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Popular Calculus Problems

dx-e^{3x}dy=0	dx-e^{3x}dy=0
(\partial)/(\partial x)(x^{6y})	\frac{\partial\:}{\partial\:x}(x^{6y})
derivative of x^2sqrt(6x-1)	\frac{d}{dx}(x^{2}\sqrt{6x-1})
integral from b to 1 of /r	\int\:_{b}^{d}\frac{1}{r}dr
tangent of f(x)=7x^3+5x,\at x=7	tangent\:f(x)=7x^{3}+5x,\at\:x=7
derivative of 3e^x(5x^5-2)	\frac{d}{dx}(3e^{x}(5x^{5}-2))
y'=sin^2(x-y)	y\prime\:=\sin^{2}(x-y)
derivative of (x^2+3^4)	\frac{d}{dx}((x^{2}+3)^{4})
derivative of 5e^{sqrt(x)}	\frac{d}{dx}(5e^{\sqrt{x}})
(\partial)/(\partial x)((3x^2+3x-1)(2x+3))	\frac{\partial\:}{\partial\:x}((3x^{2}+3x-1)(2x+3))
derivative of y=(x+5)(3sqrt(x)+8)	derivative\:y=(x+5)(3\sqrt{x}+8)
integral of ((x+1))/((x^2+2x+2)^3)	\int\:\frac{(x+1)}{(x^{2}+2x+2)^{3}}dx
(dy)/(dx)=1+y/x	\frac{dy}{dx}=1+\frac{y}{x}
derivative of y=log_{4}(x)+log_{4}(x^2)	derivative\:y=\log_{4}(x)+\log_{4}(x^{2})
derivative of sqrt(x^2-8)	\frac{d}{dx}(\sqrt{x^{2}-8})
slope of (0,2),(2,-3)	slope\:(0,2),(2,-3)
laplacetransform \delta(x)	laplacetransform\:\delta(x)
taylor x^2e^{x-1}1	taylor\:x^{2}e^{x-1}1
laplacetransform e^{-2t}	laplacetransform\:e^{-2t}
derivative of x^4-4x^3+6	\frac{d}{dx}(x^{4}-4x^{3}+6)
x^{''}-5x^'+6x=cos(t)e^{-t}	x^{\prime\:\prime\:}-5x^{\prime\:}+6x=\cos(t)e^{-t}
tangent of f(x)= 2/(x+3),\at a=-4	tangent\:f(x)=\frac{2}{x+3},\at\:a=-4
sum from n=1 to infinity of sin(n+1)	\sum\:_{n=1}^{\infty\:}\sin(n+1)
tangent of (10-x)y^2=x^3,(2,1)	tangent\:(10-x)y^{2}=x^{3},(2,1)
integral of 1/(sqrt(16x^2+4))	\int\:\frac{1}{\sqrt{16x^{2}+4}}dx
derivative of sqrt(x)+(x-6)^6	derivative\:\sqrt{x}+(x-6)^{6}
integral of sqrt(x)(x-1)	\int\:\sqrt{x}(x-1)dx
derivative of e^{2+x}-2e^x+2ex	\frac{d}{dx}(e^{2+x}-2e^{x}+2ex)
limit as x approaches pi/3 of cot(3x)	\lim\:_{x\to\:\frac{π}{3}}(\cot(3x))
(\partial)/(\partial x)(x^2e^{5xy})	\frac{\partial\:}{\partial\:x}(x^{2}e^{5xy})
derivative of-ln(1+6x)	\frac{d}{dx}(-\ln(1+6x))
(\partial)/(\partial x)(cos^n(x))	\frac{\partial\:}{\partial\:x}(\cos^{n}(x))
integral from 0.5 to 1 of 4/9 x(5-x^2)	\int\:_{0.5}^{1}\frac{4}{9}x(5-x^{2})dx
limit as x approaches 0-of-2x^2+2x	\lim\:_{x\to\:0-}(-2x^{2}+2x)
integral of 3/(x(x-3)^2)	\int\:\frac{3}{x(x-3)^{2}}dx
integral of sec^2(y)	\int\:\sec^{2}(y)dy
sum from n=1 to infinity of (8/9)^n	\sum\:_{n=1}^{\infty\:}(\frac{8}{9})^{n}
limit as x approaches 0 of (7x+x^2)/x	\lim\:_{x\to\:0}(\frac{7x+x^{2}}{x})
integral of 30(25-x^2)	\int\:30(25-x^{2})dx
tangent of f(x)=7ln(x),\at x=3	tangent\:f(x)=7\ln(x),\at\:x=3
derivative of ae^x	\frac{d}{dx}(ae^{x})
derivative of f(x)=(2x+1)(3x-2)	derivative\:f(x)=(2x+1)(3x-2)
integral from 3 to e^4 of 1/x	\int\:_{3}^{e^{4}}\frac{1}{x}dx
area y=ln(x),y=0,x=e	area\:y=\ln(x),y=0,x=e
integral of cos(2)(x)	\int\:\cos(2)(x)dx
integral of (8+u)	\int\:(8+u)du
(dy)/(dx)+4y=7	\frac{dy}{dx}+4y=7
(dx)/(dx)	\frac{dx}{dx}
limit as x approaches 2 of x^2-1	\lim\:_{x\to\:2}(x^{2}-1)
integral of tan^5(x)sec^7(x)	\int\:\tan^{5}(x)\sec^{7}(x)dx
derivative of e^{x^2+y^2}	\frac{d}{dx}(e^{x^{2}+y^{2}})
integral of x/(sqrt(x^2-100))	\int\:\frac{x}{\sqrt{x^{2}-100}}dx
derivative of Ae^{-2x}x	\frac{d}{dx}(A\cdot\:e^{-2x}\cdot\:x)
integral of (x^{3/2}+8x+2)	\int\:(x^{\frac{3}{2}}+8x+2)dx
derivative of 2arctan(3x-ln(2+3x))	\frac{d}{dx}(2\arctan(3x)-\ln(2+3x))
integral from 3 to 6 of 1/(sqrt(36-x^2))	\int\:_{3}^{6}\frac{1}{\sqrt{36-x^{2}}}dx
derivative of f(t)=ln(cos(t))	derivative\:f(t)=\ln(\cos(t))
tangent of f(x)=e^xcos(x),(0,1)	tangent\:f(x)=e^{x}\cos(x),(0,1)
(\partial)/(\partial x)(ln(7x^2+y^2+6))	\frac{\partial\:}{\partial\:x}(\ln(7x^{2}+y^{2}+6))
derivative of 8x^3	derivative\:8x^{3}
xy^'+2y=-2e^x	xy^{\prime\:}+2y=-2e^{x}
limit as x approaches-3 of 7/(x+3)	\lim\:_{x\to\:-3}(\frac{7}{x+3})
y^'=t^2-y	y^{\prime\:}=t^{2}-y
derivative of arccos(3/x)	\frac{d}{dx}(\arccos(\frac{3}{x}))
7y^{''}+4y^'=0	7y^{\prime\:\prime\:}+4y^{\prime\:}=0
integral of (t^2+2)^3	\int\:(t^{2}+2)^{3}dt
d/(dt)(6sin(t))	\frac{d}{dt}(6\sin(t))
tangent of y=4x^2	tangent\:y=4x^{2}
limit as x approaches-2 of (x^2-1)(7x+3)	\lim\:_{x\to\:-2}((x^{2}-1)(7x+3))
inverse oflaplace 1/(s^2(s-1))	inverselaplace\:\frac{1}{s^{2}(s-1)}
integral of (3e^x+5sec^2(x))	\int\:(3e^{x}+5\sec^{2}(x))dx
(\partial)/(\partial y)((2y)/(x+z))	\frac{\partial\:}{\partial\:y}(\frac{2y}{x+z})
derivative of 8(x^3-x^4)	\frac{d}{dx}(8(x^{3}-x)^{4})
derivative of f(x)=1.58e^{-0.213x}	derivative\:f(x)=1.58e^{-0.213x}
derivative of f(x)=(4x)/(e^x)	derivative\:f(x)=\frac{4x}{e^{x}}
derivative of sqrt(35x)ln(20x)	derivative\:\sqrt{35x}\ln(20x)
integral of (15x^{-2}-5x)cos(6x^{-1}+x^2)	\int\:(15x^{-2}-5x)\cos(6x^{-1}+x^{2})dx
integral of 2^s	\int\:2^{s}ds
(dy)/(dx)=y-3	\frac{dy}{dx}=y-3
y^{''}-10y^'+y=0	y^{\prime\:\prime\:}-10y^{\prime\:}+y=0
integral of (24y-14)/(6y^2-7y)	\int\:\frac{24y-14}{6y^{2}-7y}dy
inverse oflaplace 1/(s(s+1))-1/(s+1)	inverselaplace\:\frac{1}{s(s+1)}-\frac{1}{s+1}
integral of 1/(x^2)sqrt(6+1/x)	\int\:\frac{1}{x^{2}}\sqrt{6+\frac{1}{x}}dx
limit as x approaches 0 of cot(4x)	\lim\:_{x\to\:0}(\cot(4x))
derivative of (2x^2-1/(x^3-x))	\frac{d}{dx}(\frac{2x^{2}-1}{x^{3}-x})
derivative of 1/(2sqrt(r))+1/(9r^{(8/9))}	derivative\:\frac{1}{2\sqrt{r}}+\frac{1}{9r^{(\frac{8}{9})}}
limit as x approaches 0 of 1/(3x^3)	\lim\:_{x\to\:0}(\frac{1}{3x^{3}})
y^{''}-2y^'+y=t^{sqrt(3)}e^t	y^{\prime\:\prime\:}-2y^{\prime\:}+y=t^{\sqrt{3}}e^{t}
derivative of 4x^2cos(3x)	\frac{d}{dx}(4x^{2}\cos(3x))
y^{''}-4y^'+4y=xe^{2x}	y^{\prime\:\prime\:}-4y^{\prime\:}+4y=xe^{2x}
derivative of (1+x+x^2^{99})	\frac{d}{dx}((1+x+x^{2})^{99})
(\partial)/(\partial u)((u^2+v^2)^{3/2})	\frac{\partial\:}{\partial\:u}((u^{2}+v^{2})^{\frac{3}{2}})
limit as x approaches 4-of 1/(x-4)	\lim\:_{x\to\:4-}(\frac{1}{x-4})
integral of (x^2-1)^{-1}	\int\:(x^{2}-1)^{-1}dx
implicit x^2+2y^2=2	implicit\:x^{2}+2y^{2}=2
area x^2+x-2,[-3,4]	area\:x^{2}+x-2,[-3,4]
integral from 1 to 2 of 3x^4ln(x)	\int\:_{1}^{2}3x^{4}\ln(x)dx
(\partial)/(\partial x)(y/z)	\frac{\partial\:}{\partial\:x}(\frac{y}{z})
derivative of x^3-5/x+4	\frac{d}{dx}(x^{3}-\frac{5}{x}+4)
integral of 2/(3\sqrt[3]{t)}-3/(1+t^2)	\int\:\frac{2}{3\sqrt[3]{t}}-\frac{3}{1+t^{2}}dt

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