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Popular Calculus Problems

(\partial)/(\partial y)(4x(4+y)^{-1})	\frac{\partial\:}{\partial\:y}(4x(4+y)^{-1})
derivative of (6x)/(x+5)	derivative\:\frac{6x}{x+5}
limit as x approaches 8 of ((x-8))/(x-8)	\lim\:_{x\to\:8}(\frac{(x-8)}{x-8})
integral from 0 to 0.5 of 3000x	\int\:_{0}^{0.5}3000xdx
derivative of x^2sec(x)	\frac{d}{dx}(x^{2}\sec(x))
derivative of e^{2/3 x}	\frac{d}{dx}(e^{\frac{2}{3}x})
integral of ye^{yx}	\int\:ye^{yx}dx
integral of 4/(sqrt(u))	\int\:\frac{4}{\sqrt{u}}du
limit as x approaches infinity of k^xc	\lim\:_{x\to\:\infty\:}(k^{x}c)
integral of e^{5x^5}	\int\:e^{5x^{5}}dx
integral from-1 to 3 of (3x+1)	\int\:_{-1}^{3}(3x+1)dx
integral of sin(2pi)t	\int\:\sin(2π)tdt
tangent of f(x)= 1/(sqrt(x)),\at x= 1/16	tangent\:f(x)=\frac{1}{\sqrt{x}},\at\:x=\frac{1}{16}
tangent of x^2+4x-5	tangent\:x^{2}+4x-5
(dy)/(dx)=((x-1))/((y-1))	\frac{dy}{dx}=\frac{(x-1)}{(y-1)}
integral from 0 to 0.1 of xarctan(4x)	\int\:_{0}^{0.1}x\arctan(4x)dx
(dy)/(dt)=(8ty)/(t^2+1)	\frac{dy}{dt}=\frac{8ty}{t^{2}+1}
y^'=1-t+y^2-ty^2	y^{\prime\:}=1-t+y^{2}-ty^{2}
derivative of-7sin(x)	\frac{d}{dx}(-7\sin(x))
integral of 1 (x^2y)	\int\:\frac{d}{1}(x^{2}y)dx
x(dy)/(dx)+2y=3x	x\frac{dy}{dx}+2y=3x
derivative of cos(2x*sin(2x))	\frac{d}{dx}(\cos(2x)\cdot\:\sin(2x))
integral of 6/(x^5)	\int\:\frac{6}{x^{5}}dx
limit as x approaches-7-of x^2+4/(x+7)	\lim\:_{x\to\:-7-}(x^{2}+\frac{4}{x+7})
limit as x approaches 2 of 3x^2-4x+6	\lim\:_{x\to\:2}(3x^{2}-4x+6)
(\partial)/(\partial x)(ln(ln(x)))	\frac{\partial\:}{\partial\:x}(\ln(\ln(x)))
y^'=8x+y	y^{\prime\:}=8x+y
tangent of y=6sqrt(x),(9,18)	tangent\:y=6\sqrt{x},(9,18)
(\partial)/(\partial x)(yarctan(x))	\frac{\partial\:}{\partial\:x}(y\arctan(x))
limit as x approaches 0 of (sin(x))/(2x)	\lim\:_{x\to\:0}(\frac{\sin(x)}{2x})
derivative of 2cos(x+2xsin(x))	\frac{d}{dx}(2\cos(x)+2x\sin(x))
(dy)/(dx)+y=2x^2	\frac{dy}{dx}+y=2x^{2}
integral of (4x+5)	\int\:(4x+5)dx
derivative of arcsin(1/(x^5))	\frac{d}{dx}(\arcsin(\frac{1}{x^{5}}))
derivative of (1-e^z)(z+e^z)	derivative\:(1-e^{z})(z+e^{z})
y^'=((y^2+x^2))/(2xy)	y^{\prime\:}=\frac{(y^{2}+x^{2})}{2xy}
tangent of f(x)=sin(x)+1/2 ,\at (x=0)	tangent\:f(x)=\sin(x)+\frac{1}{2},\at\:(x=0)
integral from 1 to 5 of 9sqrt(3v+1)	\int\:_{1}^{5}9\sqrt{3v+1}dv
derivative of cos(2x+2xsin(2x))	\frac{d}{dx}(\cos(2x)+2x\sin(2x))
(dx)/(dt)=3x(8-x)	\frac{dx}{dt}=3x(8-x)
derivative of 60x^4-160x^3+120x^2-20	\frac{d}{dx}(60x^{4}-160x^{3}+120x^{2}-20)
derivative of (11x^2-22x+22e^x)	\frac{d}{dx}((11x^{2}-22x+22)e^{x})
integral of 3sqrt(4x-7)	\int\:3\sqrt{4x-7}dx
(\partial)/(\partial y)(ln(x^2+y^2)-z)	\frac{\partial\:}{\partial\:y}(\ln(x^{2}+y^{2})-z)
(2+y)dx-(3-x)dy=0	(2+y)dx-(3-x)dy=0
(dy)/(dx)=(2xy)/(x^2-y^2)	\frac{dy}{dx}=\frac{2xy}{x^{2}-y^{2}}
integral of 7/(x^5)+8e^{2x}-4x	\int\:\frac{7}{x^{5}}+8e^{2x}-4xdx
derivative of (x^2-4/(x+2))	\frac{d}{dx}(\frac{x^{2}-4}{x+2})
derivative of 3ln\|x-e^x\|	\frac{d}{dx}(3\ln\left\|x-e^{x}\right\|)
integral of x^2*(x-5)+sqrt(7-x)	\int\:x^{2}\cdot\:(x-5)+\sqrt{7-x}dx
integral of-4e^x	\int\:-4e^{x}dx
integral from 0 to 2 of 2pix(3x(x-2)^2)	\int\:_{0}^{2}2πx(3x(x-2)^{2})dx
sum from n=1 to infinity of (2n)/(3n-1)	\sum\:_{n=1}^{\infty\:}\frac{2n}{3n-1}
derivative of (3a/(4x^5))	\frac{d}{dx}(\frac{3a}{4x^{5}})
derivative of (x^2+4x)/((2+x)^2)	derivative\:\frac{x^{2}+4x}{(2+x)^{2}}
maclaurin ln(1-2x)	maclaurin\:\ln(1-2x)
integral of (2x+4)^3	\int\:(2x+4)^{3}dx
(\partial)/(\partial y)(x^{6y})	\frac{\partial\:}{\partial\:y}(x^{6y})
y^{''}+y^'-6y=0,y(0)=1,y^'(0)=k	y^{\prime\:\prime\:}+y^{\prime\:}-6y=0,y(0)=1,y^{\prime\:}(0)=k
(1+3/y+x)((dy)/(dx))+y= 3/x-1	(1+\frac{3}{y}+x)(\frac{dy}{dx})+y=\frac{3}{x}-1
slope of (9,-10),(-10,3)	slope\:(9,-10),(-10,3)
(\partial)/(\partial x)(x^5+4^y+x^y)	\frac{\partial\:}{\partial\:x}(x^{5}+4^{y}+x^{y})
limit as x approaches infinity of 4	\lim\:_{x\to\:\infty\:}(4)
integral from 0 to 9 of 2-sqrt(x)	\int\:_{0}^{9}2-\sqrt{x}dx
integral from-1 to 1 of (x^2-x-1)	\int\:_{-1}^{1}(x^{2}-x-1)dx
integral of t^3e^{-st}	\int\:t^{3}e^{-st}dt
integral of ((3-5x))/(sqrt(9-5x^2))	\int\:\frac{(3-5x)}{\sqrt{9-5x^{2}}}dx
limit as x approaches-6 of \|x+6\|	\lim\:_{x\to\:-6}(\left\|x+6\right\|)
expand \sqrt[3]{7x^2+7x+5}*(5x-3)	expand\:\sqrt[3]{7x^{2}+7x+5}\cdot\:(5x-3)
integral of x*sqrt(x+1)	\int\:x\cdot\:\sqrt{x+1}dx
integral of 1/(3cos(5x-pi/4))	\int\:\frac{1}{3\cos(5x-\frac{π}{4})}dx
derivative of (x^{ln(x)})	\frac{d}{dx}((x)^{\ln(x)})
integral of arctan(y)	\int\:\arctan(y)dy
tangent of f(x)=x^4+5e^x,(0,5)	tangent\:f(x)=x^{4}+5e^{x},(0,5)
cos^2(x)sin(x)((dy)/(dx))+(cos^3(x))y=1	\cos^{2}(x)\sin(x)(\frac{dy}{dx})+(\cos^{3}(x))y=1
limit as x approaches 0 of x^n*cos(3/x)	\lim\:_{x\to\:0}(x^{n}\cdot\:\cos(\frac{3}{x}))
integral of (sqrt(4-9x))/x	\int\:\frac{\sqrt{4-9x}}{x}dx
derivative of y=(x^2)/(1+sqrt(x))	derivative\:y=\frac{x^{2}}{1+\sqrt{x}}
limit as x approaches 0 of (2x)/(x^2+1)	\lim\:_{x\to\:0}(\frac{2x}{x^{2}+1})
integral of ((sin(x))/x)	\int\:(\frac{\sin(x)}{x})dx
(\partial)/(\partial x)(2x-3yz)	\frac{\partial\:}{\partial\:x}(2x-3yz)
(dy)/(dt)=-\sqrt[3]{y}	\frac{dy}{dt}=-\sqrt[3]{y}
integral from 0 to 1 of (7x^e+2e^x)	\int\:_{0}^{1}(7x^{e}+2e^{x})dx
(dy)/(dx)=xsqrt(x-27)	\frac{dy}{dx}=x\sqrt{x-27}
tangent of 9x-6sqrt(x),\at x=1	tangent\:9x-6\sqrt{x},\at\:x=1
integral of csc^4(x)cot^4(x)	\int\:\csc^{4}(x)\cot^{4}(x)dx
limit as x approaches 0 of (2x+1)^{1/x}	\lim\:_{x\to\:0}((2x+1)^{\frac{1}{x}})
derivative of x^3-6x^2-10x	\frac{d}{dx}(x^{3}-6x^{2}-10x)
derivative of 5cot(2/x)	\frac{d}{dx}(5\cot(\frac{2}{x}))
integral of 2^{cos(x)}sin(x)	\int\:2^{\cos(x)}\sin(x)dx
integral from 0 to pi/4 of tan(x)	\int\:_{0}^{\frac{π}{4}}\tan(x)dx
inverse oflaplace 8/(3s^2+12)+3/(s^2-49)	inverselaplace\:\frac{8}{3s^{2}+12}+\frac{3}{s^{2}-49}
integral of sqrt(1+64x^2)	\int\:\sqrt{1+64x^{2}}dx
integral of e^2cos(x)	\int\:e^{2}\cos(x)dx
inverse oflaplace 4/(s^4+4)	inverselaplace\:\frac{4}{s^{4}+4}
integral of 1/(u+1)	\int\:\frac{1}{u+1}du
derivative of sin(9x+sin^2(9x))	\frac{d}{dx}(\sin(9x)+\sin^{2}(9x))
integral of (2x+3)^{10}	\int\:(2x+3)^{10}dx
y^{''}+9y^'+20y=0	y^{\prime\:\prime\:}+9y^{\prime\:}+20y=0
area 4+sqrt(x),4+1/5 x	area\:4+\sqrt{x},4+\frac{1}{5}x

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