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Popular Calculus Problems

limit as x approaches 0-of (\|3x\|)/x	\lim\:_{x\to\:0-}(\frac{\left\|3x\right\|}{x})
derivative of x-2cos(x)	\frac{d}{dx}(x-2\cos(x))
limit as x approaches 2+of e^{1/(2-x)}	\lim\:_{x\to\:2+}(e^{\frac{1}{2-x}})
tangent of-6x^2+9x+4x^3	tangent\:-6x^{2}+9x+4x^{3}
derivative of (8x+1^2)	\frac{d}{dx}((8x+1)^{2})
integral of (17)/((x+1)(x^2+16))	\int\:\frac{17}{(x+1)(x^{2}+16)}dx
integral of sec^3(θ)	\int\:\sec^{3}(θ)dθ
(\partial)/(\partial x)(x^3-2x^2+y^3-2y)	\frac{\partial\:}{\partial\:x}(x^{3}-2x^{2}+y^{3}-2y)
derivative of (sin^2(x)dx)	\frac{d}{dx}((\sin^{2}(x))dx)
integral of (x^2+5x^3-7)/(x^2)	\int\:\frac{x^{2}+5x^{3}-7}{x^{2}}dx
integral of (9x)/(1+x^4)	\int\:\frac{9x}{1+x^{4}}dx
limit as x approaches 2-of x+5	\lim\:_{x\to\:2-}(x+5)
tangent of (5x)/(x+3)	tangent\:\frac{5x}{x+3}
integral of sqrt(2+x)	\int\:\sqrt{2+x}dx
derivative of (sqrt(25-x^2)/(16x))	\frac{d}{dx}(\frac{\sqrt{25-x^{2}}}{16x})
(\partial ^2)/(\partial x\partial y)(sqrt(1+xy^2))	\frac{\partial\:^{2}}{\partial\:x\partial\:y}(\sqrt{1+xy^{2}})
integral from 2 to 11 of (x-3)^{-2/3}	\int\:_{2}^{11}(x-3)^{-\frac{2}{3}}dx
f(x)=arcsin(3x)	f(x)=\arcsin(3x)
taylor \|sin(x)\|	taylor\:\left\|\sin(x)\right\|
sum from n=4 to infinity of (1/4)^n	\sum\:_{n=4}^{\infty\:}(\frac{1}{4})^{n}
integral of (2x+3)/((x-3)(x+3))	\int\:\frac{2x+3}{(x-3)(x+3)}dx
(\partial)/(\partial x)(tan(y)e^x)	\frac{\partial\:}{\partial\:x}(\tan(y)e^{x})
limit as x approaches 1 of x^2-2x+1	\lim\:_{x\to\:1}(x^{2}-2x+1)
sum from n=0 to infinity of 6^{n+1}	\sum\:_{n=0}^{\infty\:}6^{n+1}
sum from n=0 to infinity of (-1)^ne^{-n}	\sum\:_{n=0}^{\infty\:}(-1)^{n}e^{-n}
integral of e^{9x}cos(x)	\int\:e^{9x}\cos(x)dx
derivative of (((x+1))/(x-1))^3	derivative\:(\frac{(x+1)}{x-1})^{3}
limit as x approaches 1 of 1-x	\lim\:_{x\to\:1}(1-x)
integral of 3/(x^2)cos(3/x)	\int\:\frac{3}{x^{2}}\cos(\frac{3}{x})dx
inverse oflaplace 1/(s^3+6s^2+9s)	inverselaplace\:\frac{1}{s^{3}+6s^{2}+9s}
integral of 3/(10-t)	\int\:\frac{3}{10-t}dt
integral of 35arctan(sqrt(x))	\int\:35\arctan(\sqrt{x})dx
7(x^2+y^2)dx+8xydy=0	7(x^{2}+y^{2})dx+8xydy=0
limit as x approaches 0-of (cos(x))/x	\lim\:_{x\to\:0-}(\frac{\cos(x)}{x})
y=(x+1)/(e^x)	y=\frac{x+1}{e^{x}}
derivative of sqrt(5x+2)	derivative\:\sqrt{5x+2}
tangent of x^4-10x^2+9	tangent\:x^{4}-10x^{2}+9
integral of 4e^u	\int\:4e^{u}du
derivative of (3x^2-4x)/(sqrt(x))	derivative\:\frac{3x^{2}-4x}{\sqrt{x}}
integral of x+sqrt(x)	\int\:x+\sqrt{x}dx
tangent of f(x)=3x+2/x ,\at x=2	tangent\:f(x)=3x+\frac{2}{x},\at\:x=2
(dy)/(dx)+7x^6y=x^6	\frac{dy}{dx}+7x^{6}y=x^{6}
derivative of (2x+4x^2)/((1+4x)^2)	derivative\:\frac{2x+4x^{2}}{(1+4x)^{2}}
derivative of e^{k^2x}	\frac{d}{dx}(e^{k^{2}x})
derivative of ((x+4^2)/(x+3))	\frac{d}{dx}(\frac{(x+4)^{2}}{x+3})
(x^2+1)y^{''}+2xy^'=0	(x^{2}+1)y^{\prime\:\prime\:}+2xy^{\prime\:}=0
ydx-(y-x)dy=0	ydx-(y-x)dy=0
y^'+1/2 y=0	y^{\prime\:}+\frac{1}{2}y=0
y^{''}+10y^'+y=0	y^{\prime\:\prime\:}+10y^{\prime\:}+y=0
derivative of ln^2(x+1)	\frac{d}{dx}(\ln^{2}(x+1))
derivative of (x^2+x^{1/2})	\frac{d}{dx}((x^{2}+x)^{\frac{1}{2}})
derivative of ((x^3-1/(2x^3+1))^4)	\frac{d}{dx}((\frac{x^{3}-1}{2x^{3}+1})^{4})
(\partial)/(\partial x)(2^{xy})	\frac{\partial\:}{\partial\:x}(2^{xy})
derivative of f(x)= 2/((1-x)^3)	derivative\:f(x)=\frac{2}{(1-x)^{3}}
(\partial}{\partial x}(e^{\frac{x^2)/2})	\frac{\partial\:}{\partial\:x}(e^{\frac{x^{2}}{2}})
tangent of f(x)=(-8x)/(x^2+1),(1,-4)	tangent\:f(x)=\frac{-8x}{x^{2}+1},(1,-4)
y^{''}+3.26y^'+2.66y=0	y^{\prime\:\prime\:}+3.26y^{\prime\:}+2.66y=0
(\partial)/(\partial x)(e^x(x+2y))	\frac{\partial\:}{\partial\:x}(e^{x}(x+2y))
(\partial)/(\partial y)(x^2-6y)	\frac{\partial\:}{\partial\:y}(x^{2}-6y)
y^{''}+14y^'+49y=0,y(1)=0,y^'(1)=1	y^{\prime\:\prime\:}+14y^{\prime\:}+49y=0,y(1)=0,y^{\prime\:}(1)=1
integral of (3+u)/(u^2-1)	\int\:\frac{3+u}{u^{2}-1}du
tangent of y=ln(x^2-8x+1),(8,0)	tangent\:y=\ln(x^{2}-8x+1),(8,0)
derivative of 5^{3x^3}	\frac{d}{dx}(5^{3x^{3}})
integral of x^2sqrt(2x+6)	\int\:x^{2}\sqrt{2x+6}dx
integral of 1/(1-sin(b))	\int\:\frac{1}{1-\sin(b)}db
integral of ((x+3)/(sqrt(x)))	\int\:(\frac{x+3}{\sqrt{x}})dx
integral of (sin(3x))/((1-cos(3x))^3)	\int\:\frac{\sin(3x)}{(1-\cos(3x))^{3}}dx
integral of 1/(sqrt(2^2+u^2))	\int\:\frac{1}{\sqrt{2^{2}+u^{2}}}du
integral of 1/(sqrt(-x^2-14x-48))	\int\:\frac{1}{\sqrt{-x^{2}-14x-48}}dx
integral from 0 to 4 of 8x	\int\:_{0}^{4}8xdx
integral of (x+1)/(sqrt(x^2+2x))	\int\:\frac{x+1}{\sqrt{x^{2}+2x}}dx
(dy)/(dx)=cos(2x)	\frac{dy}{dx}=\cos(2x)
y^{''}-7y^'+12y=6e^t	y^{\prime\:\prime\:}-7y^{\prime\:}+12y=6e^{t}
d/(dt)(x(t,y)),y=4x(t,y)	\frac{d}{dt}(x(t,y)),y=4x(t,y)
derivative of 1/(1-x^3)	\frac{d}{dx}(\frac{1}{1-x^{3}})
limit as x approaches 7 of 9	\lim\:_{x\to\:7}(9)
integral of 1/((1+t^2))	\int\:\frac{1}{(1+t^{2})}dt
derivative of e^x(cos(x+sin(x)))	\frac{d}{dx}(e^{x}(\cos(x)+\sin(x)))
y^{''}+4y^'+4y=5cos(4x)	y^{\prime\:\prime\:}+4y^{\prime\:}+4y=5\cos(4x)
derivative of f(x)=5x^{2/3}-2x^3	derivative\:f(x)=5x^{\frac{2}{3}}-2x^{3}
inverse oflaplace 1/((s-2)^6)	inverselaplace\:\frac{1}{(s-2)^{6}}
derivative of x^2+2x+5	\frac{d}{dx}(x^{2}+2x+5)
limit as x approaches 0+of 1/(x^5)	\lim\:_{x\to\:0+}(\frac{1}{x^{5}})
integral of x/(1-x^4)	\int\:\frac{x}{1-x^{4}}dx
integral of ((cos(sqrt(x)))/(sqrt(x)))	\int\:(\frac{\cos(\sqrt{x})}{\sqrt{x}})dx
integral of (25)/(x^2)	\int\:\frac{25}{x^{2}}dx
integral of re^{r/2}	\int\:re^{\frac{r}{2}}dr
derivative of x^{-5/2}	\frac{d}{dx}(x^{-\frac{5}{2}})
(\partial)/(\partial x)(\|x+y\|)	\frac{\partial\:}{\partial\:x}(\left\|x+y\right\|)
integral from 0 to 1 of (6x^e+5e^x)	\int\:_{0}^{1}(6x^{e}+5e^{x})dx
(\partial)/(\partial x)((-13+142)*1/17)	\frac{\partial\:}{\partial\:x}((-13+142)\cdot\:\frac{1}{17})
(\partial)/(\partial y)(x^{0.5}*y^{0.5})	\frac{\partial\:}{\partial\:y}(x^{0.5}\cdot\:y^{0.5})
(\partial)/(\partial x)(7x^2)	\frac{\partial\:}{\partial\:x}(7x^{2})
integral of 3/(100+2x)	\int\:\frac{3}{100+2x}dx
integral of cos(x)(4+8sin^2(x))	\int\:\cos(x)(4+8\sin^{2}(x))dx
limit as x approaches 0 of x^2cos(4/x)	\lim\:_{x\to\:0}(x^{2}\cos(\frac{4}{x}))
derivative of x^{1/(-3)}	derivative\:x^{\frac{1}{-3}}
derivative of y=ln(sqrt(x^2-2))	derivative\:y=\ln(\sqrt{x^{2}-2})
integral of \sqrt[7]{tan(2x)}sec^2(2x)	\int\:\sqrt[7]{\tan(2x)}\sec^{2}(2x)dx
derivative of 6sin^6(sqrt(x))	\frac{d}{dx}(6\sin^{6}(\sqrt{x}))

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