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Popular Calculus Problems

integral of 8/(x-1)	\int\:\frac{8}{x-1}dx
integral of (10)/(x+1)	\int\:\frac{10}{x+1}dx
(\partial)/(\partial x)((5x-y)/(y^2+3x^2))	\frac{\partial\:}{\partial\:x}(\frac{5x-y}{y^{2}+3x^{2}})
area y=(x^3+1)^{-1},x=0,x=1	area\:y=(x^{3}+1)^{-1},x=0,x=1
integral of x^2+4x+4	\int\:x^{2}+4x+4dx
integral from 0 to 4 of-x+1	\int\:_{0}^{4}-x+1dx
limit as x approaches infinity of (sqrt(x))/(6+e^x)	\lim\:_{x\to\:\infty\:}(\frac{\sqrt{x}}{6+e^{x}})
integral of ((4-t+t^2)/(t^2))	\int\:(\frac{4-t+t^{2}}{t^{2}})dt
derivative of ln(sqrt(x^2+20))	\frac{d}{dx}(\ln(\sqrt{x^{2}+20}))
(\partial)/(\partial x)((2y)/(x^2+1))	\frac{\partial\:}{\partial\:x}(\frac{2y}{x^{2}+1})
limit as x approaches 3 of (x-2)/(x+2)	\lim\:_{x\to\:3}(\frac{x-2}{x+2})
limit as x approaches 1800 of 28pi^2	\lim\:_{x\to\:1800}(28π^{2})
derivative of (x^2-8x+5)/(x^2+8)	derivative\:\frac{x^{2}-8x+5}{x^{2}+8}
integral of 1/(4xsqrt(x^2-16))	\int\:\frac{1}{4x\sqrt{x^{2}-16}}dx
derivative of 1-cos(5x)	\frac{d}{dx}(1-\cos(5x))
limit as x approaches 1 of (x+3)/(x+1)	\lim\:_{x\to\:1}(\frac{x+3}{x+1})
laplacetransform-6t^2\delta(t-5)	laplacetransform\:-6t^{2}\delta(t-5)
derivative of 5-5x^3	derivative\:5-5x^{3}
derivative of (2x/(7-cot(x)))	\frac{d}{dx}(\frac{2x}{7-\cot(x)})
laplacetransform 1(t)	laplacetransform\:1(t)
integral of 26arctan(sqrt(x))	\int\:26\arctan(\sqrt{x})dx
integral of e^{x^2-4}+5x+6	\int\:e^{x^{2}-4}+5x+6dx
derivative of y=(sqrt(x))/(2+x)	derivative\:y=\frac{\sqrt{x}}{2+x}
limit as x approaches-2-of sqrt(-x-2)+4	\lim\:_{x\to\:-2-}(\sqrt{-x-2}+4)
limit as t approaches 2 of [e^{-3t}i]	\lim\:_{t\to\:2}([e^{-3t}i])
integral from-5 to-7 of (-5)^{-3}	\int\:_{-5}^{-7}(-5)^{-3}dx
derivative of 2/5 x^5-3x^2+8x-5	\frac{d}{dx}(\frac{2}{5}x^{5}-3x^{2}+8x-5)
derivative of y=csc^2(x)-2	derivative\:y=\csc^{2}(x)-2
5y^{''}+y^'=0	5y^{\prime\:\prime\:}+y^{\prime\:}=0
y^'=sin(3x)	y^{\prime\:}=\sin(3x)
derivative of ln(cos(0))	\frac{d}{dx}(\ln(\cos(0)))
integral of (4x+6)/(x^2+4)	\int\:\frac{4x+6}{x^{2}+4}dx
integral of 2/(3y-4)	\int\:\frac{2}{3y-4}dy
integral from-2 to 3 of \sqrt[3]{x}	\int\:_{-2}^{3}\sqrt[3]{x}dx
integral of x^3sqrt(x^2-2)	\int\:x^{3}\sqrt{x^{2}-2}dx
y^'+1/2 y=x	y^{\prime\:}+\frac{1}{2}y=x
integral from 0 to 1 of sqrt(4x^2+1)	\int\:_{0}^{1}\sqrt{4x^{2}+1}dx
integral of 6/(3sin(x)-4cos(x))	\int\:\frac{6}{3\sin(x)-4\cos(x)}dx
integral of 2/(x^2)-(x^2)/2	\int\:\frac{2}{x^{2}}-\frac{x^{2}}{2}dx
sum from n=1 to infinity of ne^{-7n}	\sum\:_{n=1}^{\infty\:}ne^{-7n}
derivative of arctan^{tan(x}(x))	\frac{d}{dx}(\arctan^{\tan(x)}(x))
integral of (sqrt(x))/(sqrt(1+x^3))	\int\:\frac{\sqrt{x}}{\sqrt{1+x^{3}}}dx
derivative of-8x-cos(x)	\frac{d}{dx}(-8x-\cos(x))
sum from n=7 to infinity of e^5-2n	\sum\:_{n=7}^{\infty\:}e^{5}-2n
derivative of x^3sqrt(x-4)	\frac{d}{dx}(x^{3}\sqrt{x-4})
integral of cot(z)	\int\:\cot(z)dz
derivative of pi/4 e^{4x+15}	derivative\:\frac{π}{4}e^{4x+15}
limit as x approaches 0 of 4/((5+x)^2-2)	\lim\:_{x\to\:0}(\frac{4}{(5+x)^{2}-2})
derivative of y=ln(x^{14})	derivative\:y=\ln(x^{14})
derivative of tan^2(x+1)	\frac{d}{dx}(\tan^{2}(x)+1)
integral of ((8+3x-x^2))/((2x+3)(x+2)^2)	\int\:\frac{(8+3x-x^{2})}{(2x+3)(x+2)^{2}}dx
(\partial)/(\partial x)(3e^{xy})	\frac{\partial\:}{\partial\:x}(3e^{xy})
taylor-ln(1-x)	taylor\:-\ln(1-x)
derivative of ln(x^2+5x)	\frac{d}{dx}(\ln(x^{2}+5x))
integral from 0 to 1 of 1/(sqrt(3-2x))	\int\:_{0}^{1}\frac{1}{\sqrt{3-2x}}dx
tangent of f(x)=x^2,\at x=4	tangent\:f(x)=x^{2},\at\:x=4
derivative of 2+3e^{-3/x}	\frac{d}{dx}(2+3e^{-\frac{3}{x}})
derivative of (x^4+3x^2-5^4)	\frac{d}{dx}((x^{4}+3x^{2}-5)^{4})
derivative of 3xe^{5x}	\frac{d}{dx}(3xe^{5x})
derivative of 5^{-1/x}	\frac{d}{dx}(5^{-\frac{1}{x}})
derivative of sqrt(3x+1)	derivative\:\sqrt{3x+1}
derivative of 6x^2+5x^3y^4-10y^5	\frac{d}{dx}(6x^{2}+5x^{3}y^{4}-10y^{5})
integral of tan(3x)sin(3x)	\int\:\tan(3x)\sin(3x)dx
integral of (5x+4)^6	\int\:(5x+4)^{6}dx
f(x)=(2x+1)^6	f(x)=(2x+1)^{6}
t((dy)/(dt))=t^3+13t^3y	t(\frac{dy}{dt})=t^{3}+13t^{3}y
derivative of 9xe^{-x}	\frac{d}{dx}(9xe^{-x})
derivative of (14)/((s+7)^2)	derivative\:\frac{14}{(s+7)^{2}}
integral of cos(z)	\int\:\cos(z)
(1+x^2)y^{''}-2xy^'+2y=0	(1+x^{2})y^{\prime\:\prime\:}-2xy^{\prime\:}+2y=0
(d^3)/(dx^3)(ln(x+2))	\frac{d^{3}}{dx^{3}}(\ln(x+2))
derivative of f(t)=sqrt(9t^2-t)	derivative\:f(t)=\sqrt{9t^{2}-t}
integral of (8x^2)/(sqrt(9-x^2))	\int\:\frac{8x^{2}}{\sqrt{9-x^{2}}}dx
area-2x^2+3,0x	area\:-2x^{2}+3,0x
derivative of (t^2)/(t-11)	derivative\:\frac{t^{2}}{t-11}
limit as x approaches-4 of x^2+2/(x+4)	\lim\:_{x\to\:-4}(x^{2}+\frac{2}{x+4})
integral of xsqrt(7-x)	\int\:x\sqrt{7-x}dx
integral from 2 to 3 of (13)/(sqrt(3-x))	\int\:_{2}^{3}\frac{13}{\sqrt{3-x}}dx
integral of (12-12x)/(1-sqrt(x))	\int\:\frac{12-12x}{1-\sqrt{x}}dx
(\partial)/(\partial y)(cos(y/x))	\frac{\partial\:}{\partial\:y}(\cos(\frac{y}{x}))
slope of X^2-2X-15	slope\:X^{2}-2X-15
integral of 7x^4	\int\:7x^{4}dx
tangent of f(x)=7x^2+5x-8	tangent\:f(x)=7x^{2}+5x-8
limit as x approaches 0 of 3/(sin(3x))	\lim\:_{x\to\:0}(\frac{3}{\sin(3x)})
tangent of e^{-x}	tangent\:e^{-x}
y^'=2x+4y	y^{\prime\:}=2x+4y
integral of x/(sqrt(2+3x))	\int\:\frac{x}{\sqrt{2+3x}}dx
integral of (sqrt(x))/(1-x)	\int\:\frac{\sqrt{x}}{1-x}dx
integral from-1 to 0 of 2x-e^x	\int\:_{-1}^{0}2x-e^{x}dx
derivative of t/4	derivative\:\frac{t}{4}
derivative of 5(x^2+7^4(2x))	\frac{d}{dx}(5(x^{2}+7)^{4}(2x))
limit as h approaches 0 of ((1+h)^3-1)/h	\lim\:_{h\to\:0}(\frac{(1+h)^{3}-1}{h})
integral of 1/(1+cos(x))	\int\:\frac{1}{1+\cos(x)}dx
derivative of 5xsqrt(64-x^2)	\frac{d}{dx}(5x\sqrt{64-x^{2}})
partialfraction x/(1-x^2)	partialfraction\:\frac{x}{1-x^{2}}
f(x)=8sqrt(x)	f(x)=8\sqrt{x}
derivative of log_{3}(xe^x)	\frac{d}{dx}(\log_{3}(xe^{x}))
tangent of y=(x^3-4x)^8,(2,0)	tangent\:y=(x^{3}-4x)^{8},(2,0)
d/(dt)((e^{tb}-e^{ta})/(t(b-a)))	\frac{d}{dt}(\frac{e^{tb}-e^{ta}}{t(b-a)})
y^{''}+9y=12sin(3t)	y^{\prime\:\prime\:}+9y=12\sin(3t)

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