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Popular Calculus Problems

integral of e^x(x+1)	\int\:e^{x}(x+1)dx
(\partial)/(\partial x)(8xe^{sqrt(xy)})	\frac{\partial\:}{\partial\:x}(8xe^{\sqrt{xy}})
(\partial}{\partial x}(\frac{(x-q))/y*q)	\frac{\partial\:}{\partial\:x}(\frac{(x-q)}{y}\cdot\:q)
integral from 1 to 16 of sqrt(x)	\int\:_{1}^{16}\sqrt{x}dx
inverse oflaplace s/(s+1.3)	inverselaplace\:\frac{s}{s+1.3}
(\partial)/(\partial x)(xy+x/y)	\frac{\partial\:}{\partial\:x}(xy+\frac{x}{y})
derivative of f(z)=e^{z/(z-1)}	derivative\:f(z)=e^{\frac{z}{z-1}}
derivative of \sqrt[5]{(x^3-4x^{-3}})	\frac{d}{dx}(\sqrt[5]{(x^{3}-4x)^{-3}})
integral from 0 to 3 of (8t)/((t-4)^2)	\int\:_{0}^{3}\frac{8t}{(t-4)^{2}}dt
area x^2,8-x^2	area\:x^{2},8-x^{2}
integral from 0 to 1 of xf(x)	\int\:_{0}^{1}xf(x)dx
(\partial)/(\partial x)(2x^4y-3xy+9y)	\frac{\partial\:}{\partial\:x}(2x^{4}y-3xy+9y)
(dy)/(dx)=sqrt(3x+y)-3	\frac{dy}{dx}=\sqrt{3x+y}-3
integral from 0 to 10 of xe^{-0.6x}	\int\:_{0}^{10}xe^{-0.6x}dx
(\partial)/(\partial y)(y(2-x-y))	\frac{\partial\:}{\partial\:y}(y(2-x-y))
integral of x(x^2+1)	\int\:x(x^{2}+1)dx
xy^'-y^'-(x-1)sin(x)+y=0	xy^{\prime\:}-y^{\prime\:}-(x-1)\sin(x)+y=0
integral from 0 to 1 of (1+x^2)e^{-x}	\int\:_{0}^{1}(1+x^{2})e^{-x}dx
derivative of y= 7/(3-4x^4)	derivative\:y=\frac{7}{3-4x^{4}}
(x+1)y^'+(2x-1)y=e^{-2x}	(x+1)y^{\prime\:}+(2x-1)y=e^{-2x}
derivative of-6sin(6x)	\frac{d}{dx}(-6\sin(6x))
(\partial)/(\partial x)(ln(cos(x^2y^2+z)))	\frac{\partial\:}{\partial\:x}(\ln(\cos(x^{2}y^{2}+z)))
tangent of arcsin(x/7),\at x=4	tangent\:\arcsin(\frac{x}{7}),\at\:x=4
derivative of ln(8-9x)	\frac{d}{dx}(\ln(8-9x))
y^{''}+4y=tsin(2t)	y^{\prime\:\prime\:}+4y=t\sin(2t)
(dy)/(dx)+12y=7	\frac{dy}{dx}+12y=7
(\partial)/(\partial x)(x/y+y/z)	\frac{\partial\:}{\partial\:x}(\frac{x}{y}+\frac{y}{z})
integral of 3xsqrt(3-3x)	\int\:3x\sqrt{3-3x}dx
(dy)/(dx)=(2x)/(3y^2)	\frac{dy}{dx}=\frac{2x}{3y^{2}}
(\partial)/(\partial x)(e^{4xy})	\frac{\partial\:}{\partial\:x}(e^{4xy})
derivative of x^3sin(2x)	\frac{d}{dx}(x^{3}\sin(2x))
sum from n=1 to infinity}((3^{n+1 of))/((4^{n-1))}	\sum\:_{n=1}^{\infty\:}\frac{(3^{n+1})}{(4^{n-1})}
d/(d{x)}(2{x}+{y}^2-{z}^2)	\frac{d}{d{x}}(2{x}+{y}^{2}-{z}^{2})
derivative of 10tan(x)	\frac{d}{dx}(10\tan(x))
d/(dX)(XY+YZ(Y+Z))	\frac{d}{dX}(XY+YZ(Y+Z))
sum from n=0 to infinity of (n!)/(3n!-1)	\sum\:_{n=0}^{\infty\:}\frac{n!}{3n!-1}
derivative of e^xx-6e^x	derivative\:e^{x}x-6e^{x}
(x^2+1)(dy)/(dx)+3x(y-1)=0,y(0)=8	(x^{2}+1)\frac{dy}{dx}+3x(y-1)=0,y(0)=8
integral of (x^5-2x^3)	\int\:(x^{5}-2x^{3})dx
derivative of arctan(x/6)	\frac{d}{dx}(\arctan(\frac{x}{6}))
integral of sqrt(x)ln(8x)	\int\:\sqrt{x}\ln(8x)dx
y'=0.0016y(2500-y)	y\prime\:=0.0016y(2500-y)
y^'-y=6te^{2t}	y^{\prime\:}-y=6te^{2t}
tangent of f(x)=sqrt(1-4x),\at x=-1	tangent\:f(x)=\sqrt{1-4x},\at\:x=-1
(2xy^2+7y)+(2x^2y+7x)y^'=0	(2xy^{2}+7y)+(2x^{2}y+7x)y^{\prime\:}=0
x^2y^{''}+2xy^'-2=0	x^{2}y^{\prime\:\prime\:}+2xy^{\prime\:}-2=0
derivative of y^2-x^2	\frac{d}{dx}(y^{2}-x^{2})
(\partial)/(\partial x)(x^{0.25}y^{0.5})	\frac{\partial\:}{\partial\:x}(x^{0.25}y^{0.5})
(dy)/(dx)=x-3	\frac{dy}{dx}=x-3
integral of 7tan^3(x)sec^3(x)	\int\:7\tan^{3}(x)\sec^{3}(x)dx
integral of x(2x+1)^2	\int\:x(2x+1)^{2}dx
tangent of f(x)=x^2+4,(4,20)	tangent\:f(x)=x^{2}+4,(4,20)
limit as x approaches 2-of e^{1/(x-2)}	\lim\:_{x\to\:2-}(e^{\frac{1}{x-2}})
y^'=y(1/x-y)	y^{\prime\:}=y(\frac{1}{x}-y)
area y=x^2-4x-5,y=2x-5	area\:y=x^{2}-4x-5,y=2x-5
integral from 2.25 to 2.75 of 2	\int\:_{2.25}^{2.75}2dx
derivative of arctan(3x^2-x)	\frac{d}{dx}(\arctan(3x^{2}-x))
integral from-infinity to 1 of 1/(x^2)	\int\:_{-\infty\:}^{1}\frac{1}{x^{2}}dx
integral from 0 to 6 of pi(-x^2+6x)	\int\:_{0}^{6}π(-x^{2}+6x)dx
y^{'''}=4t^3+t	y^{\prime\:\prime\:\prime\:}=4t^{3}+t
integral of yze^y+2y	\int\:yze^{y}+2ydy
limit as x approaches 0 of (1-cos(3x))/x	\lim\:_{x\to\:0}(\frac{1-\cos(3x)}{x})
implicit (dy)/(dx),9e^{xy}+4x^2-2y^2=36	implicit\:\frac{dy}{dx},9e^{xy}+4x^{2}-2y^{2}=36
derivative of ln(sqrt((4x+1)/(x^2-2)))	derivative\:\ln(\sqrt{\frac{4x+1}{x^{2}-2}})
integral of (2-sin(x))/(2+cos(x))	\int\:\frac{2-\sin(x)}{2+\cos(x)}dx
derivative of cos(3x)	derivative\:\cos(3x)
integral of 60	\int\:60dx
integral of x^4sqrt(x+1)	\int\:x^{4}\sqrt{x+1}dx
derivative of f(x)=(3x+1)^2	derivative\:f(x)=(3x+1)^{2}
integral from 0 to 2 of integral from 3y to 6 of 5e^{x^2}	\int\:_{0}^{2}\int\:_{3y}^{6}5e^{x^{2}}dxdy
integral of 3xcos(5x)	\int\:3x\cos(5x)dx
integral of (4x+6)/(x^2+1)	\int\:\frac{4x+6}{x^{2}+1}dx
maclaurin (4x^2)(e^{-4x})	maclaurin\:(4x^{2})(e^{-4x})
integral of (1/x-3/(x^2+1))	\int\:(\frac{1}{x}-\frac{3}{x^{2}+1})dx
integral of (x^2-9x+5)	\int\:(x^{2}-9x+5)dx
limit as x approaches+1 of x^2	\lim\:_{x\to\:+1}(x^{2})
slope of (-6x^2-4x+4)/((3x^2+2)^2)	slope\:\frac{-6x^{2}-4x+4}{(3x^{2}+2)^{2}}
integral of (sin(y))/(cos^2(y))	\int\:\frac{\sin(y)}{\cos^{2}(y)}dy
limit as x approaches 2 of 1/3	\lim\:_{x\to\:2}(\frac{1}{3})
taylor x^{9/6},7	taylor\:x^{\frac{9}{6}},7
integral of-2e^{-3cos(3x)}sin(3x)	\int\:-2e^{-3\cos(3x)}\sin(3x)dx
(\partial)/(\partial x)(e^{p(x)}(p(x)+p(x)sqrt(p(x))))	\frac{\partial\:}{\partial\:x}(e^{p(x)}(p(x)+p(x)\sqrt{p(x)}))
integral of e^{ax+b}	\int\:e^{ax+b}dx
d/(dt)(7cos^3(t))	\frac{d}{dt}(7\cos^{3}(t))
integral of (4cos^2(x))	\int\:(4\cos^{2}(x))dx
derivative of e^{e^{-x}}	derivative\:e^{e^{-x}}
integral of cos(3pit)	\int\:\cos(3πt)dt
integral of 1-3/y	\int\:1-\frac{3}{y}dy
f(x)=-8sin(x)	f(x)=-8\sin(x)
derivative of (1/(y^2)-7/(y^4))(y+9y^3)	derivative\:(\frac{1}{y^{2}}-\frac{7}{y^{4}})(y+9y^{3})
limit as x approaches 3 of 2x-3	\lim\:_{x\to\:3}(2x-3)
2y^{''}+33y=0	2y^{\prime\:\prime\:}+33y=0
limit as x approaches 1 of \sqrt[3]{x}	\lim\:_{x\to\:1}(\sqrt[3]{x})
sum from k=1 to infinity of ((-1)^k)/k	\sum\:_{k=1}^{\infty\:}\frac{(-1)^{k}}{k}
derivative of (6x+5^{1.5})	\frac{d}{dx}((6x+5)^{1.5})
integral from-1 to 3 of (3x^2-2x+1)	\int\:_{-1}^{3}(3x^{2}-2x+1)dx
inverse oflaplace 3/(s^2-1)	inverselaplace\:\frac{3}{s^{2}-1}
limit as x approaches+(-2) of-2	\lim\:_{x\to\:+(-2)}(-2)
derivative of e^{x^{1/3}}	\frac{d}{dx}(e^{x^{\frac{1}{3}}})
integral from 2 to 3 of (35)/(sqrt(3-x))	\int\:_{2}^{3}\frac{35}{\sqrt{3-x}}dx

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