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y^'+5y=2sin(e^{5x})	y^{\prime\:}+5y=2\sin(e^{5x})
integral from 2 to 6 of t^3ln(5x)	\int\:_{2}^{6}t^{3}\ln(5x)dx
inverse oflaplace 1/((s^2-1))	inverselaplace\:\frac{1}{(s^{2}-1)}
(\partial)/(\partial x)(7+xln(xy-5))	\frac{\partial\:}{\partial\:x}(7+x\ln(xy-5))
d/(dy)(2y)	\frac{d}{dy}(2y)
integral from 0 to x of ylog_{10}(y)	\int\:_{0}^{x}y\log_{10}(y)dy
sum from n=3 to infinity of (4^n)/(7^n)	\sum\:_{n=3}^{\infty\:}\frac{4^{n}}{7^{n}}
(dy)/(dx)=4x^3y^2	\frac{dy}{dx}=4x^{3}y^{2}
integral of x^4y^3	\int\:x^{4}y^{3}dy
area x=9y^2,x=2+7y^2	area\:x=9y^{2},x=2+7y^{2}
inverse oflaplace x^{-1/2}	inverselaplace\:x^{-\frac{1}{2}}
integral from-1 to 1 of (-x^2+1)^2	\int\:_{-1}^{1}(-x^{2}+1)^{2}dx
integral of-32x+38	\int\:-32x+38dx
integral from-1/2 to 1/2 of 2arccos(2x)	\int\:_{-\frac{1}{2}}^{\frac{1}{2}}2\arccos(2x)dx
(d^2)/(dx^2)(x^3-3/x)	\frac{d^{2}}{dx^{2}}(x^{3}-\frac{3}{x})
derivative of arccot(x^3)	\frac{d}{dx}(\arccot(x^{3}))
integral of 8x+1-9e^x	\int\:8x+1-9e^{x}dx
limit as x approaches 0 of (x+1) 3/x	\lim\:_{x\to\:0}((x+1)\frac{3}{x})
tangent of f(x)=x^3-3x+2,(4,54)	tangent\:f(x)=x^{3}-3x+2,(4,54)
integral from 0 to 2 of (15sqrt(4x+1))	\int\:_{0}^{2}(15\sqrt{4x+1})dx
limit as x approaches 2 of (x-3)/(x+4)	\lim\:_{x\to\:2}(\frac{x-3}{x+4})
integral of xcos(7pi)x^2	\int\:x\cos(7π)x^{2}dx
derivative of f(r)= 3/(r^3)	derivative\:f(r)=\frac{3}{r^{3}}
sum from n=1 to infinity of (x^n)/(n3^n)	\sum\:_{n=1}^{\infty\:}\frac{x^{n}}{n3^{n}}
integral of 3x^5+4x	\int\:3x^{5}+4xdx
derivative of f(x)= 4/(x+1)	derivative\:f(x)=\frac{4}{x+1}
derivative of ((2x+1^5)/(sqrt(x^2+1)))	\frac{d}{dx}(\frac{(2x+1)^{5}}{\sqrt{x^{2}+1}})
tangent of f(x)=x+4/x ,\at x=4	tangent\:f(x)=x+\frac{4}{x},\at\:x=4
d/(dz)(ln(sqrt((c^2-z^2)/(c^2+z^2))))	\frac{d}{dz}(\ln(\sqrt{\frac{c^{2}-z^{2}}{c^{2}+z^{2}}}))
y^{''}+4y^'+6y=1+e^{-t},y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}+4y^{\prime\:}+6y=1+e^{-t},y(0)=0,y^{\prime\:}(0)=0
(\partial)/(\partial x)((4x+7y)^{10})	\frac{\partial\:}{\partial\:x}((4x+7y)^{10})
integral of x^2+x+2	\int\:x^{2}+x+2dx
integral of (13t^7+t^5)/(t^{3/2)}	\int\:\frac{13t^{7}+t^{5}}{t^{\frac{3}{2}}}dt
limit as x approaches 0 of x^{x^2}	\lim\:_{x\to\:0}(x^{x^{2}})
y^'+0.15y=1	y^{\prime\:}+0.15y=1
(2x^2+y)dx+(x^2y-x)dy=0	(2x^{2}+y)dx+(x^{2}y-x)dy=0
(dy)/(dx)=(9x)/(5y)	\frac{dy}{dx}=\frac{9x}{5y}
integral of 1/(2x^2+8)	\int\:\frac{1}{2x^{2}+8}dx
limit as x approaches 0-of 1/x+1/(\|x\|)	\lim\:_{x\to\:0-}(\frac{1}{x}+\frac{1}{\left\|x\right\|})
(dy)/(dx)= x/(6y)	\frac{dy}{dx}=\frac{x}{6y}
(\partial)/(\partial y)(x^4-x^2-2xy+y^2+1)	\frac{\partial\:}{\partial\:y}(x^{4}-x^{2}-2xy+y^{2}+1)
derivative of e^{4e^x}	\frac{d}{dx}(e^{4e^{x}})
integral of 1/(xsqrt(x^4+1))	\int\:\frac{1}{x\sqrt{x^{4}+1}}dx
integral of (2x)/(sqrt(16x^4-9))	\int\:\frac{2x}{\sqrt{16x^{4}-9}}dx
derivative of 2xe^xcos(x)	derivative\:2xe^{x}\cos(x)
derivative of ln((x^{1/2}/3))	\frac{d}{dx}(\ln(\frac{x^{\frac{1}{2}}}{3}))
integral of (x^2-3)	\int\:(x^{2}-3)dx
tangent of f(x)=ln(x^3)	tangent\:f(x)=\ln(x^{3})
laplacetransform 3e^{3t}	laplacetransform\:3e^{3t}
derivative of ln((4x^2/(x-6)))	\frac{d}{dx}(\ln(\frac{4x^{2}}{x-6}))
integral of e^usin(u)	\int\:e^{u}\sin(u)du
inverse oflaplace (s+2)/(s^2+s)	inverselaplace\:\frac{s+2}{s^{2}+s}
integral of sin^7(2x)cos(2x)	\int\:\sin^{7}(2x)\cos(2x)dx
integral of 1/(x^2-2x+3)	\int\:\frac{1}{x^{2}-2x+3}dx
(dy)/(dx)=3y+a	\frac{dy}{dx}=3y+a
derivative of f(x)=13440(2x+5)^3	derivative\:f(x)=13440(2x+5)^{3}
integral of (3x-1)/(xsqrt(x^2-25))	\int\:\frac{3x-1}{x\sqrt{x^{2}-25}}dx
derivative of ln(3x-2)	\frac{d}{dx}(\ln(3x-2))
derivative of 2/(x^3ln(10))	\frac{d}{dx}(\frac{2}{x^{3}\ln(10)})
(\partial)/(\partial y)(y-x)	\frac{\partial\:}{\partial\:y}(y-x)
area x=y,y^2-2y=x	area\:x=y,y^{2}-2y=x
derivative of y=3x^2+2	derivative\:y=3x^{2}+2
integral of (1/2-1/2 cos(2θ-pi/4))	\int\:(\frac{1}{2}-\frac{1}{2}\cos(2θ-\frac{π}{4}))dθ
laplacetransform 1+0.2t	laplacetransform\:1+0.2t
(d^4)/(dx^4)(8e^{-4x})	\frac{d^{4}}{dx^{4}}(8e^{-4x})
(dy)/(dx)=y(3-y),y(0.2)=8	\frac{dy}{dx}=y(3-y),y(0.2)=8
integral of 6x^2e^{2x}	\int\:6x^{2}e^{2x}dx
derivative of e^{sinh(x})	\frac{d}{dx}(e^{\sinh(x)})
integral of (2x-1)/(sqrt(x^2-1))	\int\:\frac{2x-1}{\sqrt{x^{2}-1}}dx
sum from n=0 to infinity of 1^n	\sum\:_{n=0}^{\infty\:}1^{n}
integral of e^{-ax}sin(x)	\int\:e^{-ax}\sin(x)dx
(2sec^2(x)tan(x))^'	(2\sec^{2}(x)\tan(x))^{\prime\:}
integral of 1/((x+2)sqrt(x^2+4x-12))	\int\:\frac{1}{(x+2)\sqrt{x^{2}+4x-12}}dx
maclaurin 1/(1+x^2)	maclaurin\:\frac{1}{1+x^{2}}
limit as x approaches 0-of 6x-1	\lim\:_{x\to\:0-}(6x-1)
inverse oflaplace s/((s+1)(s^2-s+1))	inverselaplace\:\frac{s}{(s+1)(s^{2}-s+1)}
limit as x approaches 0 of (x+\|x\|)/x	\lim\:_{x\to\:0}(\frac{x+\left\|x\right\|}{x})
derivative of 5x+7	\frac{d}{dx}(5x+7)
y^'+2ty=0	y^{\prime\:}+2ty=0
limit as x approaches 0 of (ln(e+x)-1)/x	\lim\:_{x\to\:0}(\frac{\ln(e+x)-1}{x})
ty^'=t^2-t-2y	ty^{\prime\:}=t^{2}-t-2y
derivative of (x^3/(x-2))	\frac{d}{dx}(\frac{x^{3}}{x-2})
integral of 9sin^3(x)cos^5(x)	\int\:9\sin^{3}(x)\cos^{5}(x)dx
derivative of f(x)=e^x-7x^6	derivative\:f(x)=e^{x}-7x^{6}
integral of csc(θ)+3	\int\:\csc(θ)+3dθ
(dy)/(dx)+9y-4e^{-2x}=0	\frac{dy}{dx}+9y-4e^{-2x}=0
derivative of \sqrt[3]{1+5x}	derivative\:\sqrt[3]{1+5x}
integral of 1/((4x^2-24x+27)^{3/2)}	\int\:\frac{1}{(4x^{2}-24x+27)^{\frac{3}{2}}}dx
integral of 1/(sqrt(5x)(1+5x))	\int\:\frac{1}{\sqrt{5x}(1+5x)}dx
(dy)/(dx)=(1-2/(x^2))(y-1)	\frac{dy}{dx}=(1-\frac{2}{x^{2}})(y-1)
(\partial)/(\partial y)(x^3y+xcos(y))	\frac{\partial\:}{\partial\:y}(x^{3}y+x\cos(y))
integral from-4 to 4 of sqrt(3)(16-y^2)	\int\:_{-4}^{4}\sqrt{3}(16-y^{2})dy
derivative of (2x^2+x-3/(2x+7))	\frac{d}{dx}(\frac{2x^{2}+x-3}{2x+7})
integral of x^2e^2	\int\:x^{2}e^{2}dx
tangent of f(x)=x^2+2,(3,11)	tangent\:f(x)=x^{2}+2,(3,11)
(dy)/(dx)=(3x)	\frac{dy}{dx}=(3x)
derivative of cot(4x^2(x^2-9))	\frac{d}{dx}(\cot(4x^{2})(x^{2}-9))
sum from n=1 to infinity of (n+4)/(3n+2)	\sum\:_{n=1}^{\infty\:}\frac{n+4}{3n+2}
integral of 1/(sqrt(x^2-4x))	\int\:\frac{1}{\sqrt{x^{2}-4x}}dx
integral of 1/((x^2-1)^{1/2)}	\int\:\frac{1}{(x^{2}-1)^{\frac{1}{2}}}dx

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