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Popular Calculus Problems

integral of (e^{2x})/(e^{4x)+4}	\int\:\frac{e^{2x}}{e^{4x}+4}dx
integral from 1 to infinity of e^{-5x}	\int\:_{1}^{\infty\:}e^{-5x}dx
derivative of 3-4sin(2x+pi/4)	\frac{d}{dx}(3-4\sin(2x+\frac{π}{4}))
derivative of e^{0.4x}*sin(0.2x)	\frac{d}{dx}(e^{0.4x}\cdot\:\sin(0.2x))
(\partial)/(\partial x)(x^2+2y^2+7z^2)	\frac{\partial\:}{\partial\:x}(x^{2}+2y^{2}+7z^{2})
integral of 1/(16+9x^2)	\int\:\frac{1}{16+9x^{2}}dx
derivative of (17)/x	derivative\:\frac{17}{x}
integral of (x^3+2x)	\int\:(x^{3}+2x)dx
y^{''}+3(y^')^2=-17	y^{\prime\:\prime\:}+3(y^{\prime\:})^{2}=-17
integral of-3e^{-3x}	\int\:-3e^{-3x}dx
derivative of 7sin(x+7xcos(x))	\frac{d}{dx}(7\sin(x)+7x\cos(x))
integral of-3y^2	\int\:-3y^{2}dy
integral of t/((1-t^2)^{3/2)}	\int\:\frac{t}{(1-t^{2})^{\frac{3}{2}}}dt
(\partial)/(\partial x)((x-1)^2)	\frac{\partial\:}{\partial\:x}((x-1)^{2})
derivative of 3^{-x^2}	\frac{d}{dx}(3^{-x^{2}})
integral from 1 to infinity of 10e^{-5x}	\int\:_{1}^{\infty\:}10e^{-5x}dx
integral from 0 to 2 of 2-x	\int\:_{0}^{2}2-xdx
laplacetransform 10e^{-0.2t}	laplacetransform\:10e^{-0.2t}
inverse oflaplace 3/((s-7)^4)	inverselaplace\:\frac{3}{(s-7)^{4}}
integral from-infinity to 0 of 6^x	\int\:_{-\infty\:}^{0}6^{x}dx
2xy-9x^2+(2y+x^2+1)(dy)/(dx)=0	2xy-9x^{2}+(2y+x^{2}+1)\frac{dy}{dx}=0
integral of (2x)/(x^2+x+1)	\int\:\frac{2x}{x^{2}+x+1}dx
integral of 1/(xsqrt(4x^2-25))	\int\:\frac{1}{x\sqrt{4x^{2}-25}}dx
4(dx)/(dt)+8x=16e^{-3t},x(0)=10	4\frac{dx}{dt}+8x=16e^{-3t},x(0)=10
integral of-1/((x+2)^2)	\int\:-\frac{1}{(x+2)^{2}}dx
xy^'=4y	xy^{\prime\:}=4y
integral of 1/(49e^{-4x)+e^{4x}}	\int\:\frac{1}{49e^{-4x}+e^{4x}}dx
taylor ln(1+4x),0	taylor\:\ln(1+4x),0
inverse oflaplace (25)/(s^2+6s+25)	inverselaplace\:\frac{25}{s^{2}+6s+25}
integral of arctan(8t)	\int\:\arctan(8t)dt
(3xy+3y-4)dx+(x+1)^2dy=0	(3xy+3y-4)dx+(x+1)^{2}dy=0
sum from n=0 to infinity of ne^{-8n}	\sum\:_{n=0}^{\infty\:}ne^{-8n}
(\partial)/(\partial x)(e^{2x-3y})	\frac{\partial\:}{\partial\:x}(e^{2x-3y})
derivative of ((x^2+3/(x^2-3))^4)	\frac{d}{dx}((\frac{x^{2}+3}{x^{2}-3})^{4})
(\partial)/(\partial x)(x/A)	\frac{\partial\:}{\partial\:x}(\frac{x}{A})
derivative of acos^3(t)	\frac{d}{dx}(a\cos^{3}(t))
limit as n approaches infinity of n-1/n	\lim\:_{n\to\:\infty\:}(n-\frac{1}{n})
integral of x/(x+9)	\int\:\frac{x}{x+9}dx
integral of 37tan^5(x)sec^4(x)	\int\:37\tan^{5}(x)\sec^{4}(x)dx
integral of (2x)/(cos^2(x))	\int\:\frac{2x}{\cos^{2}(x)}dx
limit as x approaches 0-of-x+7	\lim\:_{x\to\:0-}(-x+7)
inverse oflaplace 4/(s(s+2))	inverselaplace\:\frac{4}{s(s+2)}
integral of 9cot^4(x)	\int\:9\cot^{4}(x)dx
inverse oflaplace 1/(s^2(s+1))	inverselaplace\:\frac{1}{s^{2}(s+1)}
integral of (t^3)/(sqrt(t^2+9))	\int\:\frac{t^{3}}{\sqrt{t^{2}+9}}dt
y^{'''}-y^{''}+4y^'-4y=0	y^{\prime\:\prime\:\prime\:}-y^{\prime\:\prime\:}+4y^{\prime\:}-4y=0
derivative of (sqrt(x)-2/(sqrt(x)+2))	\frac{d}{dx}(\frac{\sqrt{x}-2}{\sqrt{x}+2})
limit as x approaches-2 of (\|x+2\|)/x	\lim\:_{x\to\:-2}(\frac{\left\|x+2\right\|}{x})
integral of e^{-0.04x}	\int\:e^{-0.04x}dx
limit as x approaches 500 of e^x	\lim\:_{x\to\:500}(e^{x})
integral from 2 to infinity of 1/(x^2+x)	\int\:_{2}^{\infty\:}\frac{1}{x^{2}+x}dx
derivative of x^2log_{e}(x)	\frac{d}{dx}(x^{2}\log_{e}(x))
integral of (x-3)/(x^2+49)	\int\:\frac{x-3}{x^{2}+49}dx
limit as x approaches 0 of x/(arctan(x))	\lim\:_{x\to\:0}(\frac{x}{\arctan(x)})
tangent of 4/(1+x^2)	tangent\:\frac{4}{1+x^{2}}
f(x)=cos(x)-xsin(x)	f(x)=\cos(x)-x\sin(x)
derivative of e^x(x^2-3x+1)	\frac{d}{dx}(e^{x}(x^{2}-3x+1))
integral of (x^2-2x)^3	\int\:(x^{2}-2x)^{3}dx
tangent of f(t)= 8/(t^2),\at t=1	tangent\:f(t)=\frac{8}{t^{2}},\at\:t=1
derivative of (2x-7^{-1}(x+5))	\frac{d}{dx}((2x-7)^{-1}(x+5))
derivative of y=(2x+3)/(5x-1)	derivative\:y=\frac{2x+3}{5x-1}
derivative of y=-2(x+1)^2-4	derivative\:y=-2(x+1)^{2}-4
limit as x approaches 4+of 3/(x^2-16)	\lim\:_{x\to\:4+}(\frac{3}{x^{2}-16})
(\partial)/(\partial x)(4e^{xy+2})	\frac{\partial\:}{\partial\:x}(4e^{xy+2})
inverse oflaplace ((2s+6))/(s^2+9)	inverselaplace\:\frac{(2s+6)}{s^{2}+9}
derivative of f(x)=-8x^3-52x^2+3	derivative\:f(x)=-8x^{3}-52x^{2}+3
(dy)/(dx)=2y+x	\frac{dy}{dx}=2y+x
integral of cos^3(x/(17))	\int\:\cos^{3}(\frac{x}{17})dx
implicit (dy)/(dx),sin(xy^3)=y^3	implicit\:\frac{dy}{dx},\sin(xy^{3})=y^{3}
integral of (sqrt(1-x^2))/4	\int\:\frac{\sqrt{1-x^{2}}}{4}dx
tangent of cos^3(x),\at x=0	tangent\:\cos^{3}(x),\at\:x=0
derivative of (2x^3)/3-12x	derivative\:\frac{2x^{3}}{3}-12x
derivative of (x^2/(x+5))	\frac{d}{dx}(\frac{x^{2}}{x+5})
derivative of f(x)=5x^4	derivative\:f(x)=5x^{4}
limit as x approaches 0 of (2+x)/(2-x)	\lim\:_{x\to\:0}(\frac{2+x}{2-x})
derivative of x(2x-1(3x+2))	\frac{d}{dx}(x(2x-1)(3x+2))
integral of (tan^3(ln(x)))/(9x)	\int\:\frac{\tan^{3}(\ln(x))}{9x}dx
derivative of 5-6x	\frac{d}{dx}(5-6x)
integral from 1 to 5e of 1/x	\int\:_{1}^{5e}\frac{1}{x}dx
sum from n=1 to infinity of n/(5n+1)	\sum\:_{n=1}^{\infty\:}\frac{n}{5n+1}
simplify ln(k/l)	simplify\:\ln(\frac{k}{l})
integral of e^te^t	\int\:e^{t}e^{t}dt
derivative of 7csc(x^5)	\frac{d}{dx}(7\csc(x^{5}))
limit as x approaches-4 of 4+x	\lim\:_{x\to\:-4}(4+x)
y^{''}+y= 1/4 cos(3t)	y^{\prime\:\prime\:}+y=\frac{1}{4}\cos(3t)
integral from 1 to 4 of sqrt(16x^5)	\int\:_{1}^{4}\sqrt{16x^{5}}dx
(dy)/(dx)=-2x(y-3)	\frac{dy}{dx}=-2x(y-3)
integral of (1/(\sqrt[5]{x^2)}+1/x-x)	\int\:(\frac{1}{\sqrt[5]{x^{2}}}+\frac{1}{x}-x)dx
y^{''}-4y^'+3y=x,y(0)=1,y^'(0)=0	y^{\prime\:\prime\:}-4y^{\prime\:}+3y=x,y(0)=1,y^{\prime\:}(0)=0
integral from 1 to e of 8/z	\int\:_{1}^{e}\frac{8}{z}
integral from-1 to 1 of 1	\int\:_{-1}^{1}1dx
integral of 1/(sqrt(x^2-1)-x)	\int\:\frac{1}{\sqrt{x^{2}-1}-x}dx
integral of x^3sqrt(81-x^2)	\int\:x^{3}\sqrt{81-x^{2}}dx
(\partial)/(\partial x)(x+ln(y))	\frac{\partial\:}{\partial\:x}(x+\ln(y))
y^'-y=6te^{2t},y(0)=1	y^{\prime\:}-y=6te^{2t},y(0)=1
limit as x approaches 0 of x^2*e^{-x}	\lim\:_{x\to\:0}(x^{2}\cdot\:e^{-x})
derivative of 1/3 x^{3/2}-x^{1/2}	\frac{d}{dx}(\frac{1}{3}x^{\frac{3}{2}}-x^{\frac{1}{2}})
(dy)/(dx)+6y=9	\frac{dy}{dx}+6y=9
integral from 0 to 5 of x^2(x-5)^4	\int\:_{0}^{5}x^{2}(x-5)^{4}dx
limit as x approaches 2 of (x-2)/(x^3-8)	\lim\:_{x\to\:2}(\frac{x-2}{x^{3}-8})

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