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Popular Calculus Problems

slope of xy-5y^2=4(12.2)	slope\:xy-5y^{2}=4(12.2)
integral from-3 to 4 of 8/(x^3)	\int\:_{-3}^{4}\frac{8}{x^{3}}dx
(dy)/(dx)+1/x y=5x^2	\frac{dy}{dx}+\frac{1}{x}y=5x^{2}
derivative of (a+bx/(a-bx))	\frac{d}{dx}(\frac{a+bx}{a-bx})
y^'+10y=t+e^{-5t}	y^{\prime\:}+10y=t+e^{-5t}
derivative of x^2*cos(x^2)	\frac{d}{dx}(x^{2}\cdot\:\cos(x^{2}))
integral of (e^{-x}+4^x)	\int\:(e^{-x}+4^{x})dx
derivative of G(r)=sqrt(r)+\sqrt[4]{r}	derivative\:G(r)=\sqrt{r}+\sqrt[4]{r}
integral of 1/(sqrt(x^2-8x))	\int\:\frac{1}{\sqrt{x^{2}-8x}}dx
(\partial)/(\partial x)(2ycos(xy))	\frac{\partial\:}{\partial\:x}(2y\cos(xy))
limit as x approaches-3 of sqrt(-4x+8)	\lim\:_{x\to\:-3}(\sqrt{-4x+8})
(\partial)/(\partial x)(1/(ln(x)))	\frac{\partial\:}{\partial\:x}(\frac{1}{\ln(x)})
(\partial)/(\partial x)(e^{x^2+y^2+z^2})	\frac{\partial\:}{\partial\:x}(e^{x^{2}+y^{2}+z^{2}})
(\partial)/(\partial x)(x/(x+y))	\frac{\partial\:}{\partial\:x}(\frac{x}{x+y})
(\partial)/(\partial y)(ln(x-5y))	\frac{\partial\:}{\partial\:y}(\ln(x-5y))
area x^2+4x+3,y=-2,-2<x<0	area\:x^{2}+4x+3,y=-2,-2<x<0
area x=y+2,x=y^2	area\:x=y+2,x=y^{2}
derivative of 1/(7-6e^x)	derivative\:\frac{1}{7-6e^{x}}
(\partial)/(\partial x)(-400x(y-x^2)-2(1-x))	\frac{\partial\:}{\partial\:x}(-400x(y-x^{2})-2(1-x))
y^'=sin(x-y)	y^{\prime\:}=\sin(x-y)
derivative of cx^{-6}	\frac{d}{dx}(cx^{-6})
integral of (x+1)(2x-1)	\int\:(x+1)(2x-1)dx
derivative of 1/(x+6)	derivative\:\frac{1}{x+6}
integral of 1/(x(ln(x))^{15)}	\int\:\frac{1}{x(\ln(x))^{15}}dx
derivative of (2x^3-7^8)	\frac{d}{dx}((2x^{3}-7)^{8})
derivative of ln(x/2 (x-2))	\frac{d}{dx}(\ln(\frac{x}{2})(x-2))
limit as x approaches 0-of (x+10)/(x^2)	\lim\:_{x\to\:0-}(\frac{x+10}{x^{2}})
integral of (8x^4+4x^3-6x^2-4x+5)	\int\:(8x^{4}+4x^{3}-6x^{2}-4x+5)dx
derivative of \sqrt[5]{x}+2sqrt(x^5)	\frac{d}{dx}(\sqrt[5]{x}+2\sqrt{x^{5}})
derivative of f(x)=(5x^3+6x^2+4)^8	derivative\:f(x)=(5x^{3}+6x^{2}+4)^{8}
y^{''}+5y^'+4y=8x^2+6e^{-x}	y^{\prime\:\prime\:}+5y^{\prime\:}+4y=8x^{2}+6e^{-x}
integral of xsin(1/10 x)	\int\:x\sin(\frac{1}{10}x)dx
integral of sqrt(x+1)ln(x+1)	\int\:\sqrt{x+1}\ln(x+1)dx
integral of 5x(2+3x^2)^8	\int\:5x(2+3x^{2})^{8}dx
inverse oflaplace (10)/(s^3+s^2+10s)	inverselaplace\:\frac{10}{s^{3}+s^{2}+10s}
derivative of (x^2+1^{2x-x^2})	\frac{d}{dx}((x^{2}+1)^{2x-x^{2}})
integral from 0 to pi of 9sin^2(tco)s^4t	\int\:_{0}^{π}9\sin^{2}(tco)s^{4}tdt
integral of 6tan^2(x)	\int\:6\tan^{2}(x)dx
integral of x^2-4x+8	\int\:x^{2}-4x+8dx
derivative of log_{7}(x^2+e^x-ln(ln(x)))	\frac{d}{dx}(\log_{7}(x^{2}+e^{x})-\ln(\ln(x)))
derivative of 25-x^2	\frac{d}{dx}(25-x^{2})
(\partial)/(\partial y)(2x+y-1)	\frac{\partial\:}{\partial\:y}(2x+y-1)
derivative of ln(tan(x/2))	\frac{d}{dx}(\ln(\tan(\frac{x}{2})))
limit as x approaches-2 of (1-x^2)/(x+2)	\lim\:_{x\to\:-2}(\frac{1-x^{2}}{x+2})
inverse oflaplace (e^{-5s})/(s+1)	inverselaplace\:\frac{e^{-5s}}{s+1}
limit as x approaches-2+of (2x-1)/(x+2)	\lim\:_{x\to\:-2+}(\frac{2x-1}{x+2})
y^{''}+4y=sin^2(x)	y^{\prime\:\prime\:}+4y=\sin^{2}(x)
integral of \sqrt[3]{tan(4x)}sec^2(4x)	\int\:\sqrt[3]{\tan(4x)}\sec^{2}(4x)dx
y^{''}-y^'-6y=0,y(0)=2,y^'(0)=-1	y^{\prime\:\prime\:}-y^{\prime\:}-6y=0,y(0)=2,y^{\prime\:}(0)=-1
limit as x approaches 0 of (sin(x^2))/x	\lim\:_{x\to\:0}(\frac{\sin(x^{2})}{x})
derivative of 20+0.6sqrt(x)	\frac{d}{dx}(20+0.6\sqrt{x})
(\partial)/(\partial x)((e^x)/(y+x^9))	\frac{\partial\:}{\partial\:x}(\frac{e^{x}}{y+x^{9}})
y^'=(((y-y^2)t))/(1+t^2),y(0)= 1/2	y^{\prime\:}=\frac{((y-y^{2})t)}{1+t^{2}},y(0)=\frac{1}{2}
integral of 2t^{3/2}	\int\:2t^{\frac{3}{2}}dt
integral of 9/((x-7)(x+2))	\int\:\frac{9}{(x-7)(x+2)}dx
(dx)/(dt)=xb	\frac{dx}{dt}=xb
derivative of 2x^3e^{-x}	derivative\:2x^{3}e^{-x}
tangent of f(x)=sqrt(100-x^2),\at x=-6	tangent\:f(x)=\sqrt{100-x^{2}},\at\:x=-6
laplacetransform tsin(1.74t)	laplacetransform\:t\sin(1.74t)
integral of-1/(3(s-1)^3)	\int\:-\frac{1}{3(s-1)^{3}}ds
integral of x/(x-13)	\int\:\frac{x}{x-13}dx
integral of cos^4(3x)	\int\:\cos^{4}(3x)dx
y=(dy)/(dx)x-(dy)/(dx)^2	y=\frac{dy}{dx}x-\frac{dy}{dx}^{2}
area y=5x^2,y^2= 1/5 x	area\:y=5x^{2},y^{2}=\frac{1}{5}x
(dy)/(dx)=x^6y	\frac{dy}{dx}=x^{6}y
limit as x approaches 100 of 8x	\lim\:_{x\to\:100}(8x)
derivative of 1/(4x^{3/2)}	derivative\:\frac{1}{4x^{\frac{3}{2}}}
derivative of (x+3^4)	\frac{d}{dx}((x+3)^{4})
integral from 0 to sqrt(2 of)sqrt(4-x^2)	\int\:_{0}^{\sqrt{2}}\sqrt{4-x^{2}}dx
(dy)/(dx)=x-y+1	\frac{dy}{dx}=x-y+1
(\partial)/(\partial x)((2y)/(x+z))	\frac{\partial\:}{\partial\:x}(\frac{2y}{x+z})
integral of (1-x)^5	\int\:(1-x)^{5}dx
sum from n=1 to infinity of 8*(1/3)^n	\sum\:_{n=1}^{\infty\:}8\cdot\:(\frac{1}{3})^{n}
derivative of ((x^2-5x^2)/((6x+7)^3))	\frac{d}{dx}(\frac{(x^{2}-5x)^{2}}{(6x+7)^{3}})
slope of (-5,5),(-7,5)	slope\:(-5,5),(-7,5)
derivative of (5x^2-15/(3(x^2-5)^{2/3)})	\frac{d}{dx}(\frac{5x^{2}-15}{3(x^{2}-5)^{\frac{2}{3}}})
limit as x approaches a of 0^0	\lim\:_{x\to\:a}(0^{0})
integral from-3 to 2 of 10^xln(10)	\int\:_{-3}^{2}10^{x}\ln(10)dx
integral of x^{(-2)/3}	\int\:x^{\frac{-2}{3}}dx
integral of (x^5)/(sqrt(1-x^{12))}	\int\:\frac{x^{5}}{\sqrt{1-x^{12}}}dx
limit as x approaches 8 of ((x^{1/3}-2))/(x-8)	\lim\:_{x\to\:8}(\frac{(x^{\frac{1}{3}}-2)}{x-8})
integral of 1/(y^6)	\int\:\frac{1}{y^{6}}dy
f(t)=(\sqrt[4]{t})/3	f(t)=\frac{\sqrt[4]{t}}{3}
limit as x approaches 0 of 1/(2+3x)	\lim\:_{x\to\:0}(\frac{1}{2+3x})
y^'=57500-0.1733y	y^{\prime\:}=57500-0.1733y
(d^2)/(dx^2)(6/(x^2))	\frac{d^{2}}{dx^{2}}(\frac{6}{x^{2}})
derivative of 1+4x^2	\frac{d}{dx}(1+4x^{2})
integral of 1/(x^2+10x+26)	\int\:\frac{1}{x^{2}+10x+26}dx
integral from 0 to 1 of x^4e^{4x}	\int\:_{0}^{1}x^{4}e^{4x}dx
limit as x approaches 1 of-16x^2+100x	\lim\:_{x\to\:1}(-16x^{2}+100x)
integral of 12xln(6x)	\int\:12x\ln(6x)dx
integral of (-(3000)/(x^2))	\int\:(-\frac{3000}{x^{2}})dx
derivative of 8/(sqrt(x^2+6x))	\frac{d}{dx}(\frac{8}{\sqrt{x^{2}+6x}})
limit as x approaches 0 of 3e^{3x}	\lim\:_{x\to\:0}(3e^{3x})
derivative of ((2+x)/((2-x)^5))	\frac{d}{dx}(\frac{(2+x)}{(2-x)^{5}})
integral from-3 to 5 of (4)	\int\:_{-3}^{5}(4)dx
integral of 1/(cos(x/2))	\int\:\frac{1}{\cos(\frac{x}{2})}dx
derivative of \sqrt[5]{1+x}	\frac{d}{dx}(\sqrt[5]{1+x})
limit as x approaches 3+of (x+4)/(x+3)	\lim\:_{x\to\:3+}(\frac{x+4}{x+3})
integral of e^x+3x-x^2	\int\:e^{x}+3x-x^{2}dx

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