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2y^{''}+8y^'+80y=40cos(8t)	2y^{\prime\:\prime\:}+8y^{\prime\:}+80y=40\cos(8t)
(6x+1)y^2(dy)/(dx)+3x^2+2y^3=0	(6x+1)y^{2}\frac{dy}{dx}+3x^{2}+2y^{3}=0
limit as x approaches 3+of (3x+4)/(x-3)	\lim\:_{x\to\:3+}(\frac{3x+4}{x-3})
(e^x-1)^'	(e^{x}-1)^{\prime\:}
derivative of arcsin(sqrt(sin(7x)))	\frac{d}{dx}(\arcsin(\sqrt{\sin(7x)}))
derivative of f(x)=6	derivative\:f(x)=6
derivative of-ln(1-x)	derivative\:-\ln(1-x)
limit as x approaches infinity of (1-1/x)^{x-1}	\lim\:_{x\to\:\infty\:}((1-\frac{1}{x})^{x-1})
integral from 0 to 1 of (1-sqrt(x))^2	\int\:_{0}^{1}(1-\sqrt{x})^{2}dx
integral of 9cos^2(x)tan^3(x)	\int\:9\cos^{2}(x)\tan^{3}(x)dx
integral of (3xe^{2x})/((1+2x)^2)	\int\:\frac{3xe^{2x}}{(1+2x)^{2}}dx
integral of e^{ut}	\int\:e^{ut}dt
derivative of (4-1/(2x^2))^{-1}	derivative\:(4-\frac{1}{2x^{2}})^{-1}
(\partial)/(\partial x)((x-3y)/(x^2+y^2))	\frac{\partial\:}{\partial\:x}(\frac{x-3y}{x^{2}+y^{2}})
derivative of arctan(x/(1+x))	\frac{d}{dx}(\arctan(\frac{x}{1+x}))
integral of ((4x^3-3x^2-8x))/(6x)	\int\:\frac{(4x^{3}-3x^{2}-8x)}{6x}dx
limit as x approaches 0 of x^2sin(1/x)	\lim\:_{x\to\:0}(x^{2}\sin(\frac{1}{x}))
derivative of (5x^6+2x^3^4)	\frac{d}{dx}((5x^{6}+2x^{3})^{4})
integral from 0 to ln(sqrt(3 of))(4e^x)/(1+e^{2x)}	\int\:_{0}^{\ln(\sqrt{3})}\frac{4e^{x}}{1+e^{2x}}dx
derivative of x(9^{-2x})	derivative\:x(9^{-2x})
derivative of (cos(x))/(2+sin(x))	derivative\:\frac{\cos(x)}{2+\sin(x)}
limit as x approaches 0 of (9sin(x))/x	\lim\:_{x\to\:0}(\frac{9\sin(x)}{x})
(\partial)/(\partial x)(ln(x^{0.6}y^{0.4}))	\frac{\partial\:}{\partial\:x}(\ln(x^{0.6}y^{0.4}))
integral of 6xe^{3x}	\int\:6xe^{3x}dx
integral of 30-10x	\int\:30-10xdx
(dy)/(dx)-y=9x	\frac{dy}{dx}-y=9x
integral of 1/(sqrt(9-49x^2))	\int\:\frac{1}{\sqrt{9-49x^{2}}}dx
derivative of 6tsin(pit)	derivative\:6t\sin(πt)
derivative of (-9/(sqrt(x^2+81)))	\frac{d}{dx}(\frac{-9}{\sqrt{x^{2}+81}})
integral of (6+3z)cos(1+4z)	\int\:(6+3z)\cos(1+4z)dz
integral of 1/((t-1)^2)	\int\:\frac{1}{(t-1)^{2}}dt
derivative of-9	derivative\:-9
integral of 9/(x(x^4+2))	\int\:\frac{9}{x(x^{4}+2)}dx
integral of xsin(kwx)	\int\:x\sin(kwx)dx
integral from 0 to 2pi of sin(x)sin(x+1)	\int\:_{0}^{2π}\sin(x)\sin(x+1)dx
integral of 2v	\int\:2vdv
derivative of f(x)=log_{4}(x)	derivative\:f(x)=\log_{4}(x)
(dx)/(dy)=x-x^2	\frac{dx}{dy}=x-x^{2}
laplacetransform t^2e^{4t}	laplacetransform\:t^{2}e^{4t}
derivative of e^{arcsin(x})	\frac{d}{dx}(e^{\arcsin(x)})
limit as x approaches 2 of sqrt(x^2)+3x	\lim\:_{x\to\:2}(\sqrt{x^{2}}+3x)
integral of arccos(3x)	\int\:\arccos(3x)dx
derivative of f(x)=3x^3	derivative\:f(x)=3x^{3}
integral of sin^2(3x)*cos^4(3x)	\int\:\sin^{2}(3x)\cdot\:\cos^{4}(3x)dx
integral of (2x^2-5x-18)/(x^3+x^2-6x)	\int\:\frac{2x^{2}-5x-18}{x^{3}+x^{2}-6x}dx
integral of (r^2)/(r+4)	\int\:\frac{r^{2}}{r+4}dr
integral from 0 to pi/4 of (sec^2(x))	\int\:_{0}^{\frac{π}{4}}(\sec^{2}(x))dx
integral of x^5cos(1-x^6)	\int\:x^{5}\cos(1-x^{6})dx
limit as x approaches 0 of 5x-3	\lim\:_{x\to\:0}(5x-3)
integral of (x^3-2sqrt(x))/x	\int\:\frac{x^{3}-2\sqrt{x}}{x}dx
integral of (6x+1)*sqrt(2x-3)	\int\:(6x+1)\cdot\:\sqrt{2x-3}dx
tangent of f(x)=(1+2x)(3-2x),\at x=1	tangent\:f(x)=(1+2x)(3-2x),\at\:x=1
integral of 2ysqrt(2y-3)	\int\:2y\sqrt{2y-3}dy
integral of e^{3x}cos(x)	\int\:e^{3x}\cos(x)dx
integral of (x^{3/2}-x)	\int\:(x^{\frac{3}{2}}-x)dx
limit as x approaches 0 of 1/(x^5)	\lim\:_{x\to\:0}(\frac{1}{x^{5}})
taylor ln(2x)	taylor\:\ln(2x)
integral of (ln(18x))/x	\int\:\frac{\ln(18x)}{x}dx
(dy)/(dx)=(x^3sqrt(x^4-1))/(y^3)	\frac{dy}{dx}=\frac{x^{3}\sqrt{x^{4}-1}}{y^{3}}
integral of xe^{-x/3}	\int\:xe^{-\frac{x}{3}}dx
slope of (1.2)(3.4)	slope\:(1.2)(3.4)
integral of ((x^3+6x^2+2x+3))/(x^2+6x+1)	\int\:\frac{(x^{3}+6x^{2}+2x+3)}{x^{2}+6x+1}dx
derivative of arcsin(7x)	\frac{d}{dx}(\arcsin(7x))
derivative of e^{2ln(x)}	derivative\:e^{2\ln(x)}
derivative of x-2cos(x)	\frac{d}{dx}(x-2\cos(x))
integral of sec^3(θ)	\int\:\sec^{3}(θ)dθ
taylor \|sin(x)\|	taylor\:\left\|\sin(x)\right\|
limit as x approaches 0-of (cos(x))/x	\lim\:_{x\to\:0-}(\frac{\cos(x)}{x})
derivative of sqrt(5x+2)	derivative\:\sqrt{5x+2}
derivative of 5^{3x^3}	\frac{d}{dx}(5^{3x^{3}})
integral of 1/(sqrt(-x^2-14x-48))	\int\:\frac{1}{\sqrt{-x^{2}-14x-48}}dx
integral of 1/((1+t^2))	\int\:\frac{1}{(1+t^{2})}dt
integral from 0 to 1 of (6x^e+5e^x)	\int\:_{0}^{1}(6x^{e}+5e^{x})dx
integral of 3/(100+2x)	\int\:\frac{3}{100+2x}dx
integral from 8 to 16 of xsqrt(16x-x^2)	\int\:_{8}^{16}x\sqrt{16x-x^{2}}dx
derivative of y=4-2x-x^{-3}	derivative\:y=4-2x-x^{-3}
integral of r^2sec^2(r^3)	\int\:r^{2}\sec^{2}(r^{3})dr
tangent of-6+250x^3-3x^5	tangent\:-6+250x^{3}-3x^{5}
derivative of 1/(5x+1)	\frac{d}{dx}(\frac{1}{5x+1})
limit as x approaches-1f of x	\lim\:_{x\to\:-1f}(x)
area g(x)=x^2,g(x)=x^k0,1	area\:g(x)=x^{2},g(x)=x^{k}0,1
integral of (3x+1)/((x^2+2)(x+3))	\int\:\frac{3x+1}{(x^{2}+2)(x+3)}dx
x(dy)/(dx)+4y=x^3-x	x\frac{dy}{dx}+4y=x^{3}-x
area 1/((16x^2)),x, x/6	area\:\frac{1}{(16x^{2})},x,\frac{x}{6}
(\partial)/(\partial x)(xe^{4x+2y})	\frac{\partial\:}{\partial\:x}(xe^{4x+2y})
integral of 1/(6+2sqrt(x))	\int\:\frac{1}{6+2\sqrt{x}}dx
derivative of (x^5+2^2(x^3+4)^4)	\frac{d}{dx}((x^{5}+2)^{2}(x^{3}+4)^{4})
sum from n=4 to infinity of 3(-1/2)^n	\sum\:_{n=4}^{\infty\:}3(-\frac{1}{2})^{n}
limit as x approaches 0 of x^{1/3}	\lim\:_{x\to\:0}(x^{\frac{1}{3}})
tangent of (x^2+y^2)^2=4x^2y,(1,1)	tangent\:(x^{2}+y^{2})^{2}=4x^{2}y,(1,1)
(\partial)/(\partial x)(x^3+2^y+x^y)	\frac{\partial\:}{\partial\:x}(x^{3}+2^{y}+x^{y})
integral of sec(θ)	\int\:\sec(θ)dθ
sum from n=1 to infinity of (n!)/(2^n)	\sum\:_{n=1}^{\infty\:}\frac{n!}{2^{n}}
integral of 1/((y-1)(y+1))	\int\:\frac{1}{(y-1)(y+1)}dy
derivative of 1/(2sqrt(x)+1/(5x^{4/5)})	\frac{d}{dx}(\frac{1}{2\sqrt{x}}+\frac{1}{5x^{\frac{4}{5}}})
tangent of y=e^{4x}cos(pix),(0,1)	tangent\:y=e^{4x}\cos(πx),(0,1)
derivative of e^{0.5x}	\frac{d}{dx}(e^{0.5x})
integral from-1 to 1 of (20-12x)^{-1}	\int\:_{-1}^{1}(20-12x)^{-1}dx
integral of ((sin(2x)))/(e^x)	\int\:\frac{(\sin(2x))}{e^{x}}dx
expand x(4-x)^3	expand\:x(4-x)^{3}

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