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Popular Calculus Problems

inverse oflaplace 6/((s-2)^6)	inverselaplace\:\frac{6}{(s-2)^{6}}
f(x)= pi/x	f(x)=\frac{π}{x}
integral of (42x^7-7x)/(7x^5)	\int\:\frac{42x^{7}-7x}{7x^{5}}dx
integral of 1/(2x^6)	\int\:\frac{1}{2x^{6}}dx
tangent of f(x)=-x^2-3x+4,\at x=-3	tangent\:f(x)=-x^{2}-3x+4,\at\:x=-3
integral of (sqrt(x^2-144))/x	\int\:\frac{\sqrt{x^{2}-144}}{x}dx
integral of cos(y)cos(z)	\int\:\cos(y)\cos(z)dy
integral from 2 to 3 of (4/(x^2)+1)	\int\:_{2}^{3}(\frac{4}{x^{2}}+1)dx
integral of (-7)/((x^2+7)^{3/2)}	\int\:\frac{-7}{(x^{2}+7)^{\frac{3}{2}}}dx
sum from n=8 to infinity of n/(ln(n))	\sum\:_{n=8}^{\infty\:}\frac{n}{\ln(n)}
laplacetransform e^{-t}sin(t)	laplacetransform\:e^{-t}\sin(t)
limit as x approaches infinity of log_{e}(x^2-1)	\lim\:_{x\to\:\infty\:}(\log_{e}(x^{2}-1))
limit as x approaches 3 of f(x)	\lim\:_{x\to\:3}(f(x))
xy^'+y=cos(x)	xy^{\prime\:}+y=\cos(x)
integral of (4x 5/4-2x 1/4)/(x 1/4)	\int\:\frac{4x\frac{5}{4}-2x\frac{1}{4}}{x\frac{1}{4}}dx
integral from 0 to pi/2 of (3cos^2(x))	\int\:_{0}^{\frac{π}{2}}(3\cos^{2}(x))dx
inverse oflaplace 6/s+8a*1/(s^2+16)	inverselaplace\:\frac{6}{s}+8a\cdot\:\frac{1}{s^{2}+16}
(1/(cos^2(x)))^'	(\frac{1}{\cos^{2}(x)})^{\prime\:}
integral of 3sec^2(x)	\int\:3\sec^{2}(x)dx
limit as x approaches 5 of 2x^3-3x+8	\lim\:_{x\to\:5}(2x^{3}-3x+8)
tangent of x^2+x,\at x=-4	tangent\:x^{2}+x,\at\:x=-4
integral of x^2sqrt(6x+8)	\int\:x^{2}\sqrt{6x+8}dx
integral of arccos(x	\int\:\arccos(d)xdx
limit as x approaches 3pi-of 1+csc(x)	\lim\:_{x\to\:3π-}(1+\csc(x))
integral from-10 to 10 of (10)/(x^2+25)	\int\:_{-10}^{10}\frac{10}{x^{2}+25}dx
y=(sqrt(x))/(7+x)	y=\frac{\sqrt{x}}{7+x}
integral from 1 to 6 of 6x^2	\int\:_{1}^{6}6x^{2}dx
(\partial)/(\partial x)(9ye^{8x})	\frac{\partial\:}{\partial\:x}(9ye^{8x})
derivative of 1/(x(ln(x)^3))	\frac{d}{dx}(\frac{1}{x(\ln(x))^{3}})
integral of ln(sqrt(x))	\int\:\ln(\sqrt{x})dx
integral of (5e^x)/(e^{2x)+10e^x+25}	\int\:\frac{5e^{x}}{e^{2x}+10e^{x}+25}dx
limit as x approaches 2 of-(x)	\lim\:_{x\to\:2}(-(x))
y^{''}=t	y^{\prime\:\prime\:}=t
dy-(y-4)2dx=0	dy-(y-4)2dx=0
integral from 2 to 4 of (x^3+4)	\int\:_{2}^{4}(x^{3}+4)dx
derivative of ln(x+x^2)	\frac{d}{dx}(\ln(x+x^{2}))
integral of x^2-6x-7	\int\:x^{2}-6x-7dx
integral of x^2*2^{-x}	\int\:x^{2}\cdot\:2^{-x}dx
integral of xe^{-2}	\int\:xe^{-2}dx
derivative of f(x)=4+8x-5x^2	derivative\:f(x)=4+8x-5x^{2}
derivative of e^{e^{x^2}}	derivative\:e^{e^{x^{2}}}
(x^3-y^3)dx+(xy^2)dy=0	(x^{3}-y^{3})dx+(xy^{2})dy=0
(dy)/(dx)=3(y+7)x^2	\frac{dy}{dx}=3(y+7)x^{2}
derivative of (1-3t)/(6+t)	derivative\:\frac{1-3t}{6+t}
limit as x approaches 0 of-sin(x)	\lim\:_{x\to\:0}(-\sin(x))
derivative of 2x^2-16x+35	\frac{d}{dx}(2x^{2}-16x+35)
integral of e^{tan(7x)}sec^2(7x)	\int\:e^{\tan(7x)}\sec^{2}(7x)dx
derivative of y=10x	derivative\:y=10x
derivative of 3/(x^2-2x)	\frac{d}{dx}(\frac{3}{x^{2}-2x})
integral of (4x-1)/(sqrt(3-4x-x^2))	\int\:\frac{4x-1}{\sqrt{3-4x-x^{2}}}dx
integral of (4x^3+1)^612x^2	\int\:(4x^{3}+1)^{6}12x^{2}dx
integral of (1-cos(2x))/(1+cos(2x))	\int\:\frac{1-\cos(2x)}{1+\cos(2x)}dx
integral from 0 to 5 of 5-y	\int\:_{0}^{5}5-ydy
derivative of sqrt(t/(t^2+7))	derivative\:\sqrt{\frac{t}{t^{2}+7}}
(dx)/(dt)+4tx=t,x(0)=0	\frac{dx}{dt}+4tx=t,x(0)=0
integral of x/7 sqrt(49+x^2)	\int\:\frac{x}{7}\sqrt{49+x^{2}}dx
derivative of e^{-2x}-x	\frac{d}{dx}(e^{-2x}-x)
integral of (4x-3)^9	\int\:(4x-3)^{9}dx
(\partial)/(\partial y)(y^3cos(4x))	\frac{\partial\:}{\partial\:y}(y^{3}\cos(4x))
derivative of (1+4x^2(x-x^2))	\frac{d}{dx}((1+4x^{2})(x-x^{2}))
integral of x-y^3+y^2sin(x)	\int\:x-y^{3}+y^{2}\sin(x)dx
maclaurin (1+x)^{-2/5}	maclaurin\:(1+x)^{-\frac{2}{5}}
integral of e^{-kx}cos(wx)	\int\:e^{-kx}\cos(wx)dx
3y^{''}-6y^'+30y=e^xtan(3x)	3y^{\prime\:\prime\:}-6y^{\prime\:}+30y=e^{x}\tan(3x)
(\partial)/(\partial x)(4x^2+3y^2)	\frac{\partial\:}{\partial\:x}(4x^{2}+3y^{2})
integral of (5x^3+2)/(x^3-5x^2+4x)	\int\:\frac{5x^{3}+2}{x^{3}-5x^{2}+4x}dx
integral of csc((x-pi)/2)cot((x-pi)/2)	\int\:\csc(\frac{x-π}{2})\cot(\frac{x-π}{2})dx
limit as x approaches 0 of x^8cos(6/x)	\lim\:_{x\to\:0}(x^{8}\cos(\frac{6}{x}))
derivative of 2/(x+4)	\frac{d}{dx}(\frac{2}{x+4})
inverse oflaplace (100)/(s^3+25s)	inverselaplace\:\frac{100}{s^{3}+25s}
derivative of x^{-6/7}	\frac{d}{dx}(x^{-\frac{6}{7}})
derivative of (6x^2+2x+6/(sqrt(x)))	\frac{d}{dx}(\frac{6x^{2}+2x+6}{\sqrt{x}})
(\partial)/(\partial x)(7^{x^2+1})	\frac{\partial\:}{\partial\:x}(7^{x^{2}+1})
derivative of sqrt(x\sqrt{x\sqrt{x)}}	derivative\:\sqrt{x\sqrt{x\sqrt{x}}}
integral of csc^2(4x)	\int\:\csc^{2}(4x)dx
area y=x^8,y=x^6	area\:y=x^{8},y=x^{6}
y^2(dy)/(dx)=e^x	y^{2}\frac{dy}{dx}=e^{x}
integral of x^{1/5}	\int\:x^{\frac{1}{5}}dx
integral of 54x	\int\:54xdx
integral of 5cos^3(4x)	\int\:5\cos^{3}(4x)dx
derivative of x^{2/3}+1	\frac{d}{dx}(x^{\frac{2}{3}}+1)
integral of-tcos(t)	\int\:-t\cos(t)dt
tangent of f(x)= 1/(x^2),(1,1)	tangent\:f(x)=\frac{1}{x^{2}},(1,1)
derivative of (10/(sqrt(x^2-4x+1)))	\frac{d}{dx}(\frac{10}{\sqrt{x^{2}-4x+1}})
integral of (x+7)(x-3)	\int\:(x+7)(x-3)dx
integral of 4x-4	\int\:4x-4dx
derivative of (e^{x^2}/(x^3))	\frac{d}{dx}(\frac{e^{x^{2}}}{x^{3}})
derivative of 2(x-1)	derivative\:2(x-1)
integral of e^{2y-y^2}	\int\:e^{2y-y^{2}}dy
limit as x approaches 3 of sqrt(x-x)	\lim\:_{x\to\:3}(\sqrt{x-x})
3(dy)/(dx)=(e^ysin^2(x))/(ysec(x))	3\frac{dy}{dx}=\frac{e^{y}\sin^{2}(x)}{y\sec(x)}
integral of (x+1)/((x^2+4x+5)^2)	\int\:\frac{x+1}{(x^{2}+4x+5)^{2}}dx
integral from-1 to 3 of x^2	\int\:_{-1}^{3}x^{2}dx
derivative of f(x)=(4a+1)^2	derivative\:f(x)=(4a+1)^{2}
slope of y=(xln(x))/6+(2x)/3	slope\:y=\frac{x\ln(x)}{6}+\frac{2x}{3}
integral of 5xe^{2x}	\int\:5xe^{2x}dx
derivative of arcsec(4x)	derivative\:\arcsec(4x)
derivative of y=-5/((x+3)^2)	derivative\:y=-\frac{5}{(x+3)^{2}}
derivative of f(x)=2x+7	derivative\:f(x)=2x+7
integral of ((x^2-1))/(x^3+x)	\int\:\frac{(x^{2}-1)}{x^{3}+x}dx

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