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taylor e^{2x}	taylor\:e^{2x}
derivative of (2x^2+1)^2	derivative\:(2x^{2}+1)^{2}
y^'+6y=0	y^{\prime\:}+6y=0
(\partial)/(\partial y)(xsin(x)+ysin(y))	\frac{\partial\:}{\partial\:y}(x\sin(x)+y\sin(y))
integral of (6sqrt(x)-\sqrt[6]{x})	\int\:(6\sqrt{x}-\sqrt[6]{x})dx
y^{''}=k^2y	y^{\prime\:\prime\:}=k^{2}y
derivative of (1-x/(2+x))	\frac{d}{dx}(\frac{1-x}{2+x})
derivative of (x+e^{2x}^3)	\frac{d}{dx}((x+e^{2x})^{3})
integral of (sec(x))^3	\int\:(\sec(x))^{3}dx
derivative of (7x)/(2^x)	derivative\:\frac{7x}{2^{x}}
slope ofintercept (-8,-4),(-6,-1)	slopeintercept\:(-8,-4),(-6,-1)
derivative of y= 4/3 x+2	derivative\:y=\frac{4}{3}x+2
limit as x approaches infinity of (+x-2^{+x})/(3^x-5)	\lim\:_{x\to\:\infty\:}(\frac{+x-2^{+x}}{3^{x}-5})
integral of 5(cos(x)+sin(x))/(sin(2x))	\int\:5\frac{\cos(x)+\sin(x)}{\sin(2x)}dx
derivative of f(x)= x/(x^2+81)	derivative\:f(x)=\frac{x}{x^{2}+81}
integral from 0 to 1 of (1-x^3)	\int\:_{0}^{1}(1-x^{3})dx
derivative of (tan(2x)^3)	\frac{d}{dx}((\tan(2x))^{3})
y^'=sqrt(1-y^2)	y^{\prime\:}=\sqrt{1-y^{2}}
derivative of (2x-7)^4(x^2+x+1)^5	derivative\:(2x-7)^{4}(x^{2}+x+1)^{5}
derivative of (9z^4+3z^2+1)(3z^3-z)	derivative\:(9z^{4}+3z^{2}+1)(3z^{3}-z)
y^'=8x+y,y(0)=4	y^{\prime\:}=8x+y,y(0)=4
(\partial)/(\partial t)(ae^{kx+wt})	\frac{\partial\:}{\partial\:t}(ae^{kx+wt})
integral of f(x)g(x)	\int\:f(x)g(x)dx
limit as x approaches infinity of x-8	\lim\:_{x\to\:\infty\:}(x-8)
integral of 5/(4+x)	\int\:\frac{5}{4+x}dx
integral of+cot^2(x)	\int\:+\cot^{2}(x)dx
integral of 2x(x^2+5)^9	\int\:2x(x^{2}+5)^{9}dx
limit as x approaches 3-of 4x^2-3x+2	\lim\:_{x\to\:3-}(4x^{2}-3x+2)
integral of 4/x	\int\:\frac{4}{x}dx
integral of t(t^2+1)^4	\int\:t(t^{2}+1)^{4}dt
sum from n=1 to infinity of cos^n(0.6)	\sum\:_{n=1}^{\infty\:}\cos^{n}(0.6)
derivative of 1/(x^3+4x^2e^{xcos(x)})	\frac{d}{dx}(\frac{1}{x^{3}+4x^{2}}e^{x\cos(x)})
taylor xe^{-x}	taylor\:xe^{-x}
limit as x approaches-5 of x-5	\lim\:_{x\to\:-5}(x-5)
area X^2-2X,(0,3)	area\:X^{2}-2X,(0,3)
derivative of (1-3x/(6+x))	\frac{d}{dx}(\frac{1-3x}{6+x})
B^'	B^{\prime\:}
tangent of y=2x^3-2x,(1,0)	tangent\:y=2x^{3}-2x,(1,0)
limit as x approaches 0 of arctan(3x)	\lim\:_{x\to\:0}(\arctan(3x))
(dx)/(dt)=3x+e^{2t}-2e^{3t}+e^{4t}	\frac{dx}{dt}=3x+e^{2t}-2e^{3t}+e^{4t}
derivative of ln((7x^2+x/(x^2)))	\frac{d}{dx}(\ln(\frac{7x^{2}+x}{x^{2}}))
derivative of y=((sqrt(x))/(5+x))	derivative\:y=(\frac{\sqrt{x}}{5+x})
derivative of e^{-2x}sin(2x)	\frac{d}{dx}(e^{-2x}\sin(2x))
integral from 0 to 1 of 1/(x^{1.5)}	\int\:_{0}^{1}\frac{1}{x^{1.5}}dx
derivative of y=x+1	derivative\:y=x+1
integral of 7x^2e^{2x}	\int\:7x^{2}e^{2x}dx
limit as x approaches-5 of (5x+4)/(x+8)	\lim\:_{x\to\:-5}(\frac{5x+4}{x+8})
derivative of (1/(y^2)-7/(y^4))(y-5y^3)	derivative\:(\frac{1}{y^{2}}-\frac{7}{y^{4}})(y-5y^{3})
(\partial)/(\partial x)(9x^2+y^2)	\frac{\partial\:}{\partial\:x}(9x^{2}+y^{2})
integral of e^{x^2}	\int\:e^{x^{2}}dx
(\partial)/(\partial x)(sqrt((x+5)/(y+2)))	\frac{\partial\:}{\partial\:x}(\sqrt{\frac{x+5}{y+2}})
integral of 1/(8x^3)	\int\:\frac{1}{8x^{3}}dx
limit as x approaches infinity of \sqrt[n]{3^n+9^n}	\lim\:_{x\to\:\infty\:}(\sqrt[n]{3^{n}+9^{n}})
integral of (x^5-x+2)/(x^2-x)	\int\:\frac{x^{5}-x+2}{x^{2}-x}dx
area y= 1/5 x^2-6/5 x+7/5 ,(-5,5)	area\:y=\frac{1}{5}x^{2}-\frac{6}{5}x+\frac{7}{5},(-5,5)
limit as x approaches-1 of e^{x-2}	\lim\:_{x\to\:-1}(e^{x-2})
integral of xsin(4-x)	\int\:x\sin(4-x)dx
integral of ln^2(x)	\int\:\ln^{2}(x)dx
y^{''}-4y^'+4y=12te^{2t}+6e^{2t}+24-12t	y^{\prime\:\prime\:}-4y^{\prime\:}+4y=12te^{2t}+6e^{2t}+24-12t
integral of 1/((DE)-(DF/G x))	\int\:\frac{1}{(D\cdot\:E)-(D\cdot\:\frac{F}{G}x)}dx
derivative of (-2x^3+2x^2^4)	\frac{d}{dx}((-2x^{3}+2x^{2})^{4})
derivative of (x+2^{-1})	\frac{d}{dx}((x+2)^{-1})
inverse oflaplace (2s+3)/(s^2-4s+20)	inverselaplace\:\frac{2s+3}{s^{2}-4s+20}
derivative of f(x)=x^2(1-2x)	derivative\:f(x)=x^{2}(1-2x)
(dy}{dx}=\frac{5x)/y	\frac{dy}{dx}=\frac{5x}{y}
derivative of \sqrt[4]{x^2+y^2}	\frac{d}{dx}(\sqrt[4]{x^{2}+y^{2}})
derivative of sqrt((x^4-x+1/(x^4+x+1)))	\frac{d}{dx}(\sqrt{\frac{x^{4}-x+1}{x^{4}+x+1}})
integral of cos(x^3-1)	\int\:\cos(x^{3}-1)dx
limit as x approaches 2 of-x^2+4x+2	\lim\:_{x\to\:2}(-x^{2}+4x+2)
integral of (-2sin(2x)+2cos(2x))	\int\:(-2\sin(2x)+2\cos(2x))dx
limit as h approaches 0 of (cos(pi/6+h)-(sqrt(3))/2)/(h)	\lim\:_{h\to\:0}(\frac{\cos(\frac{π}{6}+h)-\frac{\sqrt{3}}{2}}{h})
integral of (ln(x)+1)/(xln(x))	\int\:\frac{\ln(x)+1}{x\ln(x)}dx
integral of 19sin^2(x)cos^3(x)	\int\:19\sin^{2}(x)\cos^{3}(x)dx
derivative of ln(\sqrt[4]{(x-9)/(x+9)})	derivative\:\ln(\sqrt[4]{\frac{x-9}{x+9}})
integral of (x-3)/(x^2-7x-18)	\int\:\frac{x-3}{x^{2}-7x-18}dx
(\partial)/(\partial x)(-6e^{6y}sin(6x))	\frac{\partial\:}{\partial\:x}(-6e^{6y}\sin(6x))
(dy)/(dx)=((x-2))/(y-2)	\frac{dy}{dx}=\frac{(x-2)}{y-2}
integral of ln(x+2)	\int\:\ln(x+2)dx
5y^'-y=e^{-t}+3t	5y^{\prime\:}-y=e^{-t}+3t
integral of ((9sin^3(x)))/(cos(x))	\int\:\frac{(9\sin^{3}(x))}{\cos(x)}dx
limit as x approaches infinity of 1/(5x)	\lim\:_{x\to\:\infty\:}(\frac{1}{5x})
integral of (x*sin(x^2+1))	\int\:(x\cdot\:\sin(x^{2}+1))dx
derivative of e^{(-x^2/2})	\frac{d}{dx}(e^{\frac{-x^{2}}{2}})
derivative of 2x+(4x)/(3x-1)	derivative\:2x+\frac{4x}{3x-1}
limit as x approaches 3 of (2x+3)/(x-3)	\lim\:_{x\to\:3}(\frac{2x+3}{x-3})
derivative of 2sec(2x)	derivative\:2\sec(2x)
sum from n=1 to infinity}log_{e of (n/(n+1))	\sum\:_{n=1}^{\infty\:}\log_{e}(\frac{n}{n+1})
limit as x approaches 0 of 1/(x-x^2)-1/x	\lim\:_{x\to\:0}(\frac{1}{x-x^{2}}-\frac{1}{x})
derivative of 1+9/4 x	\frac{d}{dx}(1+\frac{9}{4}x)
derivative of (3-5xe^x(3x+2))	\frac{d}{dx}((3-5xe^{x})(3x+2))
integral of xsin(11x)	\int\:x\sin(11x)dx
integral of cot(4x)	\int\:\cot(4x)dx
derivative of sqrt(3)sin(x)	\frac{d}{dx}(\sqrt{3}\sin(x))
integral of (-x)^n	\int\:(-x)^{n}dx
integral of sec^9(x)tan^3(x)	\int\:\sec^{9}(x)\tan^{3}(x)dx
integral from 0 to pi/4 of xsec^2(x)	\int\:_{0}^{\frac{π}{4}}x\sec^{2}(x)dx
derivative of f(x)=(-4)/(sqrt(x))	derivative\:f(x)=\frac{-4}{\sqrt{x}}
sum from n=1 to infinity of ((2pi)/3)^n	\sum\:_{n=1}^{\infty\:}(\frac{2π}{3})^{n}
integral of 1/(x(x^2+2))	\int\:\frac{1}{x(x^{2}+2)}dx
integral of xcos^2(5x)	\int\:x\cos^{2}(5x)dx

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