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Popular Calculus Problems

(\partial)/(\partial x)(cos(3x+6y))	\frac{\partial\:}{\partial\:x}(\cos(3x+6y))
(dy)/(dx)+0.8xy=4x	\frac{dy}{dx}+0.8xy=4x
(\partial)/(\partial x)(x*i)	\frac{\partial\:}{\partial\:x}(x\cdot\:i)
y*(dy)/(dx)=5x(9+y^2)	y\cdot\:\frac{dy}{dx}=5x(9+y^{2})
maclaurin x^2e^{x^2}	maclaurin\:x^{2}e^{x^{2}}
integral from-3 to 3 of \|x+2\|	\int\:_{-3}^{3}\left\|x+2\right\|dx
integral of e^{6x}sin(7x)	\int\:e^{6x}\sin(7x)dx
slope of (4,-5),(6,-1)	slope\:(4,-5),(6,-1)
tangent of x/(1+x^2),\at x=1	tangent\:\frac{x}{1+x^{2}},\at\:x=1
(\partial)/(\partial y)(x*sin(xy))	\frac{\partial\:}{\partial\:y}(x\cdot\:\sin(xy))
derivative of y=ln(e^{-x}+xe^{-x})	derivative\:y=\ln(e^{-x}+xe^{-x})
integral of 2cos^3(5x)	\int\:2\cos^{3}(5x)dx
integral of (4x-3)^7	\int\:(4x-3)^{7}dx
derivative of f(x)=cos^2(e^{cos^2(x)})	derivative\:f(x)=\cos^{2}(e^{\cos^{2}(x)})
integral of (x^2-2x-4)/(x^2-4x)	\int\:\frac{x^{2}-2x-4}{x^{2}-4x}dx
integral from-1 to 1 of (e^x-(x^2-1))	\int\:_{-1}^{1}(e^{x}-(x^{2}-1))dx
integral of (3x+1)/(x^2+1)	\int\:\frac{3x+1}{x^{2}+1}dx
(\partial)/(\partial y)(xye^{-1y})	\frac{\partial\:}{\partial\:y}(xye^{-1y})
limit as x approaches 1 of sin((pix)/2)	\lim\:_{x\to\:1}(\sin(\frac{πx}{2}))
integral of-3*sqrt(x)+2x	\int\:-3\cdot\:\sqrt{x}+2xdx
integral of (x^2)/(sqrt(x^2-4))	\int\:\frac{x^{2}}{\sqrt{x^{2}-4}}dx
derivative of (-5)/(x^5)	derivative\:\frac{-5}{x^{5}}
-3x^2y+y^'=-5x^2	-3x^{2}y+y^{\prime\:}=-5x^{2}
area y=2(x+1),y=3(x+1),x=3	area\:y=2(x+1),y=3(x+1),x=3
integral from 1 to 4 of 3(ln(x))/(x^2)	\int\:_{1}^{4}3\frac{\ln(x)}{x^{2}}dx
derivative of f(x)=-6x^{-2}	derivative\:f(x)=-6x^{-2}
integral from-2 to 1 of 2x^2+3	\int\:_{-2}^{1}2x^{2}+3dx
integral of sin^3(x)cos^2(x	\int\:\sin^{3}(x)\cos^{2}(d)xdx
(\partial)/(\partial x)(x^2yz)	\frac{\partial\:}{\partial\:x}(x^{2}\cdot\:y\cdot\:z)
integral of cos(x)sin(x)	\int\:\cos(x)\sin(x)dx
integral of 1/2 e^{-x/2}	\int\:\frac{1}{2}e^{-\frac{x}{2}}dx
slope of 5/(1+x^2)	slope\:\frac{5}{1+x^{2}}
(dy)/(dx)=(((2y+5))/(8x+7))^2	\frac{dy}{dx}=(\frac{(2y+5)}{8x+7})^{2}
integral of 3sqrt(sin(x))cos(x)	\int\:3\sqrt{\sin(x)}\cos(x)dx
(\partial)/(\partial x)(3(((4+z))/(5+x))^2)	\frac{\partial\:}{\partial\:x}(3(\frac{(4+z)}{5+x})^{2})
integral of xsqrt(15x-5)	\int\:x\sqrt{15x-5}dx
1/x dx-1/y dy=0	\frac{1}{x}dx-\frac{1}{y}dy=0
derivative of e^x-x^5	derivative\:e^{x}-x^{5}
y/(2(x+y))=(dy)/(dx)	\frac{y}{2(x+y)}=\frac{dy}{dx}
derivative of f(x)=(3x^5+x6^x)2^{32}	derivative\:f(x)=(3x^{5}+x6^{x})2^{32}
slope ofintercept (1,-9),(-3,-9)	slopeintercept\:(1,-9),(-3,-9)
sum from n=1 to infinity of 2^n 1/(n^2)	\sum\:_{n=1}^{\infty\:}2^{n}\frac{1}{n^{2}}
integral of cos(-5x)	\int\:\cos(-5x)dx
integral of (x^2)/(sqrt(144-x^2))	\int\:\frac{x^{2}}{\sqrt{144-x^{2}}}dx
integral from 3 to 32 of 1/(x^3-27)	\int\:_{3}^{32}\frac{1}{x^{3}-27}dx
tangent of f(x)=(5x)/(x+3),\at x=2	tangent\:f(x)=\frac{5x}{x+3},\at\:x=2
(\partial)/(\partial x)(ln(4-t^2))	\frac{\partial\:}{\partial\:x}(\ln(4-t^{2}))
integral from 0 to 4 of (10-x)sqrt(x)	\int\:_{0}^{4}(10-x)\sqrt{x}dx
sum from n=0 to infinity of (2^n)/(2^n)	\sum\:_{n=0}^{\infty\:}\frac{2^{n}}{2^{n}}
derivative of e^xsqrt((x^2+1))-2-x	derivative\:e^{x}\sqrt{(x^{2}+1)}-2-x
tangent of y=2^x	tangent\:y=2^{x}
(\partial)/(\partial z)(3xz^3e^{y^2})	\frac{\partial\:}{\partial\:z}(3xz^{3}e^{y^{2}})
(\partial)/(\partial z)(xz+xyz)	\frac{\partial\:}{\partial\:z}(xz+xyz)
integral of (x^{11}e^{x^{12}})	\int\:(x^{11}e^{x^{12}})dx
integral of (3x^2+2)/(x^2)	\int\:\frac{3x^{2}+2}{x^{2}}dx
area 2x+y^2=8,x	area\:2x+y^{2}=8,x
(\partial)/(\partial y)(sin(y))	\frac{\partial\:}{\partial\:y}(\sin(y))
derivative of ln(x+sin(x+1))	\frac{d}{dx}(\ln(x+\sin(x)+1))
derivative of y=((x^2+1)^5)/((1-x^2)^5)	derivative\:y=\frac{(x^{2}+1)^{5}}{(1-x^{2})^{5}}
derivative of f(x)=(ln(x))/2+2	derivative\:f(x)=\frac{\ln(x)}{2}+2
derivative of sqrt(sin(\sqrt{x))}	derivative\:\sqrt{\sin(\sqrt{x})}
integral of 30	\int\:30dx
derivative of 2x^2-10x	derivative\:2x^{2}-10x
sum from n=0 to infinity of 1/(ln(n))	\sum\:_{n=0}^{\infty\:}\frac{1}{\ln(n)}
slope of 2-4/t (4.1)	slope\:2-\frac{4}{t}(4.1)
derivative of 3x^3-2	\frac{d}{dx}(3x^{3}-2)
sum from n=0 to infinity of e^{-3n}	\sum\:_{n=0}^{\infty\:}e^{-3n}
(\partial)/(\partial x)((5x+4y)/(4x-y))	\frac{\partial\:}{\partial\:x}(\frac{5x+4y}{4x-y})
integral from (1-x)^2 to (1+x)^2 of integral from 1 to 3 of ye^{x^2}	\int\:_{(1-x)^{2}}^{(1+x)^{2}}\int\:_{1}^{3}ye^{x^{2}}dxdy
limit as x approaches-4-of (3-8x)/(x+4)	\lim\:_{x\to\:-4-}(\frac{3-8x}{x+4})
implicit (dy)/(dx),2(x^2+y^2)2=81(x^2-y^2)	implicit\:\frac{dy}{dx},2(x^{2}+y^{2})2=81(x^{2}-y^{2})
derivative of (x^2/2+x*(ln(x)-1))	\frac{d}{dx}(\frac{x^{2}}{2}+x\cdot\:(\ln(x)-1))
limit as x approaches 3 of 4x^3-2x^2+x-6	\lim\:_{x\to\:3}(4x^{3}-2x^{2}+x-6)
tangent of y= 8/(1-t),(-1,4)	tangent\:y=\frac{8}{1-t},(-1,4)
integral of 1/((x+3)^2(x-1))	\int\:\frac{1}{(x+3)^{2}(x-1)}dx
tangent of y=9x-2x^2,(-2,-26)	tangent\:y=9x-2x^{2},(-2,-26)
derivative of (6x/(6+sqrt(x)))	\frac{d}{dx}(\frac{6x}{6+\sqrt{x}})
(\partial}{\partial x}(\frac{(x+y))/y)	\frac{\partial\:}{\partial\:x}(\frac{(x+y)}{y})
derivative of y=-0.0959x^2+106.83x+71149	derivative\:y=-0.0959x^{2}+106.83x+71149
integral of 2e^{tx}x	\int\:2e^{tx}xdx
integral of \sqrt[3]{2-5x^2}(-10x)	\int\:\sqrt[3]{2-5x^{2}}(-10x)dx
integral from 1 to R of x^{-9/5}	\int\:_{1}^{R}x^{-\frac{9}{5}}dx
integral from 0 to 1 of 2pix(5x(x-1)^2)	\int\:_{0}^{1}2πx(5x(x-1)^{2})dx
derivative of (5-sec(x))/(tan(x))	derivative\:\frac{5-\sec(x)}{\tan(x)}
integral of 4/x-(4x)/(x^2+1)	\int\:\frac{4}{x}-\frac{4x}{x^{2}+1}dx
limit as x approaches 1+of 3	\lim\:_{x\to\:1+}(3)
(\partial)/(\partial x)((-x-3)/(y^2))	\frac{\partial\:}{\partial\:x}(\frac{-x-3}{y^{2}})
(sqrt(2x+1))^'	(\sqrt{2x+1})^{\prime\:}
derivative of 2x^4+x^3+3x^2	\frac{d}{dx}(2x^{4}+x^{3}+3x^{2})
tangent of f(x)= 1/(x-3),\at x=8	tangent\:f(x)=\frac{1}{x-3},\at\:x=8
integral of t^2sin(t)	\int\:t^{2}\sin(t)dt
derivative of f(t)=cos^2(pi/2-t)	derivative\:f(t)=\cos^{2}(\frac{π}{2}-t)
derivative of 2x^2-5x+2	\frac{d}{dx}(2x^{2}-5x+2)
(x+2)^2y^'+3(x+2)y=4	(x+2)^{2}y^{\prime\:}+3(x+2)y=4
limit as x approaches 0+of 1+xe^{(2/x)}	\lim\:_{x\to\:0+}(1+xe^{(\frac{2}{x})})
(dy)/(dx)=2y+y^5,y(0)=1	\frac{dy}{dx}=2y+y^{5},y(0)=1
integral of e^{6t}	\int\:e^{6t}dt
derivative of f(x)= A/(x^{10)}+Be^x	derivative\:f(x)=\frac{A}{x^{10}}+Be^{x}
y^'-5y=6e^{5x},y(0)=0	y^{\prime\:}-5y=6e^{5x},y(0)=0
derivative of ln(2x^2-3x+1)	\frac{d}{dx}(\ln(2x^{2}-3x+1))

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