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Popular Calculus Problems

limit as x approaches 3+of 2x^2-4	\lim\:_{x\to\:3+}(2x^{2}-4)
(3y^2+4x)dx+(2yx)dy=0	(3y^{2}+4x)dx+(2yx)dy=0
derivative of (e^x-e^{-x})/(e^x+e^{-x)}	derivative\:\frac{e^{x}-e^{-x}}{e^{x}+e^{-x}}
derivative of ((x-1^2)/((x+2)))	\frac{d}{dx}(\frac{(x-1)^{2}}{(x+2)})
d/(dv)(v^2)	\frac{d}{dv}(v^{2})
integral of 8x^3(1+x^4)^{10}	\int\:8x^{3}(1+x^{4})^{10}dx
integral of 1/((x^2sqrt(x^2-16)))	\int\:\frac{1}{(x^{2}\sqrt{x^{2}-16})}dx
tangent of f(x)=9x^{1/2}+x^{3/2},\at x=9	tangent\:f(x)=9x^{\frac{1}{2}}+x^{\frac{3}{2}},\at\:x=9
derivative of 7/(4x)	\frac{d}{dx}(\frac{7}{4x})
y^'= y/(x+y)	y^{\prime\:}=\frac{y}{x+y}
derivative of e^{-4x}cos(2x)	\frac{d}{dx}(e^{-4x}\cos(2x))
derivative of (x^3+2x^2-1)/(x+5)	derivative\:\frac{x^{3}+2x^{2}-1}{x+5}
integral of 2sin(2x)sqrt(cos(2x))	\int\:2\sin(2x)\sqrt{\cos(2x)}dx
integral of xsec^2(y)	\int\:x\sec^{2}(y)dy
d/(d{r)}((120{r})/({r)+120})	\frac{d}{d{r}}(\frac{120{r}}{{r}+120})
limit as x approaches-2 of x^3(5-3x^2)	\lim\:_{x\to\:-2}(x^{3}(5-3x^{2}))
y^'+8y+18=0	y^{\prime\:}+8y+18=0
integral of 6x-4	\int\:6x-4dx
integral from 1 to 8 of (3ln(x))/(x^2)	\int\:_{1}^{8}\frac{3\ln(x)}{x^{2}}dx
derivative of 6e^{5x}	\frac{d}{dx}(6e^{5x})
integral from 0 to pi/2 of csc^2(x)	\int\:_{0}^{\frac{π}{2}}\csc^{2}(x)dx
area x^2+4x+3,0,4	area\:x^{2}+4x+3,0,4
integral of 8sin^3(xco)s^2x	\int\:8\sin^{3}(xco)s^{2}xdx
derivative of 20x^4	\frac{d}{dx}(20x^{4})
integral from 0 to 1 of (x^2)	\int\:_{0}^{1}(x^{2})dx
inverse oflaplace 2/(2s^2+1)	inverselaplace\:\frac{2}{2s^{2}+1}
(\partial)/(\partial y)(y-2x-2)	\frac{\partial\:}{\partial\:y}(y-2x-2)
derivative of y= 1/(x-3)	derivative\:y=\frac{1}{x-3}
integral of ((x^2+1))/((x-9)(x-8)^2)	\int\:\frac{(x^{2}+1)}{(x-9)(x-8)^{2}}dx
integral of xcos(8x^2)	\int\:x\cos(8x^{2})dx
tangent of f(x)=x^2-2x+3,\at x=2	tangent\:f(x)=x^{2}-2x+3,\at\:x=2
limit as x approaches 0 of Q(x)	\lim\:_{x\to\:0}(Q(x))
integral of 7/(3p-4)	\int\:\frac{7}{3p-4}dp
integral of e^{2x}cos(e^{2x})	\int\:e^{2x}\cos(e^{2x})dx
integral of (16x^2)/((x-15)(x+5)^2)	\int\:\frac{16x^{2}}{(x-15)(x+5)^{2}}dx
integral of (x^3)/(sqrt(3+x^2))	\int\:\frac{x^{3}}{\sqrt{3+x^{2}}}dx
derivative of 3^{4x}	\frac{d}{dx}(3^{4x})
tangent of f(x)=x^2-3,(-4,13)	tangent\:f(x)=x^{2}-3,(-4,13)
integral of (x^2-1)/(x^3+x)	\int\:\frac{x^{2}-1}{x^{3}+x}dx
integral from 0 to 1 of xe^{3x^2}	\int\:_{0}^{1}xe^{3x^{2}}dx
tan(t)y^'-y=1,y(pi/6)=3	\tan(t)y^{\prime\:}-y=1,y(\frac{π}{6})=3
maclaurin x/(x^2-x+1)	maclaurin\:\frac{x}{x^{2}-x+1}
y^{''}-2y^'+y=e^t	y^{\prime\:\prime\:}-2y^{\prime\:}+y=e^{t}
derivative of (7x/(x+4))	\frac{d}{dx}(\frac{7x}{x+4})
integral of (x^3)/(x-2)	\int\:\frac{x^{3}}{x-2}dx
integral of 8/(x^2+2)	\int\:\frac{8}{x^{2}+2}dx
y^{''}-2y^'+10y=9e^tcsc(3t)	y^{\prime\:\prime\:}-2y^{\prime\:}+10y=9e^{t}\csc(3t)
integral of ((ln(x))^{30})/x	\int\:\frac{(\ln(x))^{30}}{x}dx
derivative of x^3-3x^2-9x+3	\frac{d}{dx}(x^{3}-3x^{2}-9x+3)
integral of (6x-5)/(3x^2-5x)	\int\:\frac{6x-5}{3x^{2}-5x}dx
integral from 36 to x of sqrt(1+9t)	\int\:_{36}^{x}\sqrt{1+9t}dt
derivative of ln(x^4+1)	\frac{d}{dx}(\ln(x^{4}+1))
derivative of 9x^2sin(xtan(x))	\frac{d}{dx}(9x^{2}\sin(x)\tan(x))
y^{''}+10y^'+25y=5e^{-5t}	y^{\prime\:\prime\:}+10y^{\prime\:}+25y=5e^{-5t}
sum from n=0 to infinity of-x^n	\sum\:_{n=0}^{\infty\:}-x^{n}
integral of sec(x/3)	\int\:\sec(\frac{x}{3})dx
maclaurin (1+x)^{1/3}	maclaurin\:(1+x)^{\frac{1}{3}}
integral of 5xsqrt(4-3x^2)	\int\:5x\sqrt{4-3x^{2}}dx
derivative of u/(u^2+8)	derivative\:\frac{u}{u^{2}+8}
(d^2)/(dx^2)(2/(3x^4))	\frac{d^{2}}{dx^{2}}(\frac{2}{3x^{4}})
derivative of 1/(yx^2)	\frac{d}{dx}(\frac{1}{yx^{2}})
integral of+7xcos(4x)	\int\:+7x\cos(4x)dx
integral of cos(pi*x)	\int\:\cos(π\cdot\:x)dx
tangent of f(x)=x^4-5x^2+4,\at x=-2	tangent\:f(x)=x^{4}-5x^{2}+4,\at\:x=-2
derivative of y=sin(3)x^2	derivative\:y=\sin(3)x^{2}
integral of (ln(x)+x)	\int\:(\ln(x)+x)dx
inverse oflaplace 1/(((25s^2+19980)))	inverselaplace\:\frac{1}{((25s^{2}+19980))}
(\partial)/(\partial x)(1/x sin(y/x))	\frac{\partial\:}{\partial\:x}(\frac{1}{x}\sin(\frac{y}{x}))
integral of (x-1)sin(pi)x	\int\:(x-1)\sin(π)xdx
derivative of y=9e^x	derivative\:y=9e^{x}
integral of 1/(3x+1)	\int\:\frac{1}{3x+1}dx
integral of t*e^{-t^2}	\int\:t\cdot\:e^{-t^{2}}dt
integral of 7sqrt(7x-1)	\int\:7\sqrt{7x-1}dx
integral from 1/2 to 1 of (x^{-3}-13)	\int\:_{\frac{1}{2}}^{1}(x^{-3}-13)dx
derivative of 4sin(7x)	\frac{d}{dx}(4\sin(7x))
limit as x approaches 0 of (2x+1)/(x+3)	\lim\:_{x\to\:0}(\frac{2x+1}{x+3})
(dy)/(dx)=(y^2-3y)	\frac{dy}{dx}=(y^{2}-3y)
(\partial)/(\partial x)(x^{1/2}y^{3/2})	\frac{\partial\:}{\partial\:x}(x^{\frac{1}{2}}y^{\frac{3}{2}})
derivative of-4/((x-2^2))	\frac{d}{dx}(-\frac{4}{(x-2)^{2}})
y^'=y^3,y(0)=a	y^{\prime\:}=y^{3},y(0)=a
(\partial)/(\partial x)(e^{x+y^2})	\frac{\partial\:}{\partial\:x}(e^{x+y^{2}})
integral of (x^8+1)	\int\:(x^{8}+1)dx
integral of 1/(sin^2(2x))	\int\:\frac{1}{\sin^{2}(2x)}dx
integral from 0 to 1 of (x-4)/(x^2-5x+6)	\int\:_{0}^{1}\frac{x-4}{x^{2}-5x+6}dx
integral of 2xz+y^2	\int\:2xz+y^{2}dx
integral from 2 to 4 of (x-4)^2+1	\int\:_{2}^{4}(x-4)^{2}+1dx
derivative of 2cos^2(x-1)	\frac{d}{dx}(2\cos^{2}(x)-1)
integral of+x^9sqrt(x^5+5)	\int\:+x^{9}\sqrt{x^{5}+5}dx
(2+x)((dy)/(dx))-xy=0	(2+x)(\frac{dy}{dx})-xy=0
integral from 0 to 2 of 3x+4	\int\:_{0}^{2}3x+4dx
(\partial)/(\partial x)(7xe^{7xy})	\frac{\partial\:}{\partial\:x}(7xe^{7xy})
integral of (x-1)/(x^3+x^2)	\int\:\frac{x-1}{x^{3}+x^{2}}dx
(1-x^2)y^'+xy=x	(1-x^{2})y^{\prime\:}+xy=x
integral of (2x)/(k^2)	\int\:\frac{2x}{k^{2}}dx
limit as x approaches infinity of x^2-4x	\lim\:_{x\to\:\infty\:}(x^{2}-4x)
derivative of f(x)=4sin^3(sqrt(x))	derivative\:f(x)=4\sin^{3}(\sqrt{x})
y^'+2/t y=(sin(t))/t	y^{\prime\:}+\frac{2}{t}y=\frac{\sin(t)}{t}
integral of (1/(sqrt(1-x^2)))	\int\:(\frac{1}{\sqrt{1-x^{2}}})dx
integral of (x-3)/(x^2-49)	\int\:\frac{x-3}{x^{2}-49}dx
integral of-ln\|x\|	\int\:-\ln\left\|x\right\|dx

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