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(dy)/(dx)=(4cos(2x))/(3-sin(2x))	\frac{dy}{dx}=\frac{4\cos(2x)}{3-\sin(2x)}
integral of xe^{-x/5}	\int\:xe^{-\frac{x}{5}}dx
(1/(sqrt(x^2+1)))^'	(\frac{1}{\sqrt{x^{2}+1}})^{\prime\:}
implicit (dy)/(dx),y^2-x=0	implicit\:\frac{dy}{dx},y^{2}-x=0
integral of (x^3+x+1)/(x^2+2x+1)	\int\:\frac{x^{3}+x+1}{x^{2}+2x+1}dx
derivative of-6xy	\frac{d}{dx}(-6xy)
integral from 1 to 2 of 9x^4ln(x)	\int\:_{1}^{2}9x^{4}\ln(x)dx
integral of 6/(6+e^x)	\int\:\frac{6}{6+e^{x}}dx
integral of (sqrt(a+x))/(sqrt(a-x))	\int\:\frac{\sqrt{a+x}}{\sqrt{a-x}}dx
integral of 1/(sqrt(e^{2t)-2)}	\int\:\frac{1}{\sqrt{e^{2t}-2}}dt
derivative of 0.6x^34^x	\frac{d}{dx}(0.6x^{3}4^{x})
area y=3x^2,y=2,x=0,x>= 0	area\:y=3x^{2},y=2,x=0,x\ge\:0
derivative of xe^{-(x^2/2})	\frac{d}{dx}(xe^{-\frac{x^{2}}{2}})
derivative of x/(2+x^2)	derivative\:\frac{x}{2+x^{2}}
derivative of (3sqrt(x)+7)x^2	derivative\:(3\sqrt{x}+7)x^{2}
derivative of-(32/(x^3)+4/(x^2))	\frac{d}{dx}(-\frac{32}{x^{3}}+\frac{4}{x^{2}})
integral from 2 to 4 of (x^2+1)/(x^2-5)	\int\:_{2}^{4}\frac{x^{2}+1}{x^{2}-5}dx
integral of x^3cos(x^2)	\int\:x^{3}\cos(x^{2})dx
integral of xsqrt(x-9)	\int\:x\sqrt{x-9}dx
tangent of 3xy^3+4xy=28,(4,1)	tangent\:3xy^{3}+4xy=28,(4,1)
limit as x approaches 2 of 3x^2-x-10	\lim\:_{x\to\:2}(3x^{2}-x-10)
(d^2y)/(dx^2)-2x(dy)/(dx)+2y=0	\frac{d^{2}y}{dx^{2}}-2x\frac{dy}{dx}+2y=0
y=xsin(2/x)	y=x\sin(\frac{2}{x})
derivative of x^7f(x)	derivative\:x^{7}f(x)
derivative of y=sqrt(x+\sqrt{x)}	derivative\:y=\sqrt{x+\sqrt{x}}
integral of 1/(sqrt(3x)+1)	\int\:\frac{1}{\sqrt{3x}+1}dx
sum from n=0 to infinity}(4^{(2n+1) of)/((-4)^n)	\sum\:_{n=0}^{\infty\:}\frac{4^{(2n+1)}}{(-4)^{n}}
derivative of-1/(4x^{3/2})	\frac{d}{dx}(-\frac{1}{4x^{\frac{3}{2}}})
integral of (2^{tan(x)})/(cos^2(x))	\int\:\frac{2^{\tan(x)}}{\cos^{2}(x)}dx
limit as x approaches-6 of (x^2-2)/(6-x)	\lim\:_{x\to\:-6}(\frac{x^{2}-2}{6-x})
derivative of (e^{-x}/(1+e^{-x)})	\frac{d}{dx}(\frac{e^{-x}}{1+e^{-x}})
derivative of y=ln(x^2+1)	derivative\:y=\ln(x^{2}+1)
(dr)/(ds)=e^{r-2s}	\frac{dr}{ds}=e^{r-2s}
integral of (16)/(x^3+4x)	\int\:\frac{16}{x^{3}+4x}dx
integral of 6x^5y	\int\:6x^{5}ydx
derivative of ln((4x+1)/(2x-7))	derivative\:\ln(\frac{4x+1}{2x-7})
integral of e^{6x}cos(5x)	\int\:e^{6x}\cos(5x)dx
integral of x^nln(x)	\int\:x^{n}\ln(x)dx
integral from-4 to 6 of [f(x)+2]	\int\:_{-4}^{6}[f(x)+2]dx
derivative of x^9ln\|x\|	\frac{d}{dx}(x^{9}\ln\left\|x\right\|)
integral from 0 to pi of-7sin(x)	\int\:_{0}^{π}-7\sin(x)dx
derivative of 3/(sqrt(t))	derivative\:\frac{3}{\sqrt{t}}
integral from 4 to 5 of 1/(x^2-1)	\int\:_{4}^{5}\frac{1}{x^{2}-1}dx
(\partial)/(\partial x)(x*ln(x))	\frac{\partial\:}{\partial\:x}(x\cdot\:\ln(x))
integral of 2piy(8-y^{3/2})	\int\:2πy(8-y^{\frac{3}{2}})dy
tangent of f(x)=(ln(x))^3,\at x=11	tangent\:f(x)=(\ln(x))^{3},\at\:x=11
tangent of f(x)=x^3+2x,\at x=1	tangent\:f(x)=x^{3}+2x,\at\:x=1
derivative of (x^3+3x+2/(x^2-1))	\frac{d}{dx}(\frac{x^{3}+3x+2}{x^{2}-1})
x^2y^{''}-5xy^'+13y=0	x^{2}y^{\prime\:\prime\:}-5xy^{\prime\:}+13y=0
derivative of sin(cos(x^2+3))	\frac{d}{dx}(\sin(\cos(x^{2}+3)))
area y=4x,y=x^3+3x^2	area\:y=4x,y=x^{3}+3x^{2}
integral from 0 to 1 of 2/7 x^2(x+3)	\int\:_{0}^{1}\frac{2}{7}x^{2}(x+3)dx
integral from 0 to 1 of pi(5x^6-5x)^2	\int\:_{0}^{1}π(5x^{6}-5x)^{2}dx
integral from 0 to 10 of xe^{-x}	\int\:_{0}^{10}xe^{-x}dx
xyy^'+y^2=xe^{-x}	xyy^{\prime\:}+y^{2}=xe^{-x}
integral from 0 to b of e^{ux}a(b-x)	\int\:_{0}^{b}e^{ux}a(b-x)dx
integral of 1/(xe^{ln(x))}	\int\:\frac{1}{xe^{\ln(x)}}dx
limit as x approaches-1 of 1x^2	\lim\:_{x\to\:-1}(1x^{2})
d/(dy)(y^{1/2})	\frac{d}{dy}(y^{\frac{1}{2}})
(\partial)/(\partial x)(1(x-y)e^{1y+2x^2})	\frac{\partial\:}{\partial\:x}(1(x-y)e^{1y+2x^{2}})
taylor f(x)=sqrt(x)	taylor\:f(x)=\sqrt{x}
(\partial)/(\partial y)(y^2+1)	\frac{\partial\:}{\partial\:y}(y^{2}+1)
y^{''}+2y^'+y=2e^{-t},y(0)=-1,y^'(0)=3	y^{\prime\:\prime\:}+2y^{\prime\:}+y=2e^{-t},y(0)=-1,y^{\prime\:}(0)=3
derivative of g(x)=x^{5/2}	derivative\:g(x)=x^{\frac{5}{2}}
integral from 0 to infinity of 1/(4+x^2)	\int\:_{0}^{\infty\:}\frac{1}{4+x^{2}}dx
derivative of e^{sqrt(x)}+x	\frac{d}{dx}(e^{\sqrt{x}}+x)
derivative of 9x^2cos(xcot(x))	\frac{d}{dx}(9x^{2}\cos(x)\cot(x))
integral from 1 to 2 of 1/(3-x)	\int\:_{1}^{2}\frac{1}{3-x}dx
derivative of (ln(x)/(4x^2))	\frac{d}{dx}(\frac{\ln(x)}{4x^{2}})
integral of sqrt(x)-7cos(x)	\int\:\sqrt{x}-7\cos(x)dx
integral of sin^2((3x)/2)	\int\:\sin^{2}(\frac{3x}{2})dx
derivative of y= 4/(sqrt(x))	derivative\:y=\frac{4}{\sqrt{x}}
integral of 12(x-4)^5	\int\:12(x-4)^{5}dx
derivative of sin(\sqrt[3]{x}-2+pi)	\frac{d}{dx}(\sin(\sqrt[3]{x}-2+π))
derivative of sqrt(9x-36)	derivative\:\sqrt{9x-36}
(\partial)/(\partial x)(-4x+5-6xy)	\frac{\partial\:}{\partial\:x}(-4x+5-6xy)
f(x)=(x^3)/3	f(x)=\frac{x^{3}}{3}
integral of 1/(4x^5)	\int\:\frac{1}{4x^{5}}dx
integral of (2-x)^5	\int\:(2-x)^{5}dx
integral from 0 to 9 of xsqrt(81-x^2)	\int\:_{0}^{9}x\sqrt{81-x^{2}}dx
derivative of e^{2x}+2	\frac{d}{dx}(e^{2x}+2)
inverse oflaplace (s^2)/(s+1)	inverselaplace\:\frac{s^{2}}{s+1}
xy^'=y+2x^2sin(x),y(pi)=0	xy^{\prime\:}=y+2x^{2}\sin(x),y(π)=0
sum from n=1 to infinity of (e^n)/(n^2)	\sum\:_{n=1}^{\infty\:}\frac{e^{n}}{n^{2}}
(\partial)/(\partial x)(2x^3+3y^3-12xy)	\frac{\partial\:}{\partial\:x}(2x^{3}+3y^{3}-12xy)
integral of 1/((x^2-6x)^{3/2)}	\int\:\frac{1}{(x^{2}-6x)^{\frac{3}{2}}}dx
(\partial)/(\partial x)(xy{E}(x,y)(x,y)^{x/y})	\frac{\partial\:}{\partial\:x}(xy{E}(x,y)(x,y)^{\frac{x}{y}})
integral of-2cos^2(x)	\int\:-2\cos^{2}(x)dx
f(x)=2sec(3x^2)	f(x)=2\sec(3x^{2})
(6y+2t-7)dt+(8y+6t-1)dy=0,y(-1)=2	(6y+2t-7)dt+(8y+6t-1)dy=0,y(-1)=2
integral from 0 to t of t^2e^{-t/2}	\int\:_{0}^{t}t^{2}e^{-\frac{t}{2}}dt
integral of 1/(x^4-x)	\int\:\frac{1}{x^{4}-x}dx
derivative of (2x^2tan(x)/(sec(x)))	\frac{d}{dx}(\frac{2x^{2}\tan(x)}{\sec(x)})
integral of sec^2(θ)tan^3(θ)	\int\:\sec^{2}(θ)\tan^{3}(θ)dθ
integral of ((x+2))/(sqrt(x))	\int\:\frac{(x+2)}{\sqrt{x}}dx
limit as x approaches 0 of x^2ln\|x\|	\lim\:_{x\to\:0}(x^{2}\ln\left\|x\right\|)
(\partial)/(\partial x)(y^{x^y})	\frac{\partial\:}{\partial\:x}(y^{x^{y}})
y^{''}-4y^'+4y=t^{-4}e^{2t}	y^{\prime\:\prime\:}-4y^{\prime\:}+4y=t^{-4}e^{2t}
laplacetransform t^2*e^{-3t}	laplacetransform\:t^{2}\cdot\:e^{-3t}
derivative of x/(10-(10)/x)	\frac{d}{dx}(\frac{x}{10}-\frac{10}{x})

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