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Popular Calculus Problems

integral of ((x^2-4)^{5/2})/x	\int\:\frac{(x^{2}-4)^{\frac{5}{2}}}{x}dx
limit as x approaches 0 of 1/(2sqrt(x))	\lim\:_{x\to\:0}(\frac{1}{2\sqrt{x}})
integral of 1/((5-4x-x^2)^{3/2)}	\int\:\frac{1}{(5-4x-x^{2})^{\frac{3}{2}}}dx
derivative of y=(2x)^8	derivative\:y=(2x)^{8}
limit as x approaches 1 of (ln(x))^2	\lim\:_{x\to\:1}((\ln(x))^{2})
derivative of (-3x+1)^3(2x-1)^4	derivative\:(-3x+1)^{3}(2x-1)^{4}
derivative of (-x^2-2x/((x^2+x+1)^2))	\frac{d}{dx}(\frac{-x^{2}-2x}{(x^{2}+x+1)^{2}})
xyy^'=x^2y+y^2	xyy^{\prime\:}=x^{2}y+y^{2}
(\partial)/(\partial y)(ycos(x)+2xe^y)	\frac{\partial\:}{\partial\:y}(y\cos(x)+2xe^{y})
(\partial)/(\partial x)(x^2y^2+xy+2)	\frac{\partial\:}{\partial\:x}(x^{2}y^{2}+xy+2)
derivative of 6x^{3/2}+1	\frac{d}{dx}(6x^{\frac{3}{2}}+1)
integral of cos^2(3x)	\int\:\cos^{2}(3x)dx
f(x)=arcsin(2x+1)	f(x)=\arcsin(2x+1)
derivative of sqrt(x^2-2x+2)(x+1)	\frac{d}{dx}(\sqrt{x^{2}-2x+2}(x+1))
derivative of (sqrt(x)-1/(x-1))	\frac{d}{dx}(\frac{\sqrt{x}-1}{x-1})
integral of 16sin^3(xco)s^2x	\int\:16\sin^{3}(xco)s^{2}xdx
integral of sin(xt)	\int\:\sin(xt)dt
d/(d{x)}(sqrt({x)+{y}+{z}})	\frac{d}{d{x}}(\sqrt{{x}+{y}+{z}})
integral of (2x^3+6x^2+7x+4)/(x^2+3x+2)	\int\:\frac{2x^{3}+6x^{2}+7x+4}{x^{2}+3x+2}dx
tangent of y= 1/(sqrt(x)),(1,1)	tangent\:y=\frac{1}{\sqrt{x}},(1,1)
derivative of (x^2+3x-9e^x)	\frac{d}{dx}((x^{2}+3x-9)e^{x})
derivative of x^3+ky(x^2-5xy)	\frac{d}{dx}(x^{3}+ky(x)^{2}-5xy)
tangent of (16x)/(x^2+16),\at-2,-8/5	tangent\:\frac{16x}{x^{2}+16},\at\:-2,-\frac{8}{5}
(\partial)/(\partial x)(2e^{xy})	\frac{\partial\:}{\partial\:x}(2e^{xy})
integral of (sqrt(2-x^2))/x	\int\:\frac{\sqrt{2-x^{2}}}{x}dx
taylor xe^x,0	taylor\:xe^{x},0
integral of-2/3 xcos(3x)	\int\:-\frac{2}{3}x\cos(3x)dx
derivative of f(t)=te^tcot(t)	derivative\:f(t)=te^{t}\cot(t)
derivative of f(x)= 5/x ,x=-1	derivative\:f(x)=\frac{5}{x},x=-1
derivative of arctan(sqrt((1-x)/(1+x)))	derivative\:\arctan(\sqrt{\frac{1-x}{1+x}})
limit as x approaches-infinity of sqrt(81x^2+x)-9x	\lim\:_{x\to\:-\infty\:}(\sqrt{81x^{2}+x}-9x)
sum from n=0 to infinity of 9(x/7)^n	\sum\:_{n=0}^{\infty\:}9(\frac{x}{7})^{n}
derivative of sqrt(x)-8x	\frac{d}{dx}(\sqrt{x}-8x)
derivative of y=43x^2+(x^2)^{43}	derivative\:y=43x^{2}+(x^{2})^{43}
limit as x approaches 2 of (2x^2)/(2x+2)	\lim\:_{x\to\:2}(\frac{2x^{2}}{2x+2})
integral of (2+tan^2(θ))	\int\:(2+\tan^{2}(θ))dθ
derivative of (5x/(x^2+1))	\frac{d}{dx}(\frac{5x}{x^{2}+1})
sum from n=1 to infinity of 1/(n^2+3)	\sum\:_{n=1}^{\infty\:}\frac{1}{n^{2}+3}
derivative of f(x)=(8x^3-3x+2)/(3x-x^4)	derivative\:f(x)=\frac{8x^{3}-3x+2}{3x-x^{4}}
(cos(x^2)*2x)^'	(\cos(x^{2})\cdot\:2x)^{\prime\:}
(\partial)/(\partial x)(ln(x^2+y^2+xy))	\frac{\partial\:}{\partial\:x}(\ln(x^{2}+y^{2}+xy))
(\partial)/(\partial y)(2ky-5x)	\frac{\partial\:}{\partial\:y}(2ky-5x)
integral of y^{-1/3}	\int\:y^{-\frac{1}{3}}dy
integral of (5x-12)/(x^3-6x^2+8x)	\int\:\frac{5x-12}{x^{3}-6x^{2}+8x}dx
integral of (x-3)/(x^2+1)	\int\:\frac{x-3}{x^{2}+1}dx
tangent of 7/(2x+1),\at a=4	tangent\:\frac{7}{2x+1},\at\:a=4
tangent of 2x^3-6x^2-90x+1	tangent\:2x^{3}-6x^{2}-90x+1
tangent of 4x-4sqrt(x)	tangent\:4x-4\sqrt{x}
f(x)=e^{8x}	f(x)=e^{8x}
limit as x approaches x/4 of tan(2x)	\lim\:_{x\to\:\frac{x}{4}}(\tan(2x))
integral of cos(2x)e^{3x}	\int\:\cos(2x)e^{3x}dx
derivative of y=arctan(sqrt(x))	derivative\:y=\arctan(\sqrt{x})
integral of 3x-4	\int\:3x-4dx
integral from 0 to 1 of (3x-2)^2	\int\:_{0}^{1}(3x-2)^{2}dx
tangent of y=x^2+x,(2,-3)	tangent\:y=x^{2}+x,(2,-3)
f^'(x)=x^3(x^4-1)	f^{\prime\:}(x)=x^{3}(x^{4}-1)
limit as x approaches 0 of 1/(1+5^{2/x)}	\lim\:_{x\to\:0}(\frac{1}{1+5^{\frac{2}{x}}})
integral of sin(1/3 x)	\int\:\sin(\frac{1}{3}x)dx
(\partial)/(\partial x)(2sin(3x))	\frac{\partial\:}{\partial\:x}(2\sin(3x))
derivative of cos^3(3x)	\frac{d}{dx}(\cos^{3}(3x))
f(x)=sqrt(3x+7)	f(x)=\sqrt{3x+7}
derivative of y=3^{x-1}	derivative\:y=3^{x-1}
f(x)= x/(x^2+9)	f(x)=\frac{x}{x^{2}+9}
y^{''}-2y^'+2y=x+e^x	y^{\prime\:\prime\:}-2y^{\prime\:}+2y=x+e^{x}
limit as x approaches 0 of-5^2	\lim\:_{x\to\:0}(-5^{2})
derivative of xlog_{10}(x)	\frac{d}{dx}(x\log_{10}(x))
integral of ysin(xy)	\int\:y\sin(xy)dx
derivative of-4x^{10}	\frac{d}{dx}(-4x^{10})
(dy)/(dt)=-3y+12	\frac{dy}{dt}=-3y+12
integral of (x-4)sin(pix)	\int\:(x-4)\sin(πx)dx
integral of (4x)/((1+x^2))	\int\:\frac{4x}{(1+x^{2})}dx
3xy^'-2y=x^3y^{-2}	3xy^{\prime\:}-2y=x^{3}y^{-2}
(\partial)/(\partial y)(x(e^y+e^{-y}))	\frac{\partial\:}{\partial\:y}(x(e^{y}+e^{-y}))
integral of (-6x^2)/((2-2x^3)^2)	\int\:\frac{-6x^{2}}{(2-2x^{3})^{2}}dx
integral of sin^3(x	\int\:\sin^{3}(d)xdx
tangent of f(x)=(x^3-16x)^{10},(4,0)	tangent\:f(x)=(x^{3}-16x)^{10},(4,0)
integral from 0 to pi/3 of cos^2(x)	\int\:_{0}^{\frac{π}{3}}\cos^{2}(x)dx
integral of (ln(u))/u	\int\:\frac{\ln(u)}{u}du
laplacetransform f^9	laplacetransform\:f^{9}
sum from n=1 to infinity of 5/(n^2)	\sum\:_{n=1}^{\infty\:}\frac{5}{n^{2}}
integral of (sqrt(2x)+1)^3sqrt(2)	\int\:(\sqrt{2x}+1)^{3}\sqrt{2}dx
derivative of x^5-6	\frac{d}{dx}(x^{5}-6)
integral of tarctan(t)	\int\:t\arctan(t)dt
integral of cos(6x)cos(8x)	\int\:\cos(6x)\cos(8x)dx
limit as x approaches 0 of-x	\lim\:_{x\to\:0}(-x)
integral of 40x	\int\:40xdx
derivative of (6x^2-x^4/9)	\frac{d}{dx}(\frac{6x^{2}-x^{4}}{9})
(\partial)/(\partial x)(2z^3*ysin(x))	\frac{\partial\:}{\partial\:x}(2z^{3}\cdot\:y\sin(x))
derivative of 2/(\sqrt[4]{16x^3)}	derivative\:\frac{2}{\sqrt[4]{16x^{3}}}
limit as t approaches-infinity of ((-2t-2))/(e^t)	\lim\:_{t\to\:-\infty\:}(\frac{(-2t-2)}{e^{t}})
integral from 0 to 2 of sin(pix)	\int\:_{0}^{2}\sin(πx)dx
integral of pi/(x^2)	\int\:\frac{π}{x^{2}}dx
integral of 2/(x^2+x+1)	\int\:\frac{2}{x^{2}+x+1}dx
integral of sqrt(9-t^2)	\int\:\sqrt{9-t^{2}}dt
area x+2,x^5+2	area\:x+2,x^{5}+2
derivative of-2sec^2(x)	\frac{d}{dx}(-2\sec^{2}(x))
x^2dy=(y^2-xy+x^2)dx	x^{2}dy=(y^{2}-xy+x^{2})dx
derivative of x+6/x	derivative\:x+\frac{6}{x}
derivative of (e^{4x}/(x^{20)})	\frac{d}{dx}(\frac{e^{4x}}{x^{20}})
derivative of 25xsin(11x)	\frac{d}{dx}(25x\sin(11x))

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