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4y^{''}+2y^'+2y=0	4y^{\prime\:\prime\:}+2y^{\prime\:}+2y=0
tangent of y=cos(x),\at x= pi/2	tangent\:y=\cos(x),\at\:x=\frac{π}{2}
derivative of x+xsqrt(x)	\frac{d}{dx}(x+x\sqrt{x})
derivative of x^3+3^x	\frac{d}{dx}(x^{3}+3^{x})
integral of sin(x)2x	\int\:\sin(x)2xdx
limit as x approaches infinity of ((x^2))/(e^{x^2)}	\lim\:_{x\to\:\infty\:}(\frac{(x^{2})}{e^{x^{2}}})
sum from n=0 to infinity of (1^n)/(3^n)	\sum\:_{n=0}^{\infty\:}\frac{1^{n}}{3^{n}}
integral of-(4x+10)/(x^3)	\int\:-\frac{4x+10}{x^{3}}dx
limit as x approaches 0-of 4/(tan(x))	\lim\:_{x\to\:0-}(\frac{4}{\tan(x)})
integral of e^{-st}*t	\int\:e^{-st}\cdot\:tdt
derivative of 9arcsec(x)	derivative\:9\arcsec(x)
(\partial)/(\partial y)(xy(1/(y^3)+2))	\frac{\partial\:}{\partial\:y}(xy(\frac{1}{y^{3}}+2))
integral of 1/4 e^{4x+1}	\int\:\frac{1}{4}e^{4x+1}dx
tangent of-x^2+80x-600	tangent\:-x^{2}+80x-600
derivative of sin^2(pix)	derivative\:\sin^{2}(πx)
integral of (24x-2x^3)/(x^4-16)	\int\:\frac{24x-2x^{3}}{x^{4}-16}dx
derivative of 8/(sqrt(x)-4/x)	\frac{d}{dx}(\frac{8}{\sqrt{x}}-\frac{4}{x})
(\partial)/(\partial y)(yz-ln(x+z))	\frac{\partial\:}{\partial\:y}(yz-\ln(x+z))
limit as x approaches 2 of 3x^2+1	\lim\:_{x\to\:2}(3x^{2}+1)
derivative of y=300(1.056)^x	derivative\:y=300(1.056)^{x}
(\partial)/(\partial x)(3x^2+2xy^2+1)	\frac{\partial\:}{\partial\:x}(3x^{2}+2xy^{2}+1)
sum from n=1 to infinity of 5/(pi^2)	\sum\:_{n=1}^{\infty\:}\frac{5}{π^{2}}
tangent of f(x)= 3/x ,(7, 3/7)	tangent\:f(x)=\frac{3}{x},(7,\frac{3}{7})
tangent of y= 2/(1+x^2),(2,0.4)	tangent\:y=\frac{2}{1+x^{2}},(2,0.4)
xy^'-y+xy^4=0	xy^{\prime\:}-y+xy^{4}=0
maclaurin x/(2x+1)	maclaurin\:\frac{x}{2x+1}
derivative of f(x)=(9\sqrt[3]{x^5})/5	derivative\:f(x)=\frac{9\sqrt[3]{x^{5}}}{5}
integral of e^{(x+y)}	\int\:e^{(x+y)}
xy^2y^'=x+8	xy^{2}y^{\prime\:}=x+8
integral of (2x)/(sqrt(4x^4-9))	\int\:\frac{2x}{\sqrt{4x^{4}-9}}dx
integral of (6x+1)(6x^2+2x)^{3/4}	\int\:(6x+1)(6x^{2}+2x)^{\frac{3}{4}}dx
derivative of 5/(x+8)	\frac{d}{dx}(\frac{5}{x+8})
area y=3x,y= 3/x ,x=4	area\:y=3x,y=\frac{3}{x},x=4
integral of-sin(1/2 x)	\int\:-\sin(\frac{1}{2}x)dx
derivative of f(x)=6cos(x)	derivative\:f(x)=6\cos(x)
integral of (tan^2(x))/(cos^2(x))	\int\:\frac{\tan^{2}(x)}{\cos^{2}(x)}dx
tangent of f(x)=3x^3,(-1,-3)	tangent\:f(x)=3x^{3},(-1,-3)
derivative of xe-x	\frac{d}{dx}(xe-x)
derivative of e^pi	\frac{d}{dx}(e^{π})
derivative of y=-8-(x/7)^{5/2}	derivative\:y=-8-(\frac{x}{7})^{\frac{5}{2}}
derivative of 4^{3sin(x-e^x})	\frac{d}{dx}(4^{3\sin(x)-e^{x}})
derivative of (3P+8)^7	derivative\:(3P+8)^{7}
y^{''}=6.1e^{(-2.7t)}	y^{\prime\:\prime\:}=6.1e^{(-2.7t)}
tangent of ln(x^2-24)=x-y+6,(-5,1)	tangent\:\ln(x^{2}-24)=x-y+6,(-5,1)
integral of (x^2-5x+5)	\int\:(x^{2}-5x+5)dx
y^{''}+y=-sin(2t)	y^{\prime\:\prime\:}+y=-\sin(2t)
derivative of 5/(4x-3)	\frac{d}{dx}(\frac{5}{4x-3})
integral of 2(sin(x)-cos(x)+1)	\int\:2(\sin(x)-\cos(x)+1)dx
derivative of tan(5sqrt(x))	derivative\:\tan(5\sqrt{x})
integral of (cos(4x))/2	\int\:\frac{\cos(4x)}{2}dx
integral of sec(x)tan(x)(x/pi)	\int\:\sec(x)\tan(x)(\frac{x}{π})dx
(dy)/(dt)+y=cos(2t),y(0)=5	\frac{dy}{dt}+y=\cos(2t),y(0)=5
(dy)/(dx)= 1/(xy)	\frac{dy}{dx}=\frac{1}{xy}
derivative of f(x)=xsqrt(x^3-6)	derivative\:f(x)=x\sqrt{x^{3}-6}
derivative of y=2x^2sqrt(2-x)	derivative\:y=2x^{2}\sqrt{2-x}
(\partial)/(\partial x)(e^{-1}cos(pix))	\frac{\partial\:}{\partial\:x}(e^{-1}\cos(πx))
(dx}{dt}=\frac{2x)/t ,x(3)=1	\frac{dx}{dt}=\frac{2x}{t},x(3)=1
tangent of f(x)=5e^x+3x,(0,5)	tangent\:f(x)=5e^{x}+3x,(0,5)
laplacetransform 10+t^2	laplacetransform\:10+t^{2}
(\partial)/(\partial z)(-ye^{z^3+z^2+1})	\frac{\partial\:}{\partial\:z}(-ye^{z^{3}+z^{2}+1})
integral from 0 to pi of sin^2(7x)	\int\:_{0}^{π}\sin^{2}(7x)dx
sum from n=1 to infinity of (3^n)/(n^2)	\sum\:_{n=1}^{\infty\:}\frac{3^{n}}{n^{2}}
integral of-sec^2(x)	\int\:-\sec^{2}(x)dx
integral of (t^2+1)/(sqrt(t))	\int\:\frac{t^{2}+1}{\sqrt{t}}dt
integral of 3/(x^{1/2)}	\int\:\frac{3}{x^{\frac{1}{2}}}dx
sum from n=0 to infinity of 2	\sum\:_{n=0}^{\infty\:}2
integral from 0 to 2 of (8t)/((t-3)^2)	\int\:_{0}^{2}\frac{8t}{(t-3)^{2}}dt
derivative of (x-1/3)	\frac{d}{dx}(\frac{x-1}{3})
tangent of (6x)/(x^2+1)(1.3)	tangent\:\frac{6x}{x^{2}+1}(1.3)
derivative of (7x)/((x^3-2)^2)	derivative\:\frac{7x}{(x^{3}-2)^{2}}
integral of-(cos(2x))/4	\int\:-\frac{\cos(2x)}{4}dx
(dy)/(dx)= 2/3 y	\frac{dy}{dx}=\frac{2}{3}y
limit as x approaches 4 of x+1	\lim\:_{x\to\:4}(x+1)
(\partial)/(\partial x)(ln(4x^2+y^2+8))	\frac{\partial\:}{\partial\:x}(\ln(4x^{2}+y^{2}+8))
derivative of (4x^{3/2}-2x^{1/2}^3)	\frac{d}{dx}((4x^{\frac{3}{2}}-2x^{\frac{1}{2}})^{3})
derivative of w(z)=7-z	derivative\:w(z)=7-z
10y^{''}+11y^'=5cos(4t)	10y^{\prime\:\prime\:}+11y^{\prime\:}=5\cos(4t)
integral of tan(2x)sqrt(sec^5(2x))	\int\:\tan(2x)\sqrt{\sec^{5}(2x)}dx
derivative of (4/5 x^4)	\frac{d}{dx}((\frac{4}{5}x)^{4})
integral of 4sec^2(2x)tan(2x)	\int\:4\sec^{2}(2x)\tan(2x)dx
derivative of sqrt(100-h^2)	derivative\:\sqrt{100-h^{2}}
derivative of (sqrt(a)-sqrt(x)^2)	\frac{d}{dx}((\sqrt{a}-\sqrt{x})^{2})
y^'-2xy=x	y^{\prime\:}-2xy=x
integral of cos^5(x	\int\:\cos^{5}(d)xdx
integral of (10)/(1-sin^2(x))	\int\:\frac{10}{1-\sin^{2}(x)}dx
integral of (x^3-3x^2+2x+1)	\int\:(x^{3}-3x^{2}+2x+1)dx
integral of (2x^3+5x^2-2x)/x	\int\:\frac{2x^{3}+5x^{2}-2x}{x}dx
limit as x approaches 0 of cos(5x)	\lim\:_{x\to\:0}(\cos(5x))
derivative of r(t)-4tan(5t^3)	derivative\:r(t)-4\tan(5t^{3})
limit as x approaches 2 of ((1))/((x+2))	\lim\:_{x\to\:2}(\frac{(1)}{(x+2)})
derivative of y=x^2sin(4x)	derivative\:y=x^{2}\sin(4x)
tangent of f(x)=x^2+x,\at x=4	tangent\:f(x)=x^{2}+x,\at\:x=4
y^{''}+4y^'+4y=0,y(0)=0,y^'(0)=1	y^{\prime\:\prime\:}+4y^{\prime\:}+4y=0,y(0)=0,y^{\prime\:}(0)=1
derivative of (-6x/(x^2+1))	\frac{d}{dx}(\frac{-6x}{x^{2}+1})
9x^2y^'=y^'+5xe^{-y}	9x^{2}y^{\prime\:}=y^{\prime\:}+5xe^{-y}
(dy)/(dx)=x*e^{-2x}	\frac{dy}{dx}=x\cdot\:e^{-2x}
integral of (x-1)/((x+1)(2x^2+3))	\int\:\frac{x-1}{(x+1)(2x^{2}+3)}dx
(d^2y)/(dx^2)+y=csc(x)	\frac{d^{2}y}{dx^{2}}+y=\csc(x)
(\partial)/(\partial x)(2x^2e^y+cos(xy))	\frac{\partial\:}{\partial\:x}(2x^{2}e^{y}+\cos(xy))
area y=x^2,(0,4)	area\:y=x^{2},(0,4)

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