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Popular Calculus Problems

simplify ((x^2-7x+10))/(x-2)	simplify\:\frac{(x^{2}-7x+10)}{x-2}
integral of (x+5)(x^2+5x-10)	\int\:(x+5)(x^{2}+5x-10)dx
taylor u^2	taylor\:u^{2}
(\partial)/(\partial x)(3sqrt(xy))	\frac{\partial\:}{\partial\:x}(3\sqrt{xy})
integral from 1 to 4 of-7sqrt(t)ln(t)	\int\:_{1}^{4}-7\sqrt{t}\ln(t)dt
derivative of (2x^3+4/(x^2-4x+1))	\frac{d}{dx}(\frac{2x^{3}+4}{x^{2}-4x+1})
limit as x approaches 0 of ln(tan(7x))	\lim\:_{x\to\:0}(\ln(\tan(7x)))
integral of (16x^2)/(16x^2+25)	\int\:\frac{16x^{2}}{16x^{2}+25}dx
integral of (x^2+4x-1)/(x^3-x)	\int\:\frac{x^{2}+4x-1}{x^{3}-x}dx
f(x)=arctan(sqrt((1-x)/(1+x)))	f(x)=\arctan(\sqrt{\frac{1-x}{1+x}})
derivative of e^{(x+ln(x)})	\frac{d}{dx}(e^{(x+\ln(x))})
area y=sin(x),y=sin(2x),x=0,x= pi/3	area\:y=\sin(x),y=\sin(2x),x=0,x=\frac{π}{3}
derivative of 1-ln(cos(x))	\frac{d}{dx}(1-\ln(\cos(x)))
derivative of f(x)=(x^2-4)/(x-3)	derivative\:f(x)=\frac{x^{2}-4}{x-3}
limit as x approaches-infinity of a^x	\lim\:_{x\to\:-\infty\:}(a^{x})
integral of y^2ln(y)	\int\:y^{2}\ln(y)dy
integral of (x+1)/(x^2-x+1)	\int\:\frac{x+1}{x^{2}-x+1}dx
limit as x approaches 0 of sqrt(x)+x	\lim\:_{x\to\:0}(\sqrt{x}+x)
integral of 9tan^2(x)sec^3(x)	\int\:9\tan^{2}(x)\sec^{3}(x)dx
derivative of-16x^2+16x+320	\frac{d}{dx}(-16x^{2}+16x+320)
derivative of-25cos(5x)	\frac{d}{dx}(-25\cos(5x))
derivative of 2xe^{5x}	\frac{d}{dx}(2xe^{5x})
derivative of 8x^9	derivative\:8x^{9}
integral from-1 to 1 of (1-\|x\|)	\int\:_{-1}^{1}(1-\left\|x\right\|)dx
derivative of 3x+4x^2	\frac{d}{dx}(3x+4x^{2})
(\partial)/(\partial x)(4x^3-36x)	\frac{\partial\:}{\partial\:x}(4x^{3}-36x)
integral of (3sec(x)tan(x)+4sec^2(x))	\int\:(3\sec(x)\tan(x)+4\sec^{2}(x))dx
integral of 3x(4x-1)^5	\int\:3x(4x-1)^{5}dx
integral of 7sin^3(x)cos^7(x)	\int\:7\sin^{3}(x)\cos^{7}(x)dx
laplacetransform cos(3t)	laplacetransform\:\cos(3t)
derivative of 7ln(sec(x+tan(x)))	\frac{d}{dx}(7\ln(\sec(x)+\tan(x)))
tangent of y=2x^3-6x^2+5x+1,(2,3)	tangent\:y=2x^{3}-6x^{2}+5x+1,(2,3)
h^'=-h	h^{\prime\:}=-h
derivative of 4/3	\frac{d}{dx}(\frac{4}{3})
derivative of sin^3(xcos(x))	\frac{d}{dx}(\sin^{3}(x)\cos(x))
limit as x approaches-5+of (x-3)/(x+5)	\lim\:_{x\to\:-5+}(\frac{x-3}{x+5})
derivative of (1+3x)(6-5x)	derivative\:(1+3x)(6-5x)
derivative of y=(10)/(x^3)	derivative\:y=\frac{10}{x^{3}}
(4xy^2+4y)dx+(4x^2y+4x)dy=0	(4xy^{2}+4y)dx+(4x^{2}y+4x)dy=0
roots acos(t)	roots\:a\cos(t)
integral of cos^2(x)*sin(x)	\int\:\cos^{2}(x)\cdot\:\sin(x)dx
(\partial)/(\partial x)(2z^{10})	\frac{\partial\:}{\partial\:x}(2z^{10})
derivative of f(x)= 1/(5x-7)	derivative\:f(x)=\frac{1}{5x-7}
derivative of sqrt(x^2-4x-3)	\frac{d}{dx}(\sqrt{x^{2}-4x-3})
derivative of (x^2+2x)/((x+1)^2)	derivative\:\frac{x^{2}+2x}{(x+1)^{2}}
(\partial)/(\partial h)(2pir^2+2pirh)	\frac{\partial\:}{\partial\:h}(2πr^{2}+2πrh)
area f(x)=x^5+2,g(x)=x+2	area\:f(x)=x^{5}+2,g(x)=x+2
derivative of y=e^xln(x)	derivative\:y=e^{x}\ln(x)
(\partial)/(\partial x)(20-2x+1.5-y+3a)	\frac{\partial\:}{\partial\:x}(20-2x+1.5-y+3a)
limit as x approaches-infinity of x*e^{1/x}	\lim\:_{x\to\:-\infty\:}(x\cdot\:e^{\frac{1}{x}})
integral of sqrt(4t^2+1)	\int\:\sqrt{4t^{2}+1}dt
limit as x approaches 0 of-\|x-2\|+3	\lim\:_{x\to\:0}(-\left\|x-2\right\|+3)
(\partial)/(\partial x)((x+y)/(x*y))	\frac{\partial\:}{\partial\:x}(\frac{x+y}{x\cdot\:y})
derivative of log_{3}(4x)	\frac{d}{dx}(\log_{3}(4x))
d/(dθ)(8/(2+cot(θ)sin(θ)))	\frac{d}{dθ}(\frac{8}{2+\cot(θ)\sin(θ)})
integral of 1/(x(ln(x))^4)	\int\:\frac{1}{x(\ln(x))^{4}}dx
derivative of y=(7sqrt(x)+3)x^2	derivative\:y=(7\sqrt{x}+3)x^{2}
taylor cos(x)(pi/2)	taylor\:\cos(x)(\frac{π}{2})
derivative of 5ln\|x-e^x\|	\frac{d}{dx}(5\ln\left\|x-e^{x}\right\|)
derivative of-(3x+1/(x^2))	\frac{d}{dx}(-\frac{3x+1}{x^{2}})
derivative of 4(5-7x)^5	derivative\:4(5-7x)^{5}
integral of-3e^x	\int\:-3e^{x}dx
integral of (tan(x)+cot(x))^2	\int\:(\tan(x)+\cot(x))^{2}dx
integral of-5sin(3x)	\int\:-5\sin(3x)dx
(\partial)/(\partial y)(x^3+3xy^2)	\frac{\partial\:}{\partial\:y}(x^{3}+3xy^{2})
integral of ((x^2)/2+sin(x))	\int\:(\frac{x^{2}}{2}+\sin(x))dx
(\partial)/(\partial x)(e^{4xyz-9})	\frac{\partial\:}{\partial\:x}(e^{4xyz-9})
derivative of (2x+6x^2)/((1+6x)^2)	derivative\:\frac{2x+6x^{2}}{(1+6x)^{2}}
tangent of x^3+x^2-x-3,\at x=-2	tangent\:x^{3}+x^{2}-x-3,\at\:x=-2
integral of 7xe^{-x}	\int\:7xe^{-x}dx
4(ln(y))y^'-x^9y=0	4(\ln(y))y^{\prime\:}-x^{9}y=0
(\partial)/(\partial s)(te^{st})	\frac{\partial\:}{\partial\:s}(te^{st})
integral of (t^3)(e^{-2t})	\int\:(t^{3})(e^{-2t})dt
(dy)/(dx)=x^2-y-2	\frac{dy}{dx}=x^{2}-y-2
area 2x, 2/x ,x=3	area\:2x,\frac{2}{x},x=3
(\partial)/(\partial y)(4cos(x^2+y^2))	\frac{\partial\:}{\partial\:y}(4\cos(x^{2}+y^{2}))
limit as x approaches 0 of (ln(1+5x))/x	\lim\:_{x\to\:0}(\frac{\ln(1+5x)}{x})
y^'-y/x =0	y^{\prime\:}-\frac{y}{x}=0
integral of (4x+3)*(2x^2+3x)^3	\int\:(4x+3)\cdot\:(2x^{2}+3x)^{3}dx
integral of ((x^3))/(sqrt(x^2+64))	\int\:\frac{(x^{3})}{\sqrt{x^{2}+64}}dx
tangent of y=x^3-2x+1,(3,22)	tangent\:y=x^{3}-2x+1,(3,22)
taylor (-3x+14)^{4/3},2	taylor\:(-3x+14)^{\frac{4}{3}},2
(\partial)/(\partial x)(x^5+x^2y+x+1)	\frac{\partial\:}{\partial\:x}(x^{5}+x^{2}y+x+1)
integral of (13)/((t^2+1)^{3/2)}	\int\:\frac{13}{(t^{2}+1)^{\frac{3}{2}}}dt
(x^2+1)(dy)/(dx)=x(y^2+1)	(x^{2}+1)\frac{dy}{dx}=x(y^{2}+1)
area x^2-6x-7,-x^2+2x+3	area\:x^{2}-6x-7,-x^{2}+2x+3
integral of 5sin^5(x)cos(x)	\int\:5\sin^{5}(x)\cos(x)dx
limit as x approaches-1+of 8x^2+5m	\lim\:_{x\to\:-1+}(8x^{2}+5m)
sum from n=1 to infinity}(-1)^{n+1 of 2/(3^n)	\sum\:_{n=1}^{\infty\:}(-1)^{n+1}\frac{2}{3^{n}}
limit as x approaches 6 of 8	\lim\:_{x\to\:6}(8)
integral of (5cos^2(x)-3tan(x))/(cos(x))	\int\:\frac{5\cos^{2}(x)-3\tan(x)}{\cos(x)}dx
derivative of cosh(e^x)	\frac{d}{dx}(\cosh(e^{x}))
(dy)/(dx)+3y=70	\frac{dy}{dx}+3y=70
integral from 1 to infinity of 8/(x^2+1)	\int\:_{1}^{\infty\:}\frac{8}{x^{2}+1}dx
integral of (csc^2(x)-2e^x)	\int\:(\csc^{2}(x)-2e^{x})dx
limit as x approaches 2 of x^3+4x^2-2x+2	\lim\:_{x\to\:2}(x^{3}+4x^{2}-2x+2)
derivative of f(x)=2x^2e^x(x^2-3x+1)	derivative\:f(x)=2x^{2}e^{x}(x^{2}-3x+1)
integral of 2x*e^x	\int\:2x\cdot\:e^{x}dx
integral from 1 to 4 of (x-7)/(sqrt(x))	\int\:_{1}^{4}\frac{x-7}{\sqrt{x}}dx
derivative of (3x^3+4)^2	derivative\:(3x^{3}+4)^{2}

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