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Popular Calculus Problems

integral from 3 to 5 of 1/(sqrt(5-x))	\int\:_{3}^{5}\frac{1}{\sqrt{5-x}}dx
taylor (3.49)/(x^{0.432)}	taylor\:\frac{3.49}{x^{0.432}}
derivative of 1/(3(1+x^{2/3)})	\frac{d}{dx}(\frac{1}{3(1+x)^{\frac{2}{3}}})
derivative of f(x)=(e^{3x}-1)^5	derivative\:f(x)=(e^{3x}-1)^{5}
derivative of cy^{-9}	derivative\:cy^{-9}
(\partial)/(\partial x)(-1/r)	\frac{\partial\:}{\partial\:x}(-\frac{1}{r})
integral of (x^2-xy)	\int\:(x^{2}-xy)dx
derivative of-3x^{-4}	derivative\:-3x^{-4}
(\partial)/(\partial y)(x*e^{xy})	\frac{\partial\:}{\partial\:y}(x\cdot\:e^{xy})
derivative of (8z+e^{-z^2})^5	derivative\:(8z+e^{-z^{2}})^{5}
sum from n=4 to infinity of (3^n)/(14^n)	\sum\:_{n=4}^{\infty\:}\frac{3^{n}}{14^{n}}
(\partial)/(\partial x)(x^2e^{xy})	\frac{\partial\:}{\partial\:x}(x^{2}e^{xy})
integral of-3x+2	\int\:-3x+2dx
derivative of 25*1.6^t	derivative\:25\cdot\:1.6^{t}
(\partial)/(\partial x)(y/(2sqrt(1+xy)))	\frac{\partial\:}{\partial\:x}(\frac{y}{2\sqrt{1+xy}})
integral from 1 to 4 of 24t	\int\:_{1}^{4}24tdt
derivative of (3sqrt(x)+2x^2)	\frac{d}{dx}((3\sqrt{x}+2)x^{2})
integral of (sin(x)-3cos(x))	\int\:(\sin(x)-3\cos(x))dx
integral of e^{9x-2}	\int\:e^{9x-2}dx
(\partial)/(\partial x)(e^{-5y}cos(5x))	\frac{\partial\:}{\partial\:x}(e^{-5y}\cos(5x))
derivative of y=(24)/(x^4)	derivative\:y=\frac{24}{x^{4}}
derivative of 3sin^4(x)	\frac{d}{dx}(3\sin^{4}(x))
(d^2x)/(dt^2)+ax=0	\frac{d^{2}x}{dt^{2}}+ax=0
derivative of 1-2x+3x^2-4x^3	\frac{d}{dx}(1-2x+3x^{2}-4x^{3})
integral of e^{0.2x}	\int\:e^{0.2x}dx
y^{''}-9y^'=81t,y(0)=9,y^'(0)=0	y^{\prime\:\prime\:}-9y^{\prime\:}=81t,y(0)=9,y^{\prime\:}(0)=0
integral of (-3)/(7e^{7x)}	\int\:\frac{-3}{7e^{7x}}dx
derivative of 2/(e^x-e^{-x})	\frac{d}{dx}(\frac{2}{e^{x}-e^{-x}})
area y=4x,y=3x^2	area\:y=4x,y=3x^{2}
x(dy)/(dx)-3y=6	x\frac{dy}{dx}-3y=6
integral from-pi/6 to 0 of 8sec^3(x)	\int\:_{-\frac{π}{6}}^{0}8\sec^{3}(x)dx
(\partial)/(\partial x)(ln(k/x))	\frac{\partial\:}{\partial\:x}(\ln(\frac{k}{x}))
derivative of (3x^2-5xe^x)	\frac{d}{dx}((3x^{2}-5x)e^{x})
integral of e^{5x}cos(6x)	\int\:e^{5x}\cos(6x)dx
derivative of (ln(x^2)^{-3})	\frac{d}{dx}((\ln(x^{2}))^{-3})
derivative of (arctan(x)^2)	\frac{d}{dx}((\arctan(x))^{2})
derivative of 2sin(pix+3cos(pi)x)	\frac{d}{dx}(2\sin(π)x+3\cos(π)x)
f(x)= 7/(1-x)	f(x)=\frac{7}{1-x}
limit as x approaches 1.999 of 2x+3	\lim\:_{x\to\:1.999}(2x+3)
(dy)/(dx)=(sqrt(3y+6x+6)-2)	\frac{dy}{dx}=(\sqrt{3y+6x+6}-2)
integral of sin(a+bx)	\int\:\sin(a+bx)dx
derivative of 2xln(3x+x)	\frac{d}{dx}(2x\ln(3x)+x)
(\partial)/(\partial x)(x+2y-22)	\frac{\partial\:}{\partial\:x}(x+2y-22)
limit as x approaches-infinity of ln\|x\|	\lim\:_{x\to\:-\infty\:}(\ln\left\|x\right\|)
(\partial)/(\partial x)(7e^y-4ye^x)	\frac{\partial\:}{\partial\:x}(7e^{y}-4ye^{x})
derivative of sin(9x)	derivative\:\sin(9x)
derivative of e^{mx}m	\frac{d}{dx}(e^{mx}m)
(\partial)/(\partial y)(x+y+z)	\frac{\partial\:}{\partial\:y}(x+y+z)
limit as x approaches-2 of sqrt(x-2)	\lim\:_{x\to\:-2}(\sqrt{x-2})
tangent of sqrt(x),\at x=4	tangent\:\sqrt{x},\at\:x=4
limit as x approaches infinity of x^{5/x}	\lim\:_{x\to\:\infty\:}(x^{\frac{5}{x}})
integral from 0 to pi of sin(x)x^5	\int\:_{0}^{π}\sin(x)x^{5}dx
limit as x approaches-2-of (-4x)/(x+2)	\lim\:_{x\to\:-2-}(\frac{-4x}{x+2})
integral of x(3x-1)^{10}	\int\:x(3x-1)^{10}dx
derivative of f(x)=(6x)/(sqrt(x^2+5))	derivative\:f(x)=\frac{6x}{\sqrt{x^{2}+5}}
integral of sin^3(11x)cos^3(11x)	\int\:\sin^{3}(11x)\cos^{3}(11x)dx
integral of sqrt((9-x^2))	\int\:\sqrt{(9-x^{2})}dx
derivative of f(x)=x+sqrt(x)+5	derivative\:f(x)=x+\sqrt{x}+5
derivative of 6^{-2x}	\frac{d}{dx}(6^{-2x})
integral of ((x^2+2x)cos(x))	\int\:((x^{2}+2x)\cos(x))dx
y^'-y=1+3sin(t)	y^{\prime\:}-y=1+3\sin(t)
derivative of f(x)=4log_{6}(2)	derivative\:f(x)=4\log_{6}(2)
tangent of f(x)= 1/(2sqrt(x)),\at x=65	tangent\:f(x)=\frac{1}{2\sqrt{x}},\at\:x=65
derivative of cos(ln(sqrt(x)))	\frac{d}{dx}(\cos(\ln(\sqrt{x})))
integral from 0 to 1 of (10sqrt(θ))/((1+θ^{3/2))^2}	\int\:_{0}^{1}\frac{10\sqrt{θ}}{(1+θ^{\frac{3}{2}})^{2}}dθ
derivative of x/((x^2-1^2))	\frac{d}{dx}(\frac{x}{(x^{2}-1)^{2}})
derivative of f(x)=(e^x)/(x^6)	derivative\:f(x)=\frac{e^{x}}{x^{6}}
integral of 4t^3sqrt(t^2+1)	\int\:4t^{3}\sqrt{t^{2}+1}dt
y^'=(2y)/x-x^2y^2	y^{\prime\:}=\frac{2y}{x}-x^{2}y^{2}
limit as x approaches infinity of x^{sin(x)}	\lim\:_{x\to\:\infty\:}(x^{\sin(x)})
(\partial)/(\partial x)(ysqrt(x)-y^2-2x+7y)	\frac{\partial\:}{\partial\:x}(y\sqrt{x}-y^{2}-2x+7y)
taylor cos(x)+sin(x)	taylor\:\cos(x)+\sin(x)
(\partial)/(\partial x)(-2ycos(x))	\frac{\partial\:}{\partial\:x}(-2y\cos(x))
derivative of tan(9x)	derivative\:\tan(9x)
integral of e^{2x}sin(2x)	\int\:e^{2x}\sin(2x)dx
derivative of y+yx^7=0	\frac{d}{dx}y+yx^{7}=0
y^'+xy=xy^4	y^{\prime\:}+xy=xy^{4}
limit as x approaches 2 of-f(x)	\lim\:_{x\to\:2}(-f(x))
integral from 0 to 2 of x^5	\int\:_{0}^{2}x^{5}dx
integral of cos^4(2t)	\int\:\cos^{4}(2t)dt
derivative of f(x)=x^4+4x	derivative\:f(x)=x^{4}+4x
integral of (1+tan(x))^2	\int\:(1+\tan(x))^{2}dx
derivative of y^2+sqrt(y)	derivative\:y^{2}+\sqrt{y}
limit as x approaches 3-of (-x)/(x-3)	\lim\:_{x\to\:3-}(\frac{-x}{x-3})
derivative of ln(Ax^4+B)	derivative\:\ln(Ax^{4}+B)
limit as x approaches-3 of \|x-1\|	\lim\:_{x\to\:-3}(\left\|x-1\right\|)
(\partial)/(\partial x)(-7e^{-7y}sin(7x))	\frac{\partial\:}{\partial\:x}(-7e^{-7y}\sin(7x))
area x^2+y^2=64,-8,3	area\:x^{2}+y^{2}=64,-8,3
y^{''}+3y=t^3-1	y^{\prime\:\prime\:}+3y=t^{3}-1
derivative of 5e^x-3x	\frac{d}{dx}(5e^{x}-3x)
derivative of f(x)=(x-9)^2	derivative\:f(x)=(x-9)^{2}
integral of (41arctan(x))/(x^2)	\int\:\frac{41\arctan(x)}{x^{2}}dx
f(x)=sin(ln(x))	f(x)=\sin(\ln(x))
derivative of 1/(sqrt(x+2))	derivative\:\frac{1}{\sqrt{x+2}}
derivative of cos(e^{-5x^2})	\frac{d}{dx}(\cos(e^{-5x^{2}}))
limit as x approaches 0 of (1-5x)^{5/x}	\lim\:_{x\to\:0}((1-5x)^{\frac{5}{x}})
integral of cos(ax)	\int\:\cos(ax)dx
(d^2)/(dx^2)(5xcos(x^2))	\frac{d^{2}}{dx^{2}}(5x\cos(x^{2}))
integral of (3-2x)^5	\int\:(3-2x)^{5}dx
(\partial)/(\partial x)(e^{(x+y)}-1)	\frac{\partial\:}{\partial\:x}(e^{(x+y)}-1)

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