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Popular Calculus Problems

(\partial)/(\partial r)(r^2+s^2)	\frac{\partial\:}{\partial\:r}(r^{2}+s^{2})
limit as x approaches 3-of (5x)/(x^2-9)	\lim\:_{x\to\:3-}(\frac{5x}{x^{2}-9})
integral from 0 to 5 of 1/(25-x^2)	\int\:_{0}^{5}\frac{1}{25-x^{2}}dx
limit as x approaches-1-of 9/(x^3-1)	\lim\:_{x\to\:-1-}(\frac{9}{x^{3}-1})
integral of 3/(sqrt(16-x^2))	\int\:\frac{3}{\sqrt{16-x^{2}}}dx
derivative of f(x)=4t	derivative\:f(x)=4t
derivative of sqrt(x)(x-4)	derivative\:\sqrt{x}(x-4)
sum from n=1 to infinity}((-1)^n(2)^{n-1})/((2)^{n+1)(n)^{1/3 of}	\sum\:_{n=1}^{\infty\:}\frac{(-1)^{n}(2)^{n-1}}{(2)^{n+1}(n)^{\frac{1}{3}}}
inverse oflaplace (2x-6)/(x^2+9)	inverselaplace\:\frac{2x-6}{x^{2}+9}
y^'+(4y)/x+4/x =0,y(1)=-2	y^{\prime\:}+\frac{4y}{x}+\frac{4}{x}=0,y(1)=-2
derivative of 3*e^{(x^3/9})	\frac{d}{dx}(3\cdot\:e^{\frac{x^{3}}{9}})
limit as x approaches 0 of \| x/x \|	\lim\:_{x\to\:0}(\left\|\frac{x}{x}\right\|)
integral of (9x-2)^{-3}	\int\:(9x-2)^{-3}dx
integral of coth(y)	\int\:\coth(y)dy
integral of (x^6+e^{3x})	\int\:(x^{6}+e^{3x})dx
derivative of (x^3/3+7x^2+49x)	\frac{d}{dx}(\frac{x^{3}}{3}+7x^{2}+49x)
limit as x approaches m of x-[x]	\lim\:_{x\to\:m}(x-[x])
integral of 5re^{r/2}	\int\:5re^{\frac{r}{2}}dr
derivative of f(x)=x^2ln(8-5x^2)	derivative\:f(x)=x^{2}\ln(8-5x^{2})
area y=x^3-10x,y=6x	area\:y=x^{3}-10x,y=6x
(dy)/(dx)=x^6y^{-5}	\frac{dy}{dx}=x^{6}y^{-5}
integral from-5 to 5 of 1/(\|x\|^{2/3)}	\int\:_{-5}^{5}\frac{1}{\left\|x\right\|^{\frac{2}{3}}}dx
derivative of y=sqrt(arctan(x))	derivative\:y=\sqrt{\arctan(x)}
(\partial)/(\partial y)(x^4-2x^2y)	\frac{\partial\:}{\partial\:y}(x^{4}-2x^{2}y)
(\partial)/(\partial x)(e^{2xy^2}+3x)	\frac{\partial\:}{\partial\:x}(e^{2xy^{2}}+3x)
derivative of (3^x/(tan(x)))	\frac{d}{dx}(\frac{3^{x}}{\tan(x)})
(\partial)/(\partial x)(tan(x^3y^2))	\frac{\partial\:}{\partial\:x}(\tan(x^{3}y^{2}))
derivative of y=(x^7)/(f(x))	derivative\:y=\frac{x^{7}}{f(x)}
derivative of x^7e^{9x}	\frac{d}{dx}(x^{7}e^{9x})
tangent of f(x)=(16x)/(x^2+16)	tangent\:f(x)=\frac{16x}{x^{2}+16}
limit as h approaches 0 of ((pi+h)+1)/h	\lim\:_{h\to\:0}(\frac{(π+h)+1}{h})
derivative of ((x^2-3x)/(sqrt(4x+1)))	\frac{d}{dx}(\frac{(x^{2}-3x)}{\sqrt{4x+1}})
area x,0,3	area\:x,0,3
sum from n=2 to infinity of 8/((n^2-1))	\sum\:_{n=2}^{\infty\:}\frac{8}{(n^{2}-1)}
tangent of y=(e^x)/x	tangent\:y=\frac{e^{x}}{x}
integral of (4sin(x)-1+8x^{-5})	\int\:(4\sin(x)-1+8x^{-5})dx
integral of t^2-4t+3	\int\:t^{2}-4t+3dt
integral of sin(y)cos(x)	\int\:\sin(y)\cos(x)dx
integral from 1 to 8 of xln(x)	\int\:_{1}^{8}x\ln(x)dx
integral of 8x^3+9sin(x)	\int\:8x^{3}+9\sin(x)dx
derivative of-(12)/(x^4)	derivative\:-\frac{12}{x^{4}}
y^{''}+2y^'+2y=sin(t)	y^{\prime\:\prime\:}+2y^{\prime\:}+2y=\sin(t)
limit as x approaches 3 of 3x^4	\lim\:_{x\to\:3}(3x^{4})
taylor arctan(x),1	taylor\:\arctan(x),1
(\partial)/(\partial z)(-5e^{3x+4y}sin(5z))	\frac{\partial\:}{\partial\:z}(-5e^{3x+4y}\sin(5z))
integral of (e^x-x^e)	\int\:(e^{x}-x^{e})dx
laplacetransform 4te^{-3t}	laplacetransform\:4te^{-3t}
limit as x approaches-infinity of (6x^2+5x^{1/3})/(sqrt(9x^4+7))	\lim\:_{x\to\:-\infty\:}(\frac{6x^{2}+5x^{\frac{1}{3}}}{\sqrt{9x^{4}+7}})
sum from n=1 to infinity of n^nx^n	\sum\:_{n=1}^{\infty\:}n^{n}x^{n}
y^'+8(tan(8x))y=-5cos(8x)	y^{\prime\:}+8(\tan(8x))y=-5\cos(8x)
limit as x approaches infinity of (\sqrt[x]{7}+1)/(\sqrt[x]{7)}	\lim\:_{x\to\:\infty\:}(\frac{\sqrt[x]{7}+1}{\sqrt[x]{7}})
tangent of y=x^2+7	tangent\:y=x^{2}+7
(\partial)/(\partial x)(1/(cos(x)))	\frac{\partial\:}{\partial\:x}(\frac{1}{\cos(x)})
(ln(2x+1))^'	(\ln(2x+1))^{\prime\:}
(2xy)dx-(1+y)dy=0	(2xy)dx-(1+y)dy=0
y^{''}-8y^'-9y=21e^{2t}	y^{\prime\:\prime\:}-8y^{\prime\:}-9y=21e^{2t}
limit as x approaches-1 of 4-x	\lim\:_{x\to\:-1}(4-x)
limit as x approaches 5-of 7/(x-5)	\lim\:_{x\to\:5-}(\frac{7}{x-5})
derivative of (x-3(x+2))	\frac{d}{dx}((x-3)(x+2))
integral of 1/(x^2sqrt(196-x^2))	\int\:\frac{1}{x^{2}\sqrt{196-x^{2}}}dx
derivative of (x-2)(x+1)(x+6)	derivative\:(x-2)(x+1)(x+6)
tangent of y=4+8x^2,(0,4)	tangent\:y=4+8x^{2},(0,4)
derivative of tan(4x^2-3x-4)	derivative\:\tan(4x^{2}-3x-4)
limit as x approaches 2-of x/(x^2+4)	\lim\:_{x\to\:2-}(\frac{x}{x^{2}+4})
integral of 3/4+4/5 x^2-5/6 x^3	\int\:\frac{3}{4}+\frac{4}{5}x^{2}-\frac{5}{6}x^{3}dx
derivative of sqrt(5)x+sqrt(7x)	derivative\:\sqrt{5}x+\sqrt{7x}
derivative of x^2(x^2-4)	\frac{d}{dx}(x^{2}(x^{2}-4))
limit as x approaches 2 of \sqrt[3]{(x^3-8)/(x-2)}	\lim\:_{x\to\:2}(\sqrt[3]{\frac{x^{3}-8}{x-2}})
derivative of 3/5 x^{5/3}	\frac{d}{dx}(\frac{3}{5}x^{\frac{5}{3}})
taylor sqrt(1+x)	taylor\:\sqrt{1+x}
derivative of (e^x+1/(e^x+2))	\frac{d}{dx}(\frac{e^{x}+1}{e^{x}+2})
limit as x approaches 2 of (x^3-8)/(x-2)	\lim\:_{x\to\:2}(\frac{x^{3}-8}{x-2})
d/(dt)(e^{2t}cos(t))	\frac{d}{dt}(e^{2t}\cos(t))
derivative of y=(ln(9x))/(9x)	derivative\:y=\frac{\ln(9x)}{9x}
integral from-1 to 7 of (4x+7)-(x^2-2x)	\int\:_{-1}^{7}(4x+7)-(x^{2}-2x)dx
integral of 8t	\int\:8tdt
f^'(x)=3e^{2x^2}	f^{\prime\:}(x)=3e^{2x^{2}}
y^'=(1-4y^2)/(3xy)	y^{\prime\:}=\frac{1-4y^{2}}{3xy}
derivative of y=-6cos(-2x)	derivative\:y=-6\cos(-2x)
limit as x approaches 0+of x^{2/3}	\lim\:_{x\to\:0+}(x^{\frac{2}{3}})
integral of (x^2)/(sqrt(x^6-5))	\int\:\frac{x^{2}}{\sqrt{x^{6}-5}}dx
derivative of x/((x^2-1^4))	\frac{d}{dx}(\frac{x}{(x^{2}-1)^{4}})
integral of tan^2(x)*sec(x)	\int\:\tan^{2}(x)\cdot\:\sec(x)dx
area 1/4 x^2,3-x,x=1	area\:\frac{1}{4}x^{2},3-x,x=1
derivative of ln(ln(12x))	\frac{d}{dx}(\ln(\ln(12x)))
integral of 1/(2sin^2(x)+3cos^2(x))	\int\:\frac{1}{2\sin^{2}(x)+3\cos^{2}(x)}dx
y^{''}+81y=cos(2t)	y^{\prime\:\prime\:}+81y=\cos(2t)
derivative of y=(3+4x-6sqrt(x))/x	derivative\:y=\frac{3+4x-6\sqrt{x}}{x}
derivative of y= 2/(x^3)	derivative\:y=\frac{2}{x^{3}}
(\partial)/(\partial z)(xsin(y-z))	\frac{\partial\:}{\partial\:z}(x\sin(y-z))
integral of (x^3)/(sqrt(u))	\int\:\frac{x^{3}}{\sqrt{u}}dx
slope of x^3-3x^2+3	slope\:x^{3}-3x^{2}+3
integral from 0 to 17 of x	\int\:_{0}^{17}xdx
laplacetransform cos^2(21t)	laplacetransform\:\cos^{2}(21t)
tangent of y=2sin(x),0,\at x=0	tangent\:y=2\sin(x),0,\at\:x=0
area 4x^2-4,x^4-1	area\:4x^{2}-4,x^{4}-1
limit as x approaches infinity of-9/x	\lim\:_{x\to\:\infty\:}(-\frac{9}{x})
derivative of f(x)=e^{2x^2}	derivative\:f(x)=e^{2x^{2}}
area y=6x-x^2,y=-2x	area\:y=6x-x^{2},y=-2x
limit as x approaches infinity of x+4	\lim\:_{x\to\:\infty\:}(x+4)

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