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Popular Calculus Problems

integral of \sqrt[3]{z}	\int\:\sqrt[3]{z}dz
limit as x approaches infinity of 8x^2+3	\lim\:_{x\to\:\infty\:}(8x^{2}+3)
integral from-2 to 3 of (2-\|x-1\|)	\int\:_{-2}^{3}(2-\left\|x-1\right\|)dx
limit as x approaches 0 of ((5^x-3^x))/x	\lim\:_{x\to\:0}(\frac{(5^{x}-3^{x})}{x})
derivative of (50x/(0.01x^2+1))	\frac{d}{dx}(\frac{50x}{0.01x^{2}+1})
integral of (x^2+1)^{-3/2}	\int\:(x^{2}+1)^{-\frac{3}{2}}dx
derivative of f(x)=x^4-4x^3	derivative\:f(x)=x^{4}-4x^{3}
integral of x*sqrt(1-x^4)	\int\:x\cdot\:\sqrt{1-x^{4}}dx
sum from n=0 to infinity of (1/2)^{n+1}	\sum\:_{n=0}^{\infty\:}(\frac{1}{2})^{n+1}
y^'+y/(x+1)=0	y^{\prime\:}+\frac{y}{x+1}=0
derivative of 1/9 (1-(3x+1e^{-3x}))	\frac{d}{dx}(\frac{1}{9}(1-(3x+1)e^{-3x}))
derivative of y=(8x^2+2x+8)/(sqrt(x))	derivative\:y=\frac{8x^{2}+2x+8}{\sqrt{x}}
derivative of x/(x^2+2)	derivative\:\frac{x}{x^{2}+2}
derivative of (e^{2x}-e^x+e^{-3x}/(e^x))	\frac{d}{dx}(\frac{e^{2x}-e^{x}+e^{-3x}}{e^{x}})
(\partial)/(\partial x)(2x)	\frac{\partial\:}{\partial\:x}(2x)
integral of 1/(x^2+1)	\int\:\frac{1}{x^{2}+1}dx
(\partial)/(\partial x)(zsin(x))	\frac{\partial\:}{\partial\:x}(z\sin(x))
derivative of ln(4x^2)	\frac{d}{dx}(\ln(4x^{2}))
area sin^2(x),sin^4(x),0,pi	area\:\sin^{2}(x),\sin^{4}(x),0,π
derivative of (sqrt(2)^x)	\frac{d}{dx}((\sqrt{2})^{x})
tangent of 4x-x^2	tangent\:4x-x^{2}
integral of cos(9x)sin(5x)	\int\:\cos(9x)\sin(5x)dx
y^3-(18x+6)+3xy^2(dy)/(dx)=0	y^{3}-(18x+6)+3xy^{2}\frac{dy}{dx}=0
derivative of ((1+sin(3x)/(3-2x))^{-1})	\frac{d}{dx}((\frac{1+\sin(3x)}{3-2x})^{-1})
sum from n=0 to infinity of (1+x)^n	\sum\:_{n=0}^{\infty\:}(1+x)^{n}
integral of 11x^{4/7}+6x^{-6/7}	\int\:11x^{\frac{4}{7}}+6x^{-\frac{6}{7}}dx
integral of 5x-x	\int\:5x-xdx
integral of \sqrt[5]{y^2}	\int\:\sqrt[5]{y^{2}}dy
derivative of (sqrt(1+x))/2	derivative\:\frac{\sqrt{1+x}}{2}
tangent of-2x^2,\at x=0	tangent\:-2x^{2},\at\:x=0
derivative of (sqrt(2)/(e^x+1/(e^x)))	\frac{d}{dx}(\frac{\sqrt{2}}{e^{x}+\frac{1}{e^{x}}})
integral of (sqrt(1-t^2))/(t^4)	\int\:\frac{\sqrt{1-t^{2}}}{t^{4}}dt
integral of 10ln(x^2-1)	\int\:10\ln(x^{2}-1)dx
tangent of (2x-6)/(x+1),\at x=0	tangent\:\frac{2x-6}{x+1},\at\:x=0
derivative of t/(sqrt(t^2+36))	derivative\:\frac{t}{\sqrt{t^{2}+36}}
e^x(dy)/(dx)=2	e^{x}\frac{dy}{dx}=2
y^{''}+y^'+4.25y=221cos(4.5t)	y^{\prime\:\prime\:}+y^{\prime\:}+4.25y=221\cos(4.5t)
integral from 0 to 4 of 1/(sqrt(4-x))	\int\:_{0}^{4}\frac{1}{\sqrt{4-x}}dx
derivative of (2x^3+8)/x	derivative\:\frac{2x^{3}+8}{x}
taylor 2/(1-x^2),0	taylor\:\frac{2}{1-x^{2}},0
integral of cos(x)cos(x)	\int\:\cos(x)\cos(x)dx
(\partial)/(\partial x)(sqrt(90-4x^2-1y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{90-4x^{2}-1y^{2}})
y^'=(t^2)/y (1+t^3)	y^{\prime\:}=\frac{t^{2}}{y}(1+t^{3})
integral from 0 to 13 of 8x	\int\:_{0}^{13}8xdx
(3x+ye^{y/x})dx-xe^{y/x}dy=0	(3x+ye^{\frac{y}{x}})dx-xe^{\frac{y}{x}}dy=0
-10x^2y+y^'=5x^2	-10x^{2}y+y^{\prime\:}=5x^{2}
limit as x approaches 5+of log_{3}(x-5)	\lim\:_{x\to\:5+}(\log_{3}(x-5))
limit as x approaches 0 of 4/(e^x+1)	\lim\:_{x\to\:0}(\frac{4}{e^{x}+1})
limit as x approaches 1 of ((1+x)(1-x)}{x*\frac{sin(pix))/x}	\lim\:_{x\to\:1}(\frac{(1+x)(1-x)}{x\cdot\:\frac{\sin(πx)}{x}})
integral of 1/(sqrt(x^2+6))	\int\:\frac{1}{\sqrt{x^{2}+6}}dx
(\partial)/(\partial x)((2x-3t)/(3x+5t))	\frac{\partial\:}{\partial\:x}(\frac{2x-3t}{3x+5t})
integral of 6/(x(ln(x))^2)	\int\:\frac{6}{x(\ln(x))^{2}}dx
derivative of 3t^2-3	derivative\:3t^{2}-3
integral of (sqrt(y^2-25))/(y^3)	\int\:\frac{\sqrt{y^{2}-25}}{y^{3}}dy
integral of 1/(600-x)	\int\:\frac{1}{600-x}dx
implicit (dy)/(dx),3x-tan(y)=4	implicit\:\frac{dy}{dx},3x-\tan(y)=4
integral from 3 to 5 of (2t)/(t^2-4t+4)	\int\:_{3}^{5}\frac{2t}{t^{2}-4t+4}dt
derivative of 2e^x+2/(\sqrt[3]{x)}	derivative\:2e^{x}+\frac{2}{\sqrt[3]{x}}
y^'=(4x^3+y^3)/(xy^2)	y^{\prime\:}=\frac{4x^{3}+y^{3}}{xy^{2}}
integral of (x^2+x)^2	\int\:(x^{2}+x)^{2}dx
sum from n=0 to infinity of 1/(2(2n+1))	\sum\:_{n=0}^{\infty\:}\frac{1}{2(2n+1)}
integral of (x^7-2x^6)^4(7x^6-12x^5)	\int\:(x^{7}-2x^{6})^{4}(7x^{6}-12x^{5})dx
limit as x approaches 0 of (50x^2)/(sin(x)+50x^2)	\lim\:_{x\to\:0}(\frac{50x^{2}}{\sin(x)+50x^{2}})
integral from 0 to 1 of e^{2x}	\int\:_{0}^{1}e^{2x}dx
tangent of f(x)=x^3-2x-2,\at x=-1	tangent\:f(x)=x^{3}-2x-2,\at\:x=-1
derivative of f(t)= 9/(t^2)	derivative\:f(t)=\frac{9}{t^{2}}
x(y^')=4y	x(y^{\prime\:})=4y
tangent of x^3+2	tangent\:x^{3}+2
integral of 4ln(x^2-1)	\int\:4\ln(x^{2}-1)dx
integral of 2x^2-4x-6	\int\:2x^{2}-4x-6dx
derivative of x^{9/x}	\frac{d}{dx}(x^{\frac{9}{x}})
(dy)/(dt)=2100-300(y/(17000))	\frac{dy}{dt}=2100-300(\frac{y}{17000})
integral of 5/(x^6)	\int\:\frac{5}{x^{6}}dx
derivative of ln((x+3^{-1}))	\frac{d}{dx}(\ln((x+3)^{-1}))
limit as x approaches 0 of (x^2+2x-1)/x	\lim\:_{x\to\:0}(\frac{x^{2}+2x-1}{x})
taylor sqrt(1-x^2)	taylor\:\sqrt{1-x^{2}}
limit as x approaches infinity of 9^{-x}	\lim\:_{x\to\:\infty\:}(9^{-x})
integral of (48x)/(8x^2+e)	\int\:\frac{48x}{8x^{2}+e}dx
derivative of x^2+3x-10	\frac{d}{dx}(x^{2}+3x-10)
laplacetransform t*sin(5t+0.2pi)	laplacetransform\:t\cdot\:\sin(5t+0.2π)
tangent of f(x)=7+4x^2-2x^3,\at x=2	tangent\:f(x)=7+4x^{2}-2x^{3},\at\:x=2
f(x)=xsqrt(x+3)	f(x)=x\sqrt{x+3}
derivative of 4-3x-5x^2	\frac{d}{dx}(4-3x-5x^{2})
integral of-(5\sqrt[3]{x^2})/3	\int\:-\frac{5\sqrt[3]{x^{2}}}{3}dx
integral from 0 to 1 of t^2	\int\:_{0}^{1}t^{2}dt
derivative of x^2e^x-2xe^x+4e^x	derivative\:x^{2}e^{x}-2xe^{x}+4e^{x}
derivative of 8ln(x)	derivative\:8\ln(x)
derivative of e^{sqrt(x^2+1)}	\frac{d}{dx}(e^{\sqrt{x^{2}+1}})
y^'=20-5y	y^{\prime\:}=20-5y
integral of sin^2(x)x	\int\:\sin^{2}(x)xdx
y^'=-ay+b	y^{\prime\:}=-ay+b
tangent of f(x)=2x^2+x-1,\at x=-2	tangent\:f(x)=2x^{2}+x-1,\at\:x=-2
derivative of xe^{(-(x^2/8)})	\frac{d}{dx}(xe^{(-\frac{x^{2}}{8})})
derivative of f(x)=-1/6 (x^{-6}-x^{12})	derivative\:f(x)=-\frac{1}{6}(x^{-6}-x^{12})
xy^'+y=x^{3/2}y^{5/2}ln(x)	xy^{\prime\:}+y=x^{\frac{3}{2}}y^{\frac{5}{2}}\ln(x)
tangent of e^{6x}	tangent\:e^{6x}
derivative of (x+9)/(sqrt(x))	derivative\:\frac{x+9}{\sqrt{x}}
d/(dt)(e^{-t}sin(2t))	\frac{d}{dt}(e^{-t}\sin(2t))
slope ofintercept (-4,0),(1,-5)	slopeintercept\:(-4,0),(1,-5)
tangent of f(x)= 1/2 x^2,\at x=-1	tangent\:f(x)=\frac{1}{2}x^{2},\at\:x=-1

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