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Popular Calculus Problems

limit as p approaches 0 of p^2sin(1/p)	\lim\:_{p\to\:0}(p^{2}\sin(\frac{1}{p}))
(dN)/(dt)=N(1-0.0002N)	\frac{dN}{dt}=N(1-0.0002N)
derivative of c_{1}cos(2x+c_{2}sin(2x))	\frac{d}{dx}(c_{1}\cos(2x)+c_{2}\sin(2x))
derivative of y=x^8	derivative\:y=x^{8}
integral of xcos((npix)/l)	\int\:x\cos(\frac{nπx}{l})dx
taylor 2^x,0	taylor\:2^{x},0
integral of 1/(sqrt(625+x^2))	\int\:\frac{1}{\sqrt{625+x^{2}}}dx
integral of (x^2-1)e^{2x}	\int\:(x^{2}-1)e^{2x}dx
integral of 6/(sqrt(8-3x))	\int\:\frac{6}{\sqrt{8-3x}}dx
tangent of f(x)= 4/x ,\at x=-9	tangent\:f(x)=\frac{4}{x},\at\:x=-9
derivative of (3x^2-6x+6e^x)	\frac{d}{dx}((3x^{2}-6x+6)e^{x})
integral from 0 to h of 1/(2sqrt(hx))	\int\:_{0}^{h}\frac{1}{2\sqrt{hx}}dx
integral of (x^2+5)ln(x)	\int\:(x^{2}+5)\ln(x)dx
derivative of (\sqrt[3]{x})/x	derivative\:\frac{\sqrt[3]{x}}{x}
integral of (-16)/(sqrt(4-x^2))	\int\:\frac{-16}{\sqrt{4-x^{2}}}dx
y^{''}+2y^'+2y=0,y(0)=1,y^'(0)=0	y^{\prime\:\prime\:}+2y^{\prime\:}+2y=0,y(0)=1,y^{\prime\:}(0)=0
laplacetransform 2t^2-2t+1	laplacetransform\:2t^{2}-2t+1
derivative of f(x)=e^{-x+1}x-2e^{-x+1}	derivative\:f(x)=e^{-x+1}x-2e^{-x+1}
derivative of sqrt(1+sin(2x))	\frac{d}{dx}(\sqrt{1+\sin(2x)})
derivative of ln(x+sqrt(1+x^2))	derivative\:\ln(x+\sqrt{1+x^{2}})
limit as x approaches infinity of (256^{x/2})/(4^{2x)}	\lim\:_{x\to\:\infty\:}(\frac{256^{\frac{x}{2}}}{4^{2x}})
integral of 6/(x^2+4)	\int\:\frac{6}{x^{2}+4}dx
integral of (2x+3)^5	\int\:(2x+3)^{5}dx
derivative of 7/(sqrt(x+9))	\frac{d}{dx}(\frac{7}{\sqrt{x+9}})
derivative of (350/(sqrt(x^2+y^2)))	\frac{d}{dx}(\frac{350}{\sqrt{x^{2}+y^{2}}})
derivative of 1/3 x^{3/2}	derivative\:\frac{1}{3}x^{\frac{3}{2}}
integral from-1/5 to 1/5 of 1/(1-x^2)	\int\:_{-\frac{1}{5}}^{\frac{1}{5}}\frac{1}{1-x^{2}}dx
limit as x approaches 4-of sqrt(x-4)	\lim\:_{x\to\:4-}(\sqrt{x-4})
derivative of t^9cos(t)	derivative\:t^{9}\cos(t)
integral of (ln(x)sin(ln(x)))/x	\int\:\frac{\ln(x)\sin(\ln(x))}{x}dx
derivative of tcos(t)	derivative\:t\cos(t)
area y=sqrt(4x),x=4,x=9	area\:y=\sqrt{4x},x=4,x=9
integral of 1/(t^2+4)	\int\:\frac{1}{t^{2}+4}dt
integral of-2+18x-12x^2	\int\:-2+18x-12x^{2}dx
derivative of f(x)=x^3-5x^2	derivative\:f(x)=x^{3}-5x^{2}
inverse oflaplace (-1)/s	inverselaplace\:\frac{-1}{s}
integral of-cos(3x)	\int\:-\cos(3x)dx
integral of 3sin(2x)	\int\:3\sin(2x)dx
16(d^4y)/(dx^4)+48(d^2y)/(dx^2)+36y=0	16\frac{d^{4}y}{dx^{4}}+48\frac{d^{2}y}{dx^{2}}+36y=0
area x,x^2-4x+3	area\:x,x^{2}-4x+3
derivative of sin(x)ln(sec(x)+tan(x))-1	derivative\:\sin(x)\ln(\sec(x)+\tan(x))-1
limit as x approaches 6 of (x^2-5)/(x-6)	\lim\:_{x\to\:6}(\frac{x^{2}-5}{x-6})
derivative of f(x)=x^2sqrt(3x+5)	derivative\:f(x)=x^{2}\sqrt{3x+5}
derivative of cos(a^4+x^4)	derivative\:\cos(a^{4}+x^{4})
sum from n=0 to infinity of (-1)^n((ln(2))^n)/(n!)	\sum\:_{n=0}^{\infty\:}(-1)^{n}\frac{(\ln(2))^{n}}{n!}
area 12-x^2,x^2-6,-3,3	area\:12-x^{2},x^{2}-6,-3,3
limit as x approaches 0 of csc(x)ln(x+1)	\lim\:_{x\to\:0}(\csc(x)\ln(x+1))
y^{''}-8y^'+20y=100x^2-91xe^x	y^{\prime\:\prime\:}-8y^{\prime\:}+20y=100x^{2}-91xe^{x}
derivative of (250/(1+4e^{-0.75x)})	\frac{d}{dx}(\frac{250}{1+4e^{-0.75x}})
integral of (-e^{4x})/(4x)	\int\:\frac{-e^{4x}}{4x}dx
integral of 27x^2cos(3x)	\int\:27x^{2}\cos(3x)dx
integral of-(1000)/(x^2)	\int\:-\frac{1000}{x^{2}}dx
integral from 0 to 3 of 1/(sqrt(3-x))	\int\:_{0}^{3}\frac{1}{\sqrt{3-x}}dx
integral of cos(x)e^{-3x}	\int\:\cos(x)e^{-3x}dx
derivative of 2sin(3x)	derivative\:2\sin(3x)
(\partial)/(\partial x)(((4x-4y))/(4x+4y))	\frac{\partial\:}{\partial\:x}(\frac{(4x-4y)}{4x+4y})
(\partial)/(\partial x)(tan(8+2x^2y^4z^2))	\frac{\partial\:}{\partial\:x}(\tan(8+2x^{2}y^{4}z^{2}))
area 4cos(3x),4sin(6x),0, pi/6	area\:4\cos(3x),4\sin(6x),0,\frac{π}{6}
integral from 0.1 to 0.2 of 300x	\int\:_{0.1}^{0.2}300xdx
integral of sqrt(cos(x))	\int\:\sqrt{\cos(x)}dx
f(x)=sqrt(x)sin(x)	f(x)=\sqrt{x}\sin(x)
limit as x approaches-3 of g(x)(f(x))	\lim\:_{x\to\:-3}(g(x)(f(x)))
integral of x(1-x)^{10}	\int\:x(1-x)^{10}dx
t(dQ)/(dt)+Q=t^5ln(t)	t\frac{dQ}{dt}+Q=t^{5}\ln(t)
integral of 3/(1+2e^x-e^{-x)}	\int\:\frac{3}{1+2e^{x}-e^{-x}}dx
integral of ((xe^x))/((1+x)^2)	\int\:\frac{(xe^{x})}{(1+x)^{2}}dx
integral of (x+1)sqrt(6-x)	\int\:(x+1)\sqrt{6-x}dx
limit as x approaches-3-of sqrt(x^3+27)	\lim\:_{x\to\:-3-}(\sqrt{x^{3}+27})
f(x)= 1/(3x^2)	f(x)=\frac{1}{3x^{2}}
taylor log_{10}(x+1)	taylor\:\log_{10}(x+1)
d/(dl)((dl^2-d-al^3-bl^2)/(l^2))	\frac{d}{dl}(\frac{dl^{2}-d-al^{3}-bl^{2}}{l^{2}})
integral of (sin(2x))/((1-cos^2(x))^3)	\int\:\frac{\sin(2x)}{(1-\cos^{2}(x))^{3}}dx
derivative of 17e^x	derivative\:17e^{x}
(\partial)/(\partial t)(e^{-t})	\frac{\partial\:}{\partial\:t}(e^{-t})
integral of cos(3x)sin(x)	\int\:\cos(3x)\sin(x)dx
integral of p(p+9)^8	\int\:p(p+9)^{8}dp
integral of (2x-3)/x	\int\:\frac{2x-3}{x}dx
sqrt(x)+sqrt(y)(dy)/(dx)=0,y(16)=4	\sqrt{x}+\sqrt{y}\frac{dy}{dx}=0,y(16)=4
integral of (-8)/(sqrt(x^2+16))	\int\:\frac{-8}{\sqrt{x^{2}+16}}dx
derivative of arctan(sin(7x))	\frac{d}{dx}(\arctan(\sin(7x)))
integral of o	\int\:odo
2yy^'+2=y^2+2x,y(0)=8	2yy^{\prime\:}+2=y^{2}+2x,y(0)=8
derivative of xarcsec(x^3)	\frac{d}{dx}(x\arcsec(x^{3}))
inverse oflaplace ((6+6s))/(2s^2+1)	inverselaplace\:\frac{(6+6s)}{2s^{2}+1}
derivative of 9x^{1/2}	derivative\:9x^{\frac{1}{2}}
limit as x approaches 0 of ((sin(3x)))/x	\lim\:_{x\to\:0}(\frac{(\sin(3x))}{x})
x^2y^{''}-5xy^'+9y=0	x^{2}y^{\prime\:\prime\:}-5xy^{\prime\:}+9y=0
limit as x approaches 2 of x^2-7x+5	\lim\:_{x\to\:2}(x^{2}-7x+5)
integral from 0 to 1 of xe^{-8x^2}	\int\:_{0}^{1}xe^{-8x^{2}}dx
(dy)/(dx)+9y=3	\frac{dy}{dx}+9y=3
y^{''}+2y=cos(t)-2*sin(2t)	y^{\prime\:\prime\:}+2y=\cos(t)-2\cdot\:\sin(2t)
integral of 3e^{-3x}	\int\:3e^{-3x}dx
integral of-2x+4	\int\:-2x+4dx
integral of 6x^3e^{x^4}	\int\:6x^{3}e^{x^{4}}dx
integral of 4x^2cos(mx)	\int\:4x^{2}\cos(mx)dx
integral of (7-1/(x^6))^2(1/(x^7))	\int\:(7-\frac{1}{x^{6}})^{2}(\frac{1}{x^{7}})dx
derivative of ln(p)	derivative\:\ln(p)
integral of (3+5x-6x^2-7x^3)/(2x^2)	\int\:\frac{3+5x-6x^{2}-7x^{3}}{2x^{2}}dx
integral of t/(t^4+7)	\int\:\frac{t}{t^{4}+7}dt
slope of (8-1)(82)	slope\:(8-1)(82)

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