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(y+sqrt(x^2+y^2))dx=xdy	(y+\sqrt{x^{2}+y^{2}})dx=xdy
integral of (6x^2)/((x^6+1)(x^3+1))	\int\:\frac{6x^{2}}{(x^{6}+1)(x^{3}+1)}dx
limit as x approaches 0 of sin(9x)	\lim\:_{x\to\:0}(\sin(9x))
f(x)=2x^7	f(x)=2x^{7}
f(t)=(\sqrt[3]{t})/(t-6)	f(t)=\frac{\sqrt[3]{t}}{t-6}
(d^{10})/(dx^{10)}(x/(e^x))	\frac{d^{10}}{dx^{10}}(\frac{x}{e^{x}})
y^{''}+y=0	y^{\prime\:\prime\:}+y=0
y^'=2e^{2x-y}	y^{\prime\:}=2e^{2x-y}
integral of xln(x-1)	\int\:x\ln(x-1)dx
derivative of (x^2)/(5+8x)	derivative\:\frac{x^{2}}{5+8x}
derivative of f(x)=(x^5-x^3+3)	derivative\:f(x)=(x^{5}-x^{3}+3)
integral of 1/(x(5+3ln(x)))	\int\:\frac{1}{x(5+3\ln(x))}dx
integral of 3^{-2x}	\int\:3^{-2x}dx
integral of (2x^2-2x-8)/(x^2(x-4))	\int\:\frac{2x^{2}-2x-8}{x^{2}(x-4)}dx
limit as x approaches 0-of cos(1/x)	\lim\:_{x\to\:0-}(\cos(\frac{1}{x}))
integral of 1/(1^2+1x^2)	\int\:\frac{1}{1^{2}+1x^{2}}dx
derivative of (x^2+100/x)	\frac{d}{dx}(\frac{x^{2}+100}{x})
limit as x approaches 2 of ln(2)	\lim\:_{x\to\:2}(\ln(2))
derivative of-1/(x^4-5/(x^2))	\frac{d}{dx}(-\frac{1}{x^{4}}-\frac{5}{x^{2}})
area 4x^4-3x^2,6x^2	area\:4x^{4}-3x^{2},6x^{2}
(\partial)/(\partial x)(x^2y^3sin(xz))	\frac{\partial\:}{\partial\:x}(x^{2}y^{3}\sin(xz))
derivative of f(x)=x^9arccos(x)	derivative\:f(x)=x^{9}\arccos(x)
integral of-3xcos(2x)	\int\:-3x\cos(2x)dx
integral of 2x^3-2/3 x^2+5x	\int\:2x^{3}-\frac{2}{3}x^{2}+5xdx
limit as x approaches 0 of (sin(10x))/x	\lim\:_{x\to\:0}(\frac{\sin(10x)}{x})
integral from 0 to 2 of (4x+3)/(x^4)	\int\:_{0}^{2}\frac{4x+3}{x^{4}}dx
integral of (5x^3-7x^2+2x+1)	\int\:(5x^{3}-7x^{2}+2x+1)dx
derivative of 30+1/(x+1-3x^2)	\frac{d}{dx}(30+\frac{1}{x+1}-3x^{2})
derivative of 1/(5x^2+2x)	\frac{d}{dx}(\frac{1}{5x^{2}+2x})
inverse oflaplace (5s+3)/((s-1)(s^2+2s+5))	inverselaplace\:\frac{5s+3}{(s-1)(s^{2}+2s+5)}
(\partial)/(\partial y)(x^2+e^{xy})	\frac{\partial\:}{\partial\:y}(x^{2}+e^{xy})
derivative of y=csc^1(e^{8t})	derivative\:y=\csc^{1}(e^{8t})
integral of (x^3-7x)	\int\:(x^{3}-7x)dx
(\partial)/(\partial x)(ln(x^2u))	\frac{\partial\:}{\partial\:x}(\ln(x^{2}u))
derivative of f(x)=(2x+3)^6(x-2)^4	derivative\:f(x)=(2x+3)^{6}(x-2)^{4}
integral of x+pi	\int\:x+πdx
derivative of f(x)=sqrt(7x+8)	derivative\:f(x)=\sqrt{7x+8}
derivative of e^{-0}	derivative\:e^{-0}
derivative of x*sin(y)	\frac{d}{dx}(x\cdot\:\sin(y))
derivative of 9xcos(x^2)	derivative\:9x\cos(x^{2})
limit as x approaches-infinity of 6^x	\lim\:_{x\to\:-\infty\:}(6^{x})
y^'-3y=e^x	y^{\prime\:}-3y=e^{x}
derivative of (x^2(sqrt(x)))	\frac{d}{dx}((x^{2})(\sqrt{x}))
tangent of f(x)=4-x^2,\at x=2	tangent\:f(x)=4-x^{2},\at\:x=2
integral of cos(1/2 x)	\int\:\cos(\frac{1}{2}x)dx
derivative of (x^5/(5!))	\frac{d}{dx}(\frac{x^{5}}{5!})
derivative of x^2+cos(x)	\frac{d}{dx}(x^{2}+\cos(x))
sum from n=1 to infinity of (4^n)/(4^n)	\sum\:_{n=1}^{\infty\:}\frac{4^{n}}{4^{n}}
derivative of 4x^4e^x	\frac{d}{dx}(4x^{4}e^{x})
integral of-x+tan(x)	\int\:-x+\tan(x)dx
derivative of y=sin(x)-cos(x)	derivative\:y=\sin(x)-\cos(x)
integral of 1/((1-x^2))	\int\:\frac{1}{(1-x^{2})}dx
y^'+3y=xe^{-2x}+e^{-3x}	y^{\prime\:}+3y=xe^{-2x}+e^{-3x}
y^{''}=x(y^')^2	y^{\prime\:\prime\:}=x(y^{\prime\:})^{2}
tangent of x/(1+x^2),\at x=0	tangent\:\frac{x}{1+x^{2}},\at\:x=0
integral of 36xe^{-9x}	\int\:36xe^{-9x}dx
derivative of (2x+1)/(x+5)*(3x-1)	derivative\:\frac{2x+1}{x+5}\cdot\:(3x-1)
derivative of e^{16x}	derivative\:e^{16x}
derivative of sqrt(ln(x^2+3))	\frac{d}{dx}(\sqrt{\ln(x^{2}+3)})
integral of (1)	\int\:(1)dx
limit as x approaches c of 4	\lim\:_{x\to\:c}(4)
integral of sec^2(x)+5	\int\:\sec^{2}(x)+5dx
derivative of ((3t-2)^3)/(t+5)	derivative\:\frac{(3t-2)^{3}}{t+5}
(\partial)/(\partial x)((e^x-4x)sin(y))	\frac{\partial\:}{\partial\:x}((e^{x}-4x)\sin(y))
tangent of y=(x-2)(x^2+4),(1,-5)	tangent\:y=(x-2)(x^{2}+4),(1,-5)
derivative of ln(2)	derivative\:\ln(2)
(dy)/(dx)= y/(x+1)+4x^2+4x	\frac{dy}{dx}=\frac{y}{x+1}+4x^{2}+4x
integral from 4/3 to 4 of 1/(1-x^2)	\int\:_{\frac{4}{3}}^{4}\frac{1}{1-x^{2}}dx
integral of (x^3+1)^2(3x)	\int\:(x^{3}+1)^{2}(3x)dx
tangent of y=(sqrt(x))/(x+9),(1,0.1)	tangent\:y=\frac{\sqrt{x}}{x+9},(1,0.1)
tangent of-2x^{2/3}-4,\at x=8	tangent\:-2x^{\frac{2}{3}}-4,\at\:x=8
derivative of (2x^2-4)^3	derivative\:(2x^{2}-4)^{3}
limit as x approaches 0-of (cot(pix)sin(x))/(2sec(x))	\lim\:_{x\to\:0-}(\frac{\cot(πx)\sin(x)}{2\sec(x)})
sum from n=0 to infinity of 2n-1	\sum\:_{n=0}^{\infty\:}2n-1
(\partial)/(\partial x)(y/(x(x+y)))	\frac{\partial\:}{\partial\:x}(\frac{y}{x(x+y)})
limit as x approaches 7 of (x+8)/(x-7)	\lim\:_{x\to\:7}(\frac{x+8}{x-7})
integral of-1/(2/x y)	\int\:-\frac{1}{\frac{2}{x}y}dy
derivative of sin(tan(5x))	derivative\:\sin(\tan(5x))
derivative of-2(e^{-x^2}-2e^{-x^2}x^2)	\frac{d}{dx}(-2(e^{-x^{2}}-2e^{-x^{2}}x^{2}))
(\partial)/(\partial x)(xy+xz-2yz)	\frac{\partial\:}{\partial\:x}(xy+xz-2yz)
derivative of tan(5x+1/(2x^2))	\frac{d}{dx}(\tan(5x)+\frac{1}{2x^{2}})
-3y^'+(3y)/x =x^4y^4	-3y^{\prime\:}+\frac{3y}{x}=x^{4}y^{4}
integral of 4/(2x-1)	\int\:\frac{4}{2x-1}dx
derivative of 2xe^{3x}	\frac{d}{dx}(2xe^{3x})
limit as x approaches 6 of 3/(x-6)	\lim\:_{x\to\:6}(\frac{3}{x-6})
derivative of ((x^5-5)/((x+1)))	\frac{d}{dx}(\frac{(x^{5}-5)}{(x+1)})
(\partial)/(\partial y)(x^2y+xy^2)	\frac{\partial\:}{\partial\:y}(x^{2}y+xy^{2})
integral of x(5x^2+4)^3	\int\:x(5x^{2}+4)^{3}dx
slope of (1,2.5),(4,1)	slope\:(1,2.5),(4,1)
integral of 3x^3-12x	\int\:3x^{3}-12xdx
inverse oflaplace 4/(s^2(s+2))	inverselaplace\:\frac{4}{s^{2}(s+2)}
y^{''}-4y=16xe^{2x}	y^{\prime\:\prime\:}-4y=16xe^{2x}
(dy)/(dt)+tan(t)y=3sin(t),y(0)=1	\frac{dy}{dt}+\tan(t)y=3\sin(t),y(0)=1
(dy)/(dx)=(3x^2)/(y(1-x^3))	\frac{dy}{dx}=\frac{3x^{2}}{y(1-x^{3})}
derivative of-32cos(8x)	\frac{d}{dx}(-32\cos(8x))
derivative of (2x+9/(2x))	\frac{d}{dx}(\frac{2x+9}{2x})
derivative of f(x)=x^2+x-2	derivative\:f(x)=x^{2}+x-2
derivative of (cos(x)/(ln(x)))	\frac{d}{dx}(\frac{\cos(x)}{\ln(x)})
integral of cos(x)a^{sin(x)}	\int\:\cos(x)a^{\sin(x)}dx
integral of (1/(1+e^x))	\int\:(\frac{1}{1+e^{x}})dx

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