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x^2y^'+3xy=(sin(4x))/x	x^{2}y^{\prime\:}+3xy=\frac{\sin(4x)}{x}
derivative of arcsin(xdx)	\frac{d}{dx}(\arcsin(x)dx)
tangent of f(x)=(x^3-25x)^8,(-5,0)	tangent\:f(x)=(x^{3}-25x)^{8},(-5,0)
integral of (2x)/(1-x)	\int\:\frac{2x}{1-x}dx
integral of (-3x)/(sqrt((x-1)^2+4))	\int\:\frac{-3x}{\sqrt{(x-1)^{2}+4}}dx
y^{'''}-y^{''}+y^'+3y=0	y^{\prime\:\prime\:\prime\:}-y^{\prime\:\prime\:}+y^{\prime\:}+3y=0
(dy)/(dt)=3y+y^4,y(0)=1	\frac{dy}{dt}=3y+y^{4},y(0)=1
derivative of-20x^3+36x^2-12x-4	\frac{d}{dx}(-20x^{3}+36x^{2}-12x-4)
(d^2)/(dx^2)(9z^2e^z)	\frac{d^{2}}{dx^{2}}(9z^{2}e^{z})
integral from 0 to 8 of 1/(64+x^2)	\int\:_{0}^{8}\frac{1}{64+x^{2}}dx
derivative of 3x^2-3x+4	\frac{d}{dx}(3x^{2}-3x+4)
sum from n=0 to infinity of (-0.3)^n	\sum\:_{n=0}^{\infty\:}(-0.3)^{n}
area x^3-x^2-4x-4,2x-4	area\:x^{3}-x^{2}-4x-4,2x-4
derivative of (8x^2+4x+4/(sqrt(x)))	\frac{d}{dx}(\frac{8x^{2}+4x+4}{\sqrt{x}})
derivative of 5x^{3/2}	derivative\:5x^{\frac{3}{2}}
taylor e^{(x^2)/2}	taylor\:e^{\frac{x^{2}}{2}}
area sqrt(x),x	area\:\sqrt{x},x
derivative of f(x)= 1/(-2+(3x+1)^2)	derivative\:f(x)=\frac{1}{-2+(3x+1)^{2}}
integral of (5x^2+1)sqrt(5x^3+3x-2)	\int\:(5x^{2}+1)\sqrt{5x^{3}+3x-2}dx
derivative of sinh^2(x)	\frac{d}{dx}(\sinh^{2}(x))
integral of sqrt(x^2-4x+3)	\int\:\sqrt{x^{2}-4x+3}dx
integral of y/(sqrt(3y+1))	\int\:\frac{y}{\sqrt{3y+1}}dy
(dy)/(dx)=3cos(x)y,y(pi/2)=-2	\frac{dy}{dx}=3\cos(x)y,y(\frac{π}{2})=-2
derivative of (x^2(2/(x^2)+5/(x^3)))	\frac{d}{dx}((x^{2})(\frac{2}{x^{2}}+\frac{5}{x^{3}}))
limit as x approaches-infinity of 0.1^x	\lim\:_{x\to\:-\infty\:}(0.1^{x})
derivative of x^{4/5}(x-2^2)	\frac{d}{dx}(x^{\frac{4}{5}}(x-2)^{2})
derivative of ((x^2)/(1+x))	\frac{d}{dx}(\frac{(x^{2})}{1+x})
limit as x approaches pi/2 of 3sec(x)	\lim\:_{x\to\:\frac{π}{2}}(3\sec(x))
integral of (sqrt(tan(x)))/(sin(2x))	\int\:\frac{\sqrt{\tan(x)}}{\sin(2x)}dx
derivative of 2x^{3x}	\frac{d}{dx}(2x^{3x})
(\partial)/(\partial x)(1/2 (x-y)^2)	\frac{\partial\:}{\partial\:x}(\frac{1}{2}(x-y)^{2})
ty^'+2y=4t^2	ty^{\prime\:}+2y=4t^{2}
limit as x approaches-2 of x/(x^2-4)	\lim\:_{x\to\:-2}(\frac{x}{x^{2}-4})
derivative of 2sin^3(x-3cos^2(x))	\frac{d}{dx}(2\sin^{3}(x)-3\cos^{2}(x))
integral of 5/32 x^4	\int\:\frac{5}{32}x^{4}dx
derivative of xsin(1/x)	derivative\:x\sin(\frac{1}{x})
(\partial)/(\partial y)(ycos(y-2x))	\frac{\partial\:}{\partial\:y}(y\cos(y-2x))
slope of (7-9)(7-10)	slope\:(7-9)(7-10)
integral of ye^{2y}	\int\:ye^{2y}dy
integral of (6x^5+6)/((x^6+6x)^2)	\int\:\frac{6x^{5}+6}{(x^{6}+6x)^{2}}dx
sum from n=0 to infinity of 2e^{-n}	\sum\:_{n=0}^{\infty\:}2e^{-n}
(\partial)/(\partial x)(sqrt(9-x^2))	\frac{\partial\:}{\partial\:x}(\sqrt{9-x^{2}})
derivative of (((3x^2)/(2x+4))^3)	\frac{d}{dx}((\frac{(3x^{2})}{2x+4})^{3})
limit as x approaches 0 of 3/x+3/(x^2-x)	\lim\:_{x\to\:0}(\frac{3}{x}+\frac{3}{x^{2}-x})
derivative of 2x+sin(x)	\frac{d}{dx}(2x+\sin(x))
derivative of (x^2cos(x)/(tan(x)))	\frac{d}{dx}(\frac{x^{2}\cos(x)}{\tan(x)})
integral of (z+1)e^z	\int\:(z+1)e^{z}dz
limit as x approaches 0+of 2/x-1/(ln(x))	\lim\:_{x\to\:0+}(\frac{2}{x}-\frac{1}{\ln(x)})
integral from 1 to infinity of e^{-2x}	\int\:_{1}^{\infty\:}e^{-2x}dx
(\partial)/(\partial x)(x^{4y})	\frac{\partial\:}{\partial\:x}(x^{4y})
xy^'=2y+7x	xy^{\prime\:}=2y+7x
(\partial)/(\partial x)(x^3+2y^2+8x+5y+5xy)	\frac{\partial\:}{\partial\:x}(x^{3}+2y^{2}+8x+5y+5xy)
y^{''}+9y^'=40e^{1t}	y^{\prime\:\prime\:}+9y^{\prime\:}=40e^{1t}
integral of 5e^t	\int\:5e^{t}dt
limit as x approaches 0 of cotan(x)	\lim\:_{x\to\:0}(co\tan(x))
limit as x approaches-1 of x^3-2x^2+3x-4	\lim\:_{x\to\:-1}(x^{3}-2x^{2}+3x-4)
derivative of f(x)= 3/(x+1)	derivative\:f(x)=\frac{3}{x+1}
limit as x approaches 0 of 2x+e^x	\lim\:_{x\to\:0}(2x+e^{x})
integral of-10e^{cos(x)}sin(x)	\int\:-10e^{\cos(x)}\sin(x)dx
f^'(x)=2x	f^{\prime\:}(x)=2x
integral of cos^2((4-x)/3)	\int\:\cos^{2}(\frac{4-x}{3})dx
d/(dt)(1/2 t)	\frac{d}{dt}(\frac{1}{2}t)
integral of x^2(x^3+9)^7	\int\:x^{2}(x^{3}+9)^{7}dx
derivative of f(x)=x^{7/5}(x+5)	derivative\:f(x)=x^{\frac{7}{5}}(x+5)
y^'=(0.04*4)-y/(1840)4,y(0)=0	y^{\prime\:}=(0.04\cdot\:4)-\frac{y}{1840}4,y(0)=0
integral of sinh(14x)	\int\:\sinh(14x)dx
integral of x^{-1}sin(x)	\int\:x^{-1}\sin(x)dx
limit as x approaches 0 of (1-cos(5x))/x	\lim\:_{x\to\:0}(\frac{1-\cos(5x)}{x})
integral of sin(pix)sin(npix)	\int\:\sin(πx)\sin(nπx)dx
derivative of x^3*ln(x)	\frac{d}{dx}(x^{3}\cdot\:\ln(x))
derivative of y=y	derivative\:y=y
roots (kx)/(a^2+x^2)	roots\:\frac{kx}{a^{2}+x^{2}}
tangent of f(x)=sqrt(x)(x-2),\at x=1	tangent\:f(x)=\sqrt{x}(x-2),\at\:x=1
integral from 0 to 2 of x^3e^x	\int\:_{0}^{2}x^{3}e^{x}dx
limit as x approaches 4-of (x-9)/(x-4)	\lim\:_{x\to\:4-}(\frac{x-9}{x-4})
y^'=a-by	y^{\prime\:}=a-by
integral of sqrt(t)sqrt(1+t\sqrt{t)}	\int\:\sqrt{t}\sqrt{1+t\sqrt{t}}dt
tangent of f(x)=sqrt(1-10x),\at x=-1	tangent\:f(x)=\sqrt{1-10x},\at\:x=-1
integral of (-1)^nx^{2n}	\int\:(-1)^{n}x^{2n}dx
limit as x approaches 0 of (x-2)^2	\lim\:_{x\to\:0}((x-2)^{2})
(d^2)/(dx^2)(xe^x)	\frac{d^{2}}{dx^{2}}(xe^{x})
(dy)/(dt)+2y=0	\frac{dy}{dt}+2y=0
derivative of-3e^{-3x}	derivative\:-3e^{-3x}
derivative of (2x-3^2)	\frac{d}{dx}((2x-3)^{2})
integral of (sin(5ln(t)))/t	\int\:\frac{\sin(5\ln(t))}{t}dt
limit as x approaches 7-of-2/(sqrt(7-x))	\lim\:_{x\to\:7-}(-\frac{2}{\sqrt{7-x}})
sum from n=3 to infinity of (n^2)/(e^n)	\sum\:_{n=3}^{\infty\:}\frac{n^{2}}{e^{n}}
derivative of 0.03x^2-4x+3x^{0.8}-5000	derivative\:0.03x^{2}-4x+3x^{0.8}-5000
integral of-t/(1+t^2)	\int\:-\frac{t}{1+t^{2}}dt
tangent of f(x)=14cos(x),\at x=7	tangent\:f(x)=14\cos(x),\at\:x=7
y^'+ln(x)= y/x	y^{\prime\:}+\ln(x)=\frac{y}{x}
integral from 0 to 1 of sqrt(1+(-1/x)^2)	\int\:_{0}^{1}\sqrt{1+(-\frac{1}{x})^{2}}dx
inverse oflaplace ((6))/(s^2+5s+6)	inverselaplace\:\frac{(6)}{s^{2}+5s+6}
integral from 1 to R of xe^{-4x}	\int\:_{1}^{R}xe^{-4x}dx
(dy)/(dx)=(y-7)^2	\frac{dy}{dx}=(y-7)^{2}
derivative of \sqrt[3]{x}-(10/x)	\frac{d}{dx}(\sqrt[3]{x}-\frac{10}{x})
derivative of x(x^2+1^3)	\frac{d}{dx}(x(x^{2}+1)^{3})
(\partial)/(\partial x)(8x^2y+5xy^3)	\frac{\partial\:}{\partial\:x}(8x^{2}y+5xy^{3})
tangent of y=7x^2-4x,-74	tangent\:y=7x^{2}-4x,-74
integral of (x-9)^2	\int\:(x-9)^{2}dx

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