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y^{''}-7y^'+10y=-sin(3t)	y^{\prime\:\prime\:}-7y^{\prime\:}+10y=-\sin(3t)
area y=x^2+2x-11,y=3,[3,5]	area\:y=x^{2}+2x-11,y=3,[3,5]
(\partial)/(\partial x)(4xsin(7x^2y))	\frac{\partial\:}{\partial\:x}(4x\sin(7x^{2}y))
derivative of x(x-1(x-2))	\frac{d}{dx}(x(x-1)(x-2))
derivative of y=\sqrt[7]{x}	derivative\:y=\sqrt[7]{x}
y^'+5y=te^{(4t)}	y^{\prime\:}+5y=te^{(4t)}
(\partial)/(\partial x)(3x^2-4)	\frac{\partial\:}{\partial\:x}(3x^{2}-4)
integral of 9/(9+e^x)	\int\:\frac{9}{9+e^{x}}dx
integral of (-1)/(2sqrt(16-x))	\int\:\frac{-1}{2\sqrt{16-x}}dx
derivative of 4x^2+8	\frac{d}{dx}(4x^{2}+8)
integral from 0 to pi of cos(x)-sin(x)	\int\:_{0}^{π}\cos(x)-\sin(x)dx
integral of x^2(5^3+7^2-6x-3)	\int\:x^{2}(5^{3}+7^{2}-6x-3)dx
integral of x^2+x+6	\int\:x^{2}+x+6dx
integral of (3x^2+5x)/((x-1)(x+1)^2)	\int\:\frac{3x^{2}+5x}{(x-1)(x+1)^{2}}dx
x^2y^{''}-3xy^'+4y=x,y(1)=0,y^'(1)=0	x^{2}y^{\prime\:\prime\:}-3xy^{\prime\:}+4y=x,y(1)=0,y^{\prime\:}(1)=0
sum from n=1 to infinity of n!(2x-1)^n	\sum\:_{n=1}^{\infty\:}n!(2x-1)^{n}
(dx)/(dt)=-8	\frac{dx}{dt}=-8
integral of (x^4+5x^3-3)/x	\int\:\frac{x^{4}+5x^{3}-3}{x}dx
integral of (6xy+4x)	\int\:(6xy+4x)dy
limit as x approaches-9 of 5x-4	\lim\:_{x\to\:-9}(5x-4)
inverse oflaplace-(75)/(s^2+6s+25)	inverselaplace\:-\frac{75}{s^{2}+6s+25}
limit as h approaches 0 of (h^2)/(3\|h\|)	\lim\:_{h\to\:0}(\frac{h^{2}}{3\left\|h\right\|})
derivative of ln(4x+9)	\frac{d}{dx}(\ln(4x+9))
limit as x approaches-6 of (x^2-5)/(6-x)	\lim\:_{x\to\:-6}(\frac{x^{2}-5}{6-x})
integral of 1/(2y)	\int\:\frac{1}{2y}dy
integral from 0 to 8 of \|sqrt(5x+6)-x\|	\int\:_{0}^{8}\left\|\sqrt{5x+6}-x\right\|dx
tangent of y=x^2+8	tangent\:y=x^{2}+8
(arctan(4x))^'	(\arctan(4x))^{\prime\:}
integral of (5x^2)/(sqrt(4x-x^2))	\int\:\frac{5x^{2}}{\sqrt{4x-x^{2}}}dx
integral of 4/u	\int\:\frac{4}{u}du
sum from n=2 to infinity of e^{5-2n}	\sum\:_{n=2}^{\infty\:}e^{5-2n}
integral of-16x	\int\:-16xdx
integral of (x+1)^{10}(x+2)	\int\:(x+1)^{10}(x+2)dx
derivative of y=ln(sec(x))	derivative\:y=\ln(\sec(x))
limit as x approaches 0 of (1/x)^{x^2}	\lim\:_{x\to\:0}((\frac{1}{x})^{x^{2}})
derivative of e^{-2x}(acos(x+bsin(x)))	\frac{d}{dx}(e^{-2x}(a\cos(x)+b\sin(x)))
limit as x approaches 0+of 6/(sin(x))	\lim\:_{x\to\:0+}(\frac{6}{\sin(x)})
(dy)/(dx)+xy=y	\frac{dy}{dx}+xy=y
derivative of cot(7x)	\frac{d}{dx}(\cot(7x))
integral of 1/(x^2)-1/(x^3)	\int\:\frac{1}{x^{2}}-\frac{1}{x^{3}}dx
d/(du)(x^2+x{y}(x,u)(x,u)^3)	\frac{d}{du}(x^{2}+x{y}(x,u)(x,u)^{3})
integral of sqrt(t)ln(t)	\int\:\sqrt{t}\ln(t)dt
integral of x^{5/4}	\int\:x^{\frac{5}{4}}dx
t^2(d^2y)/(dt^2)+2t(dy)/(dt)-6y=0	t^{2}\frac{d^{2}y}{dt^{2}}+2t\frac{dy}{dt}-6y=0
tangent of (x+2)^2+(y-3)^2=37,(-8,4)	tangent\:(x+2)^{2}+(y-3)^{2}=37,(-8,4)
integral of cos^2(u)sin^2(u)	\int\:\cos^{2}(u)\sin^{2}(u)du
derivative of 6x^5e^{6x}	\frac{d}{dx}(6x^{5}e^{6x})
derivative of (1-2x/(6+x))	\frac{d}{dx}(\frac{1-2x}{6+x})
tangent of f(x)=4x-3sqrt(x)	tangent\:f(x)=4x-3\sqrt{x}
derivative of ax^n	\frac{d}{dx}(ax^{n})
sum from k=1 to infinity of (k!)/(2^k)	\sum\:_{k=1}^{\infty\:}\frac{k!}{2^{k}}
integral of 15tan^2(x)sec^3(x)	\int\:15\tan^{2}(x)\sec^{3}(x)dx
derivative of 2xe^{4x}	derivative\:2xe^{4x}
integral of 2/(x^3sqrt(x^2-3))	\int\:\frac{2}{x^{3}\sqrt{x^{2}-3}}dx
derivative of sqrt(2)x+sqrt(3x)	derivative\:\sqrt{2}x+\sqrt{3x}
y^{''}-3y^'+2y=e^{3x}	y^{\prime\:\prime\:}-3y^{\prime\:}+2y=e^{3x}
limit as x approaches infinity of 1/x+5	\lim\:_{x\to\:\infty\:}(\frac{1}{x}+5)
integral of sin(9x)cos(7x)	\int\:\sin(9x)\cos(7x)dx
integral of xcos^2(7x)	\int\:x\cos^{2}(7x)dx
(sin(5x))^'	(\sin(5x))^{\prime\:}
slope of f(x)=sqrt(x)+1/(sqrt(x))	slope\:f(x)=\sqrt{x}+\frac{1}{\sqrt{x}}
limit as x approaches 1 of (2x-7)^3	\lim\:_{x\to\:1}((2x-7)^{3})
derivative of-12x^5+75x^4	derivative\:-12x^{5}+75x^{4}
integral from-3 to-2 of 1/x	\int\:_{-3}^{-2}\frac{1}{x}dx
integral of 0.5e^{-0.5x}	\int\:0.5e^{-0.5x}dx
derivative of (ce^t)/(1+ce^t)	derivative\:\frac{ce^{t}}{1+ce^{t}}
(\partial)/(\partial x)((((x+4))/(y+5))^{1/2})	\frac{\partial\:}{\partial\:x}((\frac{(x+4)}{y+5})^{\frac{1}{2}})
integral of (x^2+7x-5)cos(2x)	\int\:(x^{2}+7x-5)\cos(2x)dx
derivative of f(x)=x(2x-1)(3x+2)	derivative\:f(x)=x(2x-1)(3x+2)
integral of (x^2(3-x))/(sqrt(x^4-4x^3))	\int\:\frac{x^{2}(3-x)}{\sqrt{x^{4}-4x^{3}}}dx
derivative of (e^{-2.8x}-e^{-4.6x}/(1.8))	\frac{d}{dx}(\frac{e^{-2.8x}-e^{-4.6x}}{1.8})
inverse oflaplace (80)/(s^2+40s)	inverselaplace\:\frac{80}{s^{2}+40s}
derivative of e^x+2^{-x}+2cos(x-6)	\frac{d}{dx}(e^{x}+2^{-x}+2\cos(x)-6)
integral of 1/(12x^2)	\int\:\frac{1}{12x^{2}}dx
integral of (3e^x)/(e^{2x)+2e^x+1}	\int\:\frac{3e^{x}}{e^{2x}+2e^{x}+1}dx
integral from 0 to 2pi of e^{iθ}	\int\:_{0}^{2π}e^{iθ}dθ
integral from 0 to infinity of 4xe^{-4x}	\int\:_{0}^{\infty\:}4xe^{-4x}dx
derivative of cos(sin(7x))	derivative\:\cos(\sin(7x))
limit as h approaches 0 of (\|h\|)/h	\lim\:_{h\to\:0}(\frac{\left\|h\right\|}{h})
limit as 0 approaches 0 of ln(0)	\lim\:_{0\to\:0}(\ln(0))
limit as x approaches-infinity of (4-7x)/(2+3x)	\lim\:_{x\to\:-\infty\:}(\frac{4-7x}{2+3x})
integral of 1/(b-ay)	\int\:\frac{1}{b-ay}dy
integral of (x^2-4x+5)	\int\:(x^{2}-4x+5)dx
derivative of arcsin(x/(10))	\frac{d}{dx}(\arcsin(\frac{x}{10}))
(\partial)/(\partial x)(-4/(x^2y))	\frac{\partial\:}{\partial\:x}(-\frac{4}{x^{2}y})
derivative of f(t)=t^{1/2}(13t+2)	derivative\:f(t)=t^{\frac{1}{2}}(13t+2)
derivative of 9/((9-x^8)^{3/2)}	derivative\:\frac{9}{(9-x^{8})^{\frac{3}{2}}}
integral from 3 to 5 of (x^2)/8	\int\:_{3}^{5}\frac{x^{2}}{8}dx
sum from n=1 to infinity of n/(1000n+1)	\sum\:_{n=1}^{\infty\:}\frac{n}{1000n+1}
derivative of f(x)= 1/(sqrt(2))	derivative\:f(x)=\frac{1}{\sqrt{2}}
derivative of 5tan(xsec(x))	\frac{d}{dx}(5\tan(x)\sec(x))
limit as x approaches 9 of ((x^2-4x-45))/(x^2-81)	\lim\:_{x\to\:9}(\frac{(x^{2}-4x-45)}{x^{2}-81})
integral of-2cos(t)sin^2(t)	\int\:-2\cos(t)\sin^{2}(t)dt
derivative of 12x^2+4	\frac{d}{dx}(12x^{2}+4)
slope ofintercept (-1,-2),(-2,3)	slopeintercept\:(-1,-2),(-2,3)
(dy)/(dx)=(-2y^2)/(x^2)	\frac{dy}{dx}=\frac{-2y^{2}}{x^{2}}
d/(dt)(9sin(t)-sin(9t))	\frac{d}{dt}(9\sin(t)-\sin(9t))
integral of sin(t)e^{-st}	\int\:\sin(t)e^{-st}dt
(\partial)/(\partial x)(e^{xyz^9})	\frac{\partial\:}{\partial\:x}(e^{xyz^{9}})
derivative of ln(9-7x)	derivative\:\ln(9-7x)

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