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Popular Calculus Problems

integral from 0 to 1 of 1/(9+16x^2)	\int\:_{0}^{1}\frac{1}{9+16x^{2}}dx
maclaurin x/((3-x)^3)	maclaurin\:\frac{x}{(3-x)^{3}}
integral from 0 to 7 of xe^{-x}	\int\:_{0}^{7}xe^{-x}dx
area x^2-1,-x+2,0,1	area\:x^{2}-1,-x+2,0,1
limit as x approaches infinity of xln(x)	\lim\:_{x\to\:\infty\:}(x\ln(x))
derivative of (-cos(x)/(4x^2+2x-3))	\frac{d}{dx}(\frac{-\cos(x)}{4x^{2}+2x-3})
(dy)/(dt)+2y=3t^2+2t-1	\frac{dy}{dt}+2y=3t^{2}+2t-1
sum from n=1 to infinity of (8^n)/(n^4)	\sum\:_{n=1}^{\infty\:}\frac{8^{n}}{n^{4}}
(x+1)(dy)/(dx)+(x+2)y=4xe^{-x}	(x+1)\frac{dy}{dx}+(x+2)y=4xe^{-x}
integral of x/(16-x^4)	\int\:\frac{x}{16-x^{4}}dx
(\partial)/(\partial x)(x-xy+3)	\frac{\partial\:}{\partial\:x}(x-xy+3)
integral from 4 to 9 of (t-3)/(sqrt(t))	\int\:_{4}^{9}\frac{t-3}{\sqrt{t}}dt
limit as x approaches 0 of cos^2(5x)	\lim\:_{x\to\:0}(\cos^{2}(5x))
limit as x approaches-infinity of 6	\lim\:_{x\to\:-\infty\:}(6)
integral of (1/x)	\int\:(\frac{1}{x})dx
derivative of 2^x+x^2	\frac{d}{dx}(2^{x}+x^{2})
(\partial)/(\partial x)(4x^2+9y^2-45)	\frac{\partial\:}{\partial\:x}(4x^{2}+9y^{2}-45)
(\partial)/(\partial x)((4xy-7)^2)	\frac{\partial\:}{\partial\:x}((4xy-7)^{2})
derivative of (-2/((6x-7x^4)^3))	\frac{d}{dx}(\frac{-2}{(6x-7x^{4})^{3}})
integral of (8/(sqrt(x))+8sqrt(x))	\int\:(\frac{8}{\sqrt{x}}+8\sqrt{x})dx
derivative of xsec(xtan(x))	\frac{d}{dx}(x\sec(x)\tan(x))
derivative of f(x)=x+9/x	derivative\:f(x)=x+\frac{9}{x}
(\partial)/(\partial x)((xy)^z)	\frac{\partial\:}{\partial\:x}((xy)^{z})
integral of (x^3-x^2-4x+4)/(x^3-x^2-6x)	\int\:\frac{x^{3}-x^{2}-4x+4}{x^{3}-x^{2}-6x}dx
(\partial)/(\partial x)(e^{2y}cos(3x))	\frac{\partial\:}{\partial\:x}(e^{2y}\cos(3x))
inverse oflaplace 3	inverselaplace\:3
y^{''}-5y^'+6y=xe^{(-4x)}	y^{\prime\:\prime\:}-5y^{\prime\:}+6y=x\cdot\:e^{(-4\cdot\:x)}
derivative of 5/((2x^3))	\frac{d}{dx}(\frac{5}{(2x)^{3}})
(\partial)/(\partial x)(x^2-y^2)	\frac{\partial\:}{\partial\:x}(x^{2}-y^{2})
integral of (tan(x/(10)))^5	\int\:(\tan(\frac{x}{10}))^{5}dx
(1-e^{2y})(dy)/(dx)=e^y	(1-e^{2y})\frac{dy}{dx}=e^{y}
tangent of x^2+y^2=25,(-4,-3)	tangent\:x^{2}+y^{2}=25,(-4,-3)
integral of 2xsin(x^2)	\int\:2x\sin(x^{2})dx
y^'+(y^2)/x =-1/x	y^{\prime\:}+\frac{y^{2}}{x}=-\frac{1}{x}
integral of (x^2-1)/(x^2+x)	\int\:\frac{x^{2}-1}{x^{2}+x}dx
deg2rad (x'')^'	deg2rad\:(x\prime\:\prime\:)^{\prime\:}
y^{''}+a*y^'=b,y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}+a\cdot\:y^{\prime\:}=b,y(0)=0,y^{\prime\:}(0)=0
(dy)/(dx)=((2x+sec^2(x)))/(2y),y(0)=-6	\frac{dy}{dx}=\frac{(2x+\sec^{2}(x))}{2y},y(0)=-6
integral of (3x+5)/(x^2+1)	\int\:\frac{3x+5}{x^{2}+1}dx
integral of (3x^2-6x-4)/(x^3-3x^2-4x+12)	\int\:\frac{3x^{2}-6x-4}{x^{3}-3x^{2}-4x+12}dx
derivative of xsinh(x)	\frac{d}{dx}(x\sinh(x))
limit as x approaches 2+of (x^3-8)/(x-2)	\lim\:_{x\to\:2+}(\frac{x^{3}-8}{x-2})
integral of arccot(11y)	\int\:\arccot(11y)dy
derivative of (x+4(e^2x))	\frac{d}{dx}((x+4)(e^{2}x))
tangent of f(x)=(2x)/(x^2+1),\at x=1	tangent\:f(x)=\frac{2x}{x^{2}+1},\at\:x=1
integral of 2x(x^2+5)^3	\int\:2x(x^{2}+5)^{3}dx
limit as x approaches-1 of (6x+5)/(5x-6)	\lim\:_{x\to\:-1}(\frac{6x+5}{5x-6})
(\partial}{\partial x}(\frac{10\sqrt[3]{(5x)^2})/3)	\frac{\partial\:}{\partial\:x}(\frac{10\sqrt[3]{(5x)^{2}}}{3})
(dy}{dx}-\frac{2y)/x =x^{-1}y^{-1}	\frac{dy}{dx}-\frac{2y}{x}=x^{-1}y^{-1}
integral of ((cx)/((x^2+y^2)^{3/2)})	\int\:(\frac{cx}{(x^{2}+y^{2})^{\frac{3}{2}}})dx
derivative of 1/(x(ln(x)^{{p)(x)}})	\frac{d}{dx}(\frac{1}{x(\ln(x))^{{p}(x)}})
integral of 8sin^2(t+pi/(12))	\int\:8\sin^{2}(t+\frac{π}{12})dt
xy^'=y+6x^2sin(x),y(pi)=0	xy^{\prime\:}=y+6x^{2}\sin(x),y(π)=0
limit as x approaches-1 of x^2-3x-4	\lim\:_{x\to\:-1}(x^{2}-3x-4)
limit as x approaches 4 of 3/((x-4)^2)	\lim\:_{x\to\:4}(\frac{3}{(x-4)^{2}})
integral of cos^4(1/2 x)	\int\:\cos^{4}(\frac{1}{2}x)dx
integral from 0 to 1 of 1/2 x^2	\int\:_{0}^{1}\frac{1}{2}x^{2}dx
derivative of sqrt(x-5)-100	derivative\:\sqrt{x-5}-100
slope of 1/(2sqrt(x-3))	slope\:\frac{1}{2\sqrt{x-3}}
integral of θ\sqrt[4]{1-θ^2}	\int\:θ\sqrt[4]{1-θ^{2}}dθ
derivative of \sqrt[4]{x}-3/x	\frac{d}{dx}(\sqrt[4]{x}-\frac{3}{x})
(\partial)/(\partial x)(ln(x-2y))	\frac{\partial\:}{\partial\:x}(\ln(x-2y))
(\partial)/(\partial x)(sin(x/y))	\frac{\partial\:}{\partial\:x}(\sin(\frac{x}{y}))
d/(dt)((ln(2t-1))/(t^2-1))	\frac{d}{dt}(\frac{\ln(2t-1)}{t^{2}-1})
(\partial)/(\partial x)(2x^2-3xy+z-4)	\frac{\partial\:}{\partial\:x}(2x^{2}-3xy+z-4)
integral of (x^2-6x+9)	\int\:(x^{2}-6x+9)dx
integral of 2/(y^2)	\int\:\frac{2}{y^{2}}dy
integral from-1 to 1 of 1.5x^2	\int\:_{-1}^{1}1.5x^{2}dx
derivative of x^7+7x^2	\frac{d}{dx}(x^{7}+7x^{2})
integral of 1-1/2 x^4+1/24 x^8	\int\:1-\frac{1}{2}x^{4}+\frac{1}{24}x^{8}dx
limit as x approaches 0 of x(\|x\|)	\lim\:_{x\to\:0}(x(\left\|x\right\|))
tangent of f(x)= 6/(sqrt(x)),\at x=36	tangent\:f(x)=\frac{6}{\sqrt{x}},\at\:x=36
limit as x approaches 2 of (x-2)/(x^2-4)	\lim\:_{x\to\:2}(\frac{x-2}{x^{2}-4})
derivative of (cos(12x)/(e^{7x)})	\frac{d}{dx}(\frac{\cos(12x)}{e^{7x}})
integral of (sec^6(x))/(tan^2(x))	\int\:\frac{\sec^{6}(x)}{\tan^{2}(x)}dx
derivative of 9t-2t^2	derivative\:9t-2t^{2}
integral of 4x^{-2}	\int\:4x^{-2}dx
derivative of (2x/(1-x))	\frac{d}{dx}(\frac{2x}{1-x})
limit as x approaches 3 of 2x^2-3x	\lim\:_{x\to\:3}(2x^{2}-3x)
(dy)/(dx)=2sqrt(xy)	\frac{dy}{dx}=2\sqrt{xy}
derivative of ((x-1^2)/(x+2))	\frac{d}{dx}(\frac{(x-1)^{2}}{x+2})
integral of (e^{2x}+x)	\int\:(e^{2x}+x)dx
derivative of-0.0000272x^2+0.008459x+440	derivative\:-0.0000272x^{2}+0.008459x+440
limit as x approaches infinity of-(4x)/5	\lim\:_{x\to\:\infty\:}(-\frac{4x}{5})
(d^2)/(dx^2)((x^2)/(x-1))	\frac{d^{2}}{dx^{2}}(\frac{x^{2}}{x-1})
(\partial)/(\partial x)(sec(x))	\frac{\partial\:}{\partial\:x}(\sec(x))
integral of 2x(x^2+12)^3	\int\:2x(x^{2}+12)^{3}dx
integral of (2x+1)e^{0.4x}	\int\:(2x+1)e^{0.4x}dx
integral from-1 to 3 of (2x^3-10)	\int\:_{-1}^{3}(2x^{3}-10)dx
limit as x approaches 0 of (\|-x^2\|)/x	\lim\:_{x\to\:0}(\frac{\left\|-x^{2}\right\|}{x})
integral from 0 to 4 of 1/(sqrt(2t+1))	\int\:_{0}^{4}\frac{1}{\sqrt{2t+1}}dt
integral of 3/((x-1)^3)	\int\:\frac{3}{(x-1)^{3}}dx
derivative of arctan(x/8)	\frac{d}{dx}(\arctan(\frac{x}{8}))
integral of x^3(1/x+6x^2)	\int\:x^{3}(\frac{1}{x}+6x^{2})dx
integral of 7x^6sin(x^7)	\int\:7x^{6}\sin(x^{7})dx
integral of xsqrt(x^2-3)	\int\:x\sqrt{x^{2}-3}dx
inverse oflaplace 1/(s+2)	inverselaplace\:\frac{1}{s+2}
area 8x+6,x-x^2,-6,-1	area\:8x+6,x-x^{2},-6,-1
integral from-3 to 3 of (14)/(x^2-4x-45)	\int\:_{-3}^{3}\frac{14}{x^{2}-4x-45}dx
derivative of y=(3sqrt(x)+5)x^2	derivative\:y=(3\sqrt{x}+5)x^{2}

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