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derivative of f(x)=2tan^2(6x)	derivative\:f(x)=2\tan^{2}(6x)
derivative of C(t)=0.0225te^{-0.0467t}	derivative\:C(t)=0.0225te^{-0.0467t}
derivative of (-11/((x-3)^2))	\frac{d}{dx}(\frac{-11}{(x-3)^{2}})
derivative of x^2*sin(x^3)	\frac{d}{dx}(x^{2}\cdot\:\sin(x^{3}))
derivative of (8e^{6x}/(5x+2))	\frac{d}{dx}(\frac{8e^{6x}}{5x+2})
integral of sqrt(1/2+(x^4)/4+1/(4x^4))	\int\:\sqrt{\frac{1}{2}+\frac{x^{4}}{4}+\frac{1}{4x^{4}}}dx
y^{''}+4y^'+4y=12t+16	y^{\prime\:\prime\:}+4y^{\prime\:}+4y=12t+16
integral from 0 to 10 of sqrt(1+16x^2)	\int\:_{0}^{10}\sqrt{1+16x^{2}}dx
integral of (3+x^2)^{3/2}	\int\:(3+x^{2})^{\frac{3}{2}}dx
limit as x approaches 5 of 2/(5-x)	\lim\:_{x\to\:5}(\frac{2}{5-x})
derivative of (1+8/x ^x)	\frac{d}{dx}((1+\frac{8}{x})^{x})
derivative of x+sqrt(1-x)	\frac{d}{dx}(x+\sqrt{1-x})
(dy)/(dt)+e^ty=-4e^t	\frac{dy}{dt}+e^{t}y=-4e^{t}
limit as x approaches 0+of (-4x^2-6x)/x	\lim\:_{x\to\:0+}(\frac{-4x^{2}-6x}{x})
f(x)= 3/4 x^8	f(x)=\frac{3}{4}x^{8}
d/(dy)(3x(5+y)^{-1})	\frac{d}{dy}(3x(5+y)^{-1})
area y=2x,y=x^2-3	area\:y=2x,y=x^{2}-3
integral of 1/(sqrt(4x^2-16x+52))	\int\:\frac{1}{\sqrt{4x^{2}-16x+52}}dx
(\partial ^2)/(\partial y^2)(y^4cos(2x))	\frac{\partial\:^{2}}{\partial\:y^{2}}(y^{4}\cos(2x))
y^'=10y	y^{\prime\:}=10y
derivative of sqrt(x)-1/7 x	\frac{d}{dx}(\sqrt{x}-\frac{1}{7}x)
(\partial)/(\partial x)((e^{-x})sin(yz))	\frac{\partial\:}{\partial\:x}((e^{-x})\sin(yz))
derivative of ycos(2x)	\frac{d}{dx}(y\cos(2x))
tangent of f(x)=x^3-3x+2	tangent\:f(x)=x^{3}-3x+2
integral of 4/(16x^2+1)	\int\:\frac{4}{16x^{2}+1}dx
integral of 2e^{2t+5}	\int\:2e^{2t+5}dt
derivative of (ln(3+e^{x^e})^e)	\frac{d}{dx}((\ln(3)+e^{x^{e}})^{e})
y^{''}+y^'-2y=9e^t-6t	y^{\prime\:\prime\:}+y^{\prime\:}-2y=9e^{t}-6t
y^'-sin(x)y=3sin(x)	y^{\prime\:}-\sin(x)y=3\sin(x)
derivative of x^2arctan(4x)	\frac{d}{dx}(x^{2}\arctan(4x))
y^{''}+8y^'+15y=0,y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}+8y^{\prime\:}+15y=0,y(0)=0,y^{\prime\:}(0)=0
limit as (x,y) approaches (0,0) of x+y	\lim\:_{(x,y)\to\:(0,0)}(x+y)
integral of 3/(sqrt(1+e^{2x))}	\int\:\frac{3}{\sqrt{1+e^{2x}}}dx
integral from 0 to 1 of x^7(1+x^8)^7	\int\:_{0}^{1}x^{7}(1+x^{8})^{7}dx
integral of (x+9)/(sqrt(1-2x-2x^2))	\int\:\frac{x+9}{\sqrt{1-2x-2x^{2}}}dx
integral from 0 to 1 of y/(e^{9y)}	\int\:_{0}^{1}\frac{y}{e^{9y}}dy
slope of y=2+4x^2-2x^3	slope\:y=2+4x^{2}-2x^{3}
integral of-3	\int\:-3dx
y^{''}+5y=4t^4,y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}+5y=4t^{4},y(0)=0,y^{\prime\:}(0)=0
tangent of y=x^4-17x^2+16	tangent\:y=x^{4}-17x^{2}+16
(\partial)/(\partial y)(x*ln(x-y))	\frac{\partial\:}{\partial\:y}(x\cdot\:\ln(x-y))
integral from-1 to 2 of (2x+3)	\int\:_{-1}^{2}(2x+3)dx
maclaurin sqrt(x+1)	maclaurin\:\sqrt{x+1}
limit as x approaches-6-of (-1)/(x+6)	\lim\:_{x\to\:-6-}(\frac{-1}{x+6})
laplacetransform x-1	laplacetransform\:x-1
integral of e^{x^3}x^2	\int\:e^{x^{3}}x^{2}dx
integral from 0 to 1 of (x^2-4x+5)	\int\:_{0}^{1}(x^{2}-4x+5)dx
sum from n=1 to infinity of 2^{-3n}	\sum\:_{n=1}^{\infty\:}2^{-3n}
d/(dy)(9xe^{-1/(y^3)})	\frac{d}{dy}(9xe^{-\frac{1}{y^{3}}})
integral of e^{x^2+3}	\int\:e^{x^{2}+3}dx
slope of y=8x-x^2,(1,7)	slope\:y=8x-x^{2},(1,7)
y^{''}-2y^'-8y=0\quad y(0)=-2,y^'(0)=4	y^{\prime\:\prime\:}-2y^{\prime\:}-8y=0\quad\:y(0)=-2,y^{\prime\:}(0)=4
integral of (t+2t^2)/(sqrt(t))	\int\:\frac{t+2t^{2}}{\sqrt{t}}dt
(xdy)/(dx)=4y	\frac{xdy}{dx}=4y
sum from n=1 to infinity of 1/(1+ln(n))	\sum\:_{n=1}^{\infty\:}\frac{1}{1+\ln(n)}
(\partial)/(\partial x)(3x^4y)	\frac{\partial\:}{\partial\:x}(3x^{4}y)
derivative of (4x^4-7x/(x^3-8))	\frac{d}{dx}(\frac{4x^{4}-7x}{x^{3}-8})
tangent of f(x)=2x^2-9x+10,\at x=3	tangent\:f(x)=2x^{2}-9x+10,\at\:x=3
derivative of x^4+x^2	\frac{d}{dx}(x^{4}+x^{2})
derivative of e^{(6x-7x^2})	\frac{d}{dx}(e^{(6x-7x^{2})})
integral from-2 to 2 of e^{-x^2}	\int\:_{-2}^{2}e^{-x^{2}}dx
tangent of y=2x-2x^2	tangent\:y=2x-2x^{2}
limit as x approaches 2 of 1/2 x^2-4x	\lim\:_{x\to\:2}(\frac{1}{2}x^{2}-4x)
derivative of 2e^{2t}	derivative\:2e^{2t}
area x=-2,x=3,y=2x^2+2,y=0	area\:x=-2,x=3,y=2x^{2}+2,y=0
tangent of 2x^2+x-1,\at x=-1	tangent\:2x^{2}+x-1,\at\:x=-1
integral of cot^5(x)sin^4(x)	\int\:\cot^{5}(x)\sin^{4}(x)dx
implicit (dy)/(dx),cos(x+y)=sin(x)sin(y)	implicit\:\frac{dy}{dx},\cos(x+y)=\sin(x)\sin(y)
derivative of e^2x	\frac{d}{dx}(e^{2}x)
tangent of Y(x)=x^2+3	tangent\:Y(x)=x^{2}+3
limit as x approaches 6-of cx^2+9x	\lim\:_{x\to\:6-}(cx^{2}+9x)
integral of sin((nxpi)/2)	\int\:\sin(\frac{nxπ}{2})dx
y^{''}+3y^'+2y=cos(e^x)	y^{\prime\:\prime\:}+3y^{\prime\:}+2y=\cos(e^{x})
integral of 1/(x^2)ln(3x)	\int\:\frac{1}{x^{2}}\ln(3x)dx
implicit (dy)/(dx),y=xe^y	implicit\:\frac{dy}{dx},y=xe^{y}
limit as x approaches 6-of sec((pix)/4)	\lim\:_{x\to\:6-}(\sec(\frac{πx}{4}))
(\partial)/(\partial y)(2x-3y)	\frac{\partial\:}{\partial\:y}(2x-3y)
(\partial)/(\partial y)(1/(xy))	\frac{\partial\:}{\partial\:y}(\frac{1}{xy})
y^'=(15x)/y	y^{\prime\:}=\frac{15x}{y}
integral of e^{x(t-1)}	\int\:e^{x(t-1)}dx
(\partial)/(\partial x)(arctan(x))	\frac{\partial\:}{\partial\:x}(\arctan(x))
inverse oflaplace 1/(s^2+s(3/2)2)	inverselaplace\:\frac{1}{s^{2}+s(\frac{3}{2})2}
integral of 1/(sqrt(7x))	\int\:\frac{1}{\sqrt{7x}}dx
integral of (x^2)/(x^2+x-2)	\int\:\frac{x^{2}}{x^{2}+x-2}dx
integral of (5x^3-3x^2+2x-1)/(x^4+x^2)	\int\:\frac{5x^{3}-3x^{2}+2x-1}{x^{4}+x^{2}}dx
integral of 3x^2e^{(x^3)}	\int\:3x^{2}e^{(x^{3})}dx
derivative of (x^2-6x+12/(x-4))	\frac{d}{dx}(\frac{x^{2}-6x+12}{x-4})
integral of 24x^2	\int\:24x^{2}dx
derivative of (e^x+4^3)	\frac{d}{dx}((e^{x}+4)^{3})
integral of x^2+5x+6	\int\:x^{2}+5x+6dx
2sin(x),3cos(x),x=0,x=0.7pi	2\sin(x),3\cos(x),x=0,x=0.7π
integral of (\sqrt[11]{x}+\sqrt[12]{x})	\int\:(\sqrt[11]{x}+\sqrt[12]{x})dx
integral of xe^{-inx}	\int\:xe^{-inx}dx
integral of (sec(x)tan(x))/(9+4sec^2(x))	\int\:\frac{\sec(x)\tan(x)}{9+4\sec^{2}(x)}dx
integral of cos(t)e^t	\int\:\cos(t)e^{t}dt
(dx)/(dy)=y^2x-x+y^2-1	\frac{dx}{dy}=y^{2}x-x+y^{2}-1
integral of tan^2(x)sec^3(x	\int\:\tan^{2}(x)\sec^{3}(d)xdx
maclaurin f(x)=arctan(x)	maclaurin\:f(x)=\arctan(x)
integral of (e^{2x})/(sqrt(e^x+1))	\int\:\frac{e^{2x}}{\sqrt{e^{x}+1}}dx
integral from 0 to 1 of 3ln(6x)	\int\:_{0}^{1}3\ln(6x)dx

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