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Popular Calculus Problems

derivative of f(x)= 4/x	derivative\:f(x)=\frac{4}{x}
integral of (3x^4-x^3+6x^2)/(x^4)	\int\:\frac{3x^{4}-x^{3}+6x^{2}}{x^{4}}dx
area y=12-x^2,y=x^2-6	area\:y=12-x^{2},y=x^{2}-6
derivative of (cos(7x)^x)	\frac{d}{dx}((\cos(7x))^{x})
area sqrt(x), 1/2 x,0,25	area\:\sqrt{x},\frac{1}{2}x,0,25
(\partial)/(\partial x)((3x-y)/(3x+y))	\frac{\partial\:}{\partial\:x}(\frac{3x-y}{3x+y})
integral of x(2x-1)^9	\int\:x(2x-1)^{9}dx
derivative of \sqrt[8]{x}-8e^x	\frac{d}{dx}(\sqrt[8]{x}-8e^{x})
tangent of f(x)=x^2-9,(4,7)	tangent\:f(x)=x^{2}-9,(4,7)
(\partial)/(\partial y)(ln(x^3+y^3))	\frac{\partial\:}{\partial\:y}(\ln(x^{3}+y^{3}))
6x+10,4x+44,x=15,x=19	6x+10,4x+44,x=15,x=19
integral from 3.5 to 7 of 274000-39200x	\int\:_{3.5}^{7}274000-39200xdx
derivative of tan(4x+4)	\frac{d}{dx}(\tan(4x+4))
integral of cos^2(x/3)	\int\:\cos^{2}(\frac{x}{3})dx
integral from-infinity to-1 of e^{-38t}	\int\:_{-\infty\:}^{-1}e^{-38t}dt
sum from n=1 to infinity of 5/(n^2+16)	\sum\:_{n=1}^{\infty\:}\frac{5}{n^{2}+16}
inverse oflaplace s^2+6s+7	inverselaplace\:s^{2}+6s+7
limit as x approaches pi/2 of x	\lim\:_{x\to\:\frac{π}{2}}(x)
derivative of y=(7ln(x))/(3x+4)	derivative\:y=\frac{7\ln(x)}{3x+4}
limit as x approaches 1/3 of 3x^3+2x^2	\lim\:_{x\to\:\frac{1}{3}}(3x^{3}+2x^{2})
normal of y= x/(x^2+1),\at x=-1	normal\:y=\frac{x}{x^{2}+1},\at\:x=-1
(\partial)/(\partial x)(2sqrt(x*y)-1/2 x^2)	\frac{\partial\:}{\partial\:x}(2\sqrt{x\cdot\:y}-\frac{1}{2}x^{2})
f(t)=6sin(t)	f(t)=6\sin(t)
integral from-1 to 3 of x/(x^2+4)	\int\:_{-1}^{3}\frac{x}{x^{2}+4}dx
derivative of x^2+7x+12	\frac{d}{dx}(x^{2}+7x+12)
integral of 1/(cos(x)sin(x)+cos^2(x))	\int\:\frac{1}{\cos(x)\sin(x)+\cos^{2}(x)}dx
integral of 8xln(7x)	\int\:8x\ln(7x)dx
derivative of (sin(x)/(x^2))	\frac{d}{dx}(\frac{\sin(x)}{x^{2}})
integral from y to x of (e^t)/t	\int\:_{y}^{x}\frac{e^{t}}{t}dt
slope of (32)(41.5)	slope\:(32)(41.5)
(\partial)/(\partial x)(x/(x^4-y^6))	\frac{\partial\:}{\partial\:x}(\frac{x}{x^{4}-y^{6}})
integral of cos^2(x)tan^3(x)	\int\:\cos^{2}(x)\tan^{3}(x)dx
f(x)=(e^x)/(x^2)	f(x)=\frac{e^{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}))
limit as x approaches 0 of 1/(1-x)	\lim\:_{x\to\:0}(\frac{1}{1-x})
y^'=0.5(3-y)	y^{\prime\:}=0.5(3-y)
y^{''}-21y^'+108y=0	y^{\prime\:\prime\:}-21y^{\prime\:}+108y=0
(dy)/(dx)+8y=x^2y^2	\frac{dy}{dx}+8y=x^{2}y^{2}
(\partial)/(\partial x)(3xcos(5xy))	\frac{\partial\:}{\partial\:x}(3x\cos(5xy))
derivative of 1/2 (x^4+7)	derivative\:\frac{1}{2}(x^{4}+7)
integral of e^x0.2	\int\:e^{x}0.2dx
tangent of f(x)=x^3-2x^2-6x+6,\at x=0	tangent\:f(x)=x^{3}-2x^{2}-6x+6,\at\:x=0
integral of (3x)^2	\int\:(3x)^{2}dx
derivative of-xy^3	\frac{d}{dx}(-xy^{3})
slope of (-2,4),(-1,-1)	slope\:(-2,4),(-1,-1)
integral from-a to a of (a-\|x\|)	\int\:_{-a}^{a}(a-\left\|x\right\|)dx
limit as a approaches 0 of x^a	\lim\:_{a\to\:0}(x^{a})
tangent of (x+7)/(x+1)	tangent\:\frac{x+7}{x+1}
tangent of y=4x^3-4x,(1,0)	tangent\:y=4x^{3}-4x,(1,0)
integral of (x+5)(x^3+5x-10)	\int\:(x+5)(x^{3}+5x-10)dx
integral of-x^2ln(x)	\int\:-x^{2}\ln(x)dx
integral of 24x^{-3}	\int\:24x^{-3}dx
integral from 0 to pi/2 of 8cos^5(x)	\int\:_{0}^{\frac{π}{2}}8\cos^{5}(x)dx
(dy)/(dx)=3x-y	\frac{dy}{dx}=3x-y
laplacetransform sin(t+pi/4)	laplacetransform\:\sin(t+\frac{π}{4})
integral from 0 to 1 of (1-x^2)^2	\int\:_{0}^{1}(1-x^{2})^{2}dx
(2-x)^'	(2-x)^{\prime\:}
derivative of-7cos(x)	\frac{d}{dx}(-7\cos(x))
area y=6x,y=3x^2	area\:y=6x,y=3x^{2}
integral from 0 to 1 of 9x	\int\:_{0}^{1}9xdx
integral of xarcsec(x)	\int\:x\arcsec(x)dx
integral of ((xe^{2x}))/((1+2x)^2)	\int\:\frac{(xe^{2x})}{(1+2x)^{2}}dx
tangent of f(x)= 1/x ,\at x=-2	tangent\:f(x)=\frac{1}{x},\at\:x=-2
derivative of (x^3/3+(x^2)/2-6x)	\frac{d}{dx}(\frac{x^{3}}{3}+\frac{x^{2}}{2}-6x)
derivative of 2e^{x^2}	\frac{d}{dx}(2e^{x^{2}})
(\partial)/(\partial x)((x+y)e^x)	\frac{\partial\:}{\partial\:x}((x+y)e^{x})
integral of 1/P	\int\:\frac{1}{P}dP
derivative of f(t)=0.1(400-40t+t^2)	derivative\:f(t)=0.1(400-40t+t^{2})
derivative of sqrt(x)+2sin(x)	\frac{d}{dx}(\sqrt{x}+2\sin(x))
integral of 1/(cos^2(t)*sqrt(1+tan(t)))	\int\:\frac{1}{\cos^{2}(t)\cdot\:\sqrt{1+\tan(t)}}dt
limit as x approaches 7-of (\|x-7\|)/(x-7)	\lim\:_{x\to\:7-}(\frac{\left\|x-7\right\|}{x-7})
derivative of f(x)=3x+4	derivative\:f(x)=3x+4
derivative of cos^9(x^2y^6)	\frac{d}{dx}(\cos^{9}(x^{2}y^{6}))
derivative of sqrt(14x)	derivative\:\sqrt{14x}
tangent of xy^3+xy=2,(1,1)	tangent\:xy^{3}+xy=2,(1,1)
tangent of f(x)= 4/(x^2),\at x=1	tangent\:f(x)=\frac{4}{x^{2}},\at\:x=1
derivative of (5x^3+7x^2/x)	\frac{d}{dx}(\frac{5x^{3}+7x^{2}}{x})
derivative of sqrt(x)-1/9 x	\frac{d}{dx}(\sqrt{x}-\frac{1}{9}x)
limit as x approaches 0 of e	\lim\:_{x\to\:0}(e)
sum from n=1 to infinity of (n-1)/(3n-1)	\sum\:_{n=1}^{\infty\:}\frac{n-1}{3n-1}
y^{''}+1500y=320	y^{\prime\:\prime\:}+1500y=320
derivative of f(x)=ln(18)	derivative\:f(x)=\ln(18)
integral of cos(x)sin(sin(x))	\int\:\cos(x)\sin(\sin(x))dx
area y=6cos(pix),y=8x^2-2,-0.5,0.5	area\:y=6\cos(πx),y=8x^{2}-2,-0.5,0.5
integral of 1/(2+2x)	\int\:\frac{1}{2+2x}dx
integral of sin(ln(13x))	\int\:\sin(\ln(13x))dx
tangent of f(x)=2x^2+5x,\at x=-3	tangent\:f(x)=2x^{2}+5x,\at\:x=-3
(d^2h)/(dt^2)=-kh	\frac{d^{2}h}{dt^{2}}=-kh
limit as x approaches 2 of 2x^2-3x+1	\lim\:_{x\to\:2}(2x^{2}-3x+1)
integral of (x^2)/4-1	\int\:\frac{x^{2}}{4}-1dx
y^{''}+36y=-36sec(6t)	y^{\prime\:\prime\:}+36y=-36\sec(6t)
derivative of sqrt(e^x+1)	\frac{d}{dx}(\sqrt{e^{x}+1})
derivative of (arctan(x))^2	derivative\:(\arctan(x))^{2}
(\partial)/(\partial x)(x^6)	\frac{\partial\:}{\partial\:x}(x^{6})
integral of ye^{-y/x}	\int\:ye^{-\frac{y}{x}}dy
integral from-infinity to 0 of 1/(6-2x)	\int\:_{-\infty\:}^{0}\frac{1}{6-2x}dx
derivative of 3/(sqrt(1-x^2))	\frac{d}{dx}(\frac{3}{\sqrt{1-x^{2}}})
(\partial)/(\partial x)(M/(2px))	\frac{\partial\:}{\partial\:x}(\frac{M}{2px})
limit as x approaches 3 of 3x^4+2x^2-5	\lim\:_{x\to\:3}(3x^{4}+2x^{2}-5)
f(x)=(-3x^2+2x+4)^{12}	f(x)=(-3x^{2}+2x+4)^{12}

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