2\cos(x)\cos(y))
limit as h approaches 0 of (13h)/h	\lim\:_{h\to\:0}(\frac{13h}{h})
limit as x approaches 2 of 2x^2-7x-15	\lim\:_{x\to\:2}(2x^{2}-7x-15)
(\partial)/(\partial x)(cos(pixy))	\frac{\partial\:}{\partial\:x}(\cos(πxy))
integral of 4e^{-2x}sin(2x)	\int\:4e^{-2x}\sin(2x)dx
limit as x approaches 1 of x(3)	\lim\:_{x\to\:1}(x(3))
area 4x-20,[4,8]	area\:4x-20,[4,8]
integral of 8sin^3(xco)s^5x	\int\:8\sin^{3}(xco)s^{5}xdx
sum from n=1 to infinity of e/n	\sum\:_{n=1}^{\infty\:}\frac{e}{n}
inverse oflaplace (s-1)/(s^2+2)	inverselaplace\:\frac{s-1}{s^{2}+2}
derivative of f(x)=cos(3x+2)-7x	derivative\:f(x)=\cos(3x+2)-7x
derivative of (xsec^2(x)-tan(x))/(4x^2)	derivative\:\frac{x\sec^{2}(x)-\tan(x)}{4x^{2}}
(dy)/(dx)=3x^2+2x-7	\frac{dy}{dx}=3x^{2}+2x-7
(\partial}{\partial x}(\frac{x^2y^2)/2)	\frac{\partial\:}{\partial\:x}(\frac{x^{2}y^{2}}{2})
sum from n=1 to infinity of n^{-sin(2)}	\sum\:_{n=1}^{\infty\:}n^{-\sin(2)}
(cos^2(θ))^'	(\cos^{2}(θ))^{\prime\:}
taylor 1/(sqrt(1-x))	taylor\:\frac{1}{\sqrt{1-x}}
derivative of (8x/(3-tan(x)))	\frac{d}{dx}(\frac{8x}{3-\tan(x)})
derivative of f(x)=7x+2	derivative\:f(x)=7x+2
(dy)/(dx)=((x-3))/(2-y)	\frac{dy}{dx}=\frac{(x-3)}{2-y}
derivative of-x^2	\frac{d}{dx}(-x^{2})
derivative of sec^2(xtan(x))	\frac{d}{dx}(\sec^{2}(x)\tan(x))
(\partial)/(\partial x)(ln(x+7y+2z))	\frac{\partial\:}{\partial\:x}(\ln(x+7y+2z))
integral from 6 to 8 of (72)/((x-6)^3)	\int\:_{6}^{8}\frac{72}{(x-6)^{3}}dx
limit as x approaches 3 of sqrt(f(x))	\lim\:_{x\to\:3}(\sqrt{f(x)})
(dy)/(dx)=(x^2y^2)/(1+2)	\frac{dy}{dx}=\frac{x^{2}y^{2}}{1+2}

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