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Popular Calculus Problems
d/(dy)(1/y)
\frac{d}{dy}(\frac{1}{y})
limit as x approaches 2 of 2x^2-3x+1
\lim_{x\to\:2}(2x^{2}-3x+1)
slope of (-2,4)(-1,-1)
slope\:(-2,4)(-1,-1)
derivative of cos(7x)^x
\frac{d}{dx}(\cos(7x))^{x}
integral of (x^2)/4-1
\int\:\frac{x^{2}}{4}-1dx
derivative of-7cos(x)
\frac{d}{dx}(-7\cos(x))
derivative of sqrt(e^x+1)
\frac{d}{dx}(\sqrt{e^{x}+1})
derivative of tan(4x+4)
\frac{d}{dx}(\tan(4x+4))
limit as x approaches 7-of (|x-7|)/(x-7)
\lim_{x\to\:7-}(\frac{|x-7|}{x-7})
area y=2x^2,y=2x+6
area\:y=2x^{2},y=2x+6
derivative of f(x)= 4/x
derivative\:of\:f(x)=\frac{4}{x}
sum from n=1 to infinity of (n-1)/(3n-1)
\sum_{n=1}^{\infty\:}\frac{n-1}{3n-1}
derivative of cot^{-1}(15y)
derivative\:of\:\cot^{-1}(15y)
slope intercept of (0,13)\land (9,20)
slope\:intercept\:(0,13)\land\:(9,20)
area y=6cos(pi x),y=8x^2-2,-0.5,0.5
area\:y=6\cos(\pi\:x),y=8x^{2}-2,-0.5,0.5
tangent of f(x)=3sqrt(x),\at x=16
tangent\:of\:f(x)=3\sqrt{x},\at\:x=16
derivative of 1/2 (x^4+7)
derivative\:of\:\frac{1}{2}(x^{4}+7)
derivative of 3/(sqrt(1-x^2))
\frac{d}{dx}(\frac{3}{\sqrt{1-x^{2}}})
(3x^2y+2xy+y^3)+(x^2+y^2)((dy)/(dx))=0
(3x^{2}y+2xy+y^{3})+(x^{2}+y^{2})(\frac{dy}{dx})=0
integral of 24x^{-3}
\int\:24x^{-3}dx
derivative of sqrt(1-169x^2)arccos(13x)
\frac{d}{dx}(\sqrt{1-169x^{2}}\arccos(13x))
(xdy)/(dx)+5y=7x^2,f(2)=5
\frac{xdy}{dx}+5y=7x^{2},f(2)=5
tangent of f(x)=(4x+5)5,\at x=-1
tangent\:of\:f(x)=(4x+5)5,\at\:x=-1
integral from-infinity to 4 of e^{-x}
\int_{\:-\infty\:}^{4}e^{-x}dx
integral of e^x*1/x
\int\:e^{x}\cdot\:\frac{1}{x}dx
area x=-2,x=1,y=11x,y=x^2-12
area\:x=-2,x=1,y=11x,y=x^{2}-12
inverse of laplace (400)/((s(s^2+200)))
inverse\:laplace\:\frac{400}{(s(s^{2}+200))}
y^{''}+2y^'+y=4e^{-2t}
y^{\prime\:\prime\:}+2y^{\prime\:}+y=4e^{-2t}
derivative of sin(3x^2cos(2x))
\frac{d}{dx}(\sin(3)x^{2}\cos(2x))
tangent of f(x)=6x-4\at x=1
tangent\:of\:f(x)=6x-4\at\:x=1
derivative of f(x)=(ln(4))/3 e^x
derivative\:of\:f(x)=\frac{\ln(4)}{3}e^{x}
(dx)/(dt)=0.25-1/20 x,x(0)=0.5
\frac{dx}{dt}=0.25-\frac{1}{20}x,x(0)=0.5
integral from-1 to 2 of (y+2-y^2)
\int_{\:-1}^{2}(y+2-y^{2})dy
integral of t*e^t
\int\:t\cdot\:e^{t}dt
y^{''}+25y=3sec^3(5)
y^{\prime\:\prime\:}+25y=3\sec^{3}(5)
area sqrt(x), 1/2 x,0,25
area\:\sqrt{x},\frac{1}{2}x,0,25
integral of 1/(x+1)
\int\:\frac{1}{x+1}dx
x((dy)/(dx))+y=3xy^2
x(\frac{dy}{dx})+y=3xy^{2}
integral from 3.5 to 7 of 274000-39200x
\int_{\:3.5}^{7}274000-39200xdx
x/(x^2+y^2)
\frac{x}{x^{2}+y^{2}}
integral of cos^2(x/3)
\int\:\cos^{2}(\frac{x}{3})
limit as x approaches (pi)/2 of x
\lim_{x\to\:\frac{\pi}{2}}(x)
integral from-infinity to-1 of e^{-38t}
\int_{\:-\infty\:}^{-1}e^{-38t}dt
integral of 1/(cos(x)sin(x)+cos^2(x))
\int\:\frac{1}{\cos(x)\sin(x)+\cos^{2}(x)}dx
limit as x approaches 0 of 1/(1-x)
\lim_{x\to\:0}(\frac{1}{1-x})
derivative of (sin(x)/(x^2))
\frac{d}{dx}(\frac{\sin(x)}{x^{2}})
limit as x approaches 1/4 of 8x(x-1/5)
\lim_{x\to\:\frac{1}{4}}(8x(x-\frac{1}{5}))
slope of (32,0)(41,5)
slope\:(32,0)(41,5)
integral from-a to a of (a-|x|)
\int_{\:-a}^{a}(a-|x|)dx
tangent of f(x)=x^3-2x^2-6x+6,\at x=0
tangent\:of\:f(x)=x^{3}-2x^{2}-6x+6,\at\:x=0
partial derivative of x/(x^4-y^6)
\frac{\partial}{\partial\:x}(\frac{x}{x^{4}-y^{6}})
(2-x)'
(2-x)\prime\:
integral from 0 to 1 of (1-x^2)^2
\int_{\:0}^{1}(1-x^{2})^{2}dx
integral of 1/P
\int\:\frac{1}{P}dP
integral from 0 to 1 of 9x
\int_{\:0}^{1}9xdx
y^{''}+1500y=320
y^{\prime\:\prime\:}+1500y=320
partial derivative of (x+ye^x)
\frac{\partial}{\partial\:x}((x+y)e^{x})
derivative of f(x)=3x+4
derivative\:of\:f(x)=3x+4
(d^2h)/(dt^2)=-kh
\frac{d^{2}h}{dt^{2}}=-kh
integral of ye^{-y/x}
\int\:ye^{-\frac{y}{x}}dy
(-3x^2+2x+4)^{12}
(-3x^{2}+2x+4)^{12}
derivative of f(x)=cos^9(x^2y^6)
derivative\:of\:f(x)=\cos^{9}(x^{2}y^{6})
integral of 1/(2-t)+1/(2+t)
\int\:\frac{1}{2-t}+\frac{1}{2+t}dt
partial derivative of M/(2px)
\frac{\partial}{\partial\:x}(\frac{M}{2px})
derivative of sqrt(6)x+sqrt(7x)
\frac{d}{dx}(\sqrt{6}x+\sqrt{7x})
tangent of f(x)=2x^3-x^2+3x,\at x=1
tangent\:of\:f(x)=2x^{3}-x^{2}+3x,\at\:x=1
y^'+ky=e^{-7kx}
y^{\prime\:}+ky=e^{-7kx}
derivative of (x-2^{x+1})
\frac{d}{dx}((x-2)^{x+1})
derivative of (3sqrt(x)/2)
\frac{d}{dx}(\frac{3\sqrt{x}}{2})
limit as x approaches 6 of x^2-36
\lim_{x\to\:6}(x^{2}-36)
derivative of (-x^2+2x(3x+2)(x-1))
\frac{d}{dx}((-x^{2}+2x)(3x+2)(x-1))
integral of sqrt(x)(sqrt(a)-sqrt(x))^2
\int\:\sqrt{x}(\sqrt{a}-\sqrt{x})^{2}dx
partial derivative of sqrt(5x)
\frac{\partial}{\partial\:x}(\sqrt{5x})
integral from 0 to 2 of 2pi(5-x)(8-x^3)
\int_{\:0}^{2}2\pi(5-x)(8-x^{3})dx
(1+x)^2y^'+(1+x)y=1
(1+x)^{2}y^{\prime\:}+(1+x)y=1
sum from n=1 to infinity of 3*(4/3)^n
\sum_{n=1}^{\infty\:}3\cdot\:(\frac{4}{3})^{n}
integral from 1 to 3 of ((x)^3+e^{-3x})
\int_{\:1}^{3}((x)^{3}+e^{-3x})dx
derivative of 6ln(cos(x))
\frac{d}{dx}(6\ln(\cos(x)))
partial derivative of x^3+x^2y-4y^3
\frac{\partial}{\partial\:x}(x^{3}+x^{2}y-4y^{3})
integral from 0 to 4 of 4y-y^2
\int_{\:0}^{4}4y-y^{2}
(\partial)/(\partial y)(1+x^3+y^4)
\frac{\partial\:}{\partial\:y}(1+x^{3}+y^{4})
integral of 1/(xsqrt(x-2))
\int\:\frac{1}{x\sqrt{x-2}}dx
derivative of e^x+cos(x)
\frac{d}{dx}(e^{x}+\cos(x))
derivative of \sqrt[8]{x}-8e^x
\frac{d}{dx}(\sqrt[8]{x}-8e^{x})
integral from 1 to sqrt(x of)sec(t)
\int_{\:1}^{\sqrt{x}}\sec(t)dt
y^{''}-21y^'+108y=0
y^{\prime\:\prime\:}-21y^{\prime\:}+108y=0
2arctan(x)
2\arctan(x)
integral of 9xcos(8x)
\int\:9xcos(8x)dx
integral of-x^2ln(x)
\int\:-x^{2}\ln(x)dx
derivative of (10/(27x^{8/3)})
\frac{d}{dx}(\frac{10}{27x^{\frac{8}{3}}})
tangent of f(x)= 4/(x^2),\at x=1
tangent\:of\:f(x)=\frac{4}{x^{2}},\at\:x=1
area y=12-x^2,y=x^2-6
area\:y=12-x^{2},y=x^{2}-6
derivative of x^2+7x+12
\frac{d}{dx}(x^{2}+7x+12)
y^{''}+36y=-36sec(6t)
y^{\prime\:\prime\:}+36y=-36\sec(6t)
area 6x+10,4x+44,x=15,x=19
area\:6x+10,4x+44,x=15,x=19
integral of 1/(x^2+9)
\int\:\frac{1}{x^{2}+9}dx
integral from 0 to (pi)/2 of 8cos^5(x)
\int_{\:0}^{\frac{\pi}{2}}8\cos^{5}(x)dx
(e^x)/(x^2)
\frac{e^{x}}{x^{2}}
limit as x approaches 0 of ((tan(5x)))/x
\lim_{x\to\:0}(\frac{(\tan(5x))}{x})
derivative of sqrt(400-5x)
\frac{d}{dx}(\sqrt{400-5x})
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