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Popular Calculus Problems

limit as x approaches 0+of 1/(x^3)	\lim\:_{x\to\:0+}(\frac{1}{x^{3}})
(arcsin(3x))^'	(\arcsin(3x))^{\prime\:}
derivative of 6xe^xcsc(x)	derivative\:6xe^{x}\csc(x)
integral of 2/(sqrt(x))	\int\:\frac{2}{\sqrt{x}}dx
integral from-2 to 2 of x^2(x^2+1)	\int\:_{-2}^{2}x^{2}(x^{2}+1)dx
volumeabout x=0,y=(3x+1)^{1/4},[0,8]	volumeabout\:x=0,y=(3x+1)^{\frac{1}{4}},[0,8]
limit as x approaches 2-of x^2	\lim\:_{x\to\:2-}(x^{2})
tangent of 2x^2-7x+5	tangent\:2x^{2}-7x+5
(x+4/x)^'	(x+\frac{4}{x})^{\prime\:}
(\partial)/(\partial x)(e^{-(x^2+y^2+z^2)})	\frac{\partial\:}{\partial\:x}(e^{-(x^{2}+y^{2}+z^{2})})
integral of (x+2)^5	\int\:(x+2)^{5}dx
integral of 1/3 e^{-x/3}	\int\:\frac{1}{3}e^{-\frac{x}{3}}dx
limit as x approaches-4-of x^2+2/(x+4)	\lim\:_{x\to\:-4-}(x^{2}+\frac{2}{x+4})
derivative of 2/x-3x	\frac{d}{dx}(\frac{2}{x}-3x)
limit as θ approaches-pi+of csc(θ)	\lim\:_{θ\to\:-π+}(\csc(θ))
integral of-1/4 cos(4x)	\int\:-\frac{1}{4}\cos(4x)dx
integral of (1+sqrt(x))/(xsqrt(x))	\int\:\frac{1+\sqrt{x}}{x\sqrt{x}}dx
(dy)/(dx)+2y=0	\frac{dy}{dx}+2y=0
derivative of (2xsin(x)/(3+cos(x)))	\frac{d}{dx}(\frac{2x\sin(x)}{3+\cos(x)})
integral from 4 to 1 of 2e^{(x+3)}	\int\:_{4}^{1}2e^{(x+3)}dx
derivative of ln(4(x))	\frac{d}{dx}(\ln(4)(x))
y^{''}-2y^'=8sin(x)+2xe^x	y^{\prime\:\prime\:}-2y^{\prime\:}=8\sin(x)+2xe^{x}
integral of (x+x^2)	\int\:(x+x^{2})dx
derivative of 4-5sin(2x+pi/4)	\frac{d}{dx}(4-5\sin(2x+\frac{π}{4}))
tangent of f(x)=2xsqrt(1-3x),\at x=-2	tangent\:f(x)=2x\sqrt{1-3x},\at\:x=-2
integral of 1/(x^2-3x-4)	\int\:\frac{1}{x^{2}-3x-4}dx
integral of (x+1)^{3/2}	\int\:(x+1)^{\frac{3}{2}}dx
(\partial)/(\partial x)(x+9y+8z)	\frac{\partial\:}{\partial\:x}(x+9y+8z)
derivative of 7/(3x^7-12x^6+2x^2-9)	\frac{d}{dx}(\frac{7}{3x^{7}-12x^{6}+2x^{2}-9})
tangent of y= 1/(x+2),\at x=7	tangent\:y=\frac{1}{x+2},\at\:x=7
limit as x approaches 8 of 9x+\|x-8\|	\lim\:_{x\to\:8}(9x+\left\|x-8\right\|)
tangent of f(x)=x^2-1/x ,(1,0)	tangent\:f(x)=x^{2}-\frac{1}{x},(1,0)
d/(d{x)}(1/(sqrt(9-{x)^2-{y)^2-{z}^2}})	\frac{d}{d{x}}(\frac{1}{\sqrt{9-{x}^{2}-{y}^{2}-{z}^{2}}})
((x-1)^2)^'	((x-1)^{2})^{\prime\:}
(\partial)/(\partial z)(7ze^{xyz})	\frac{\partial\:}{\partial\:z}(7ze^{xyz})
derivative of 1/((x^2-3)(x^2+3x+5))	derivative\:\frac{1}{(x^{2}-3)(x^{2}+3x+5)}
(\partial)/(\partial y)(y(y+sin(x)))	\frac{\partial\:}{\partial\:y}(y(y+\sin(x)))
integral from 0 to 0.6 of (x^2)/(sqrt(9-25x^2))	\int\:_{0}^{0.6}\frac{x^{2}}{\sqrt{9-25x^{2}}}dx
tangent of 2x^4-9x^2	tangent\:2x^{4}-9x^{2}
xy^'+y=3	xy^{\prime\:}+y=3
ty^'+(t+1)y=t,y(ln(3))=1	ty^{\prime\:}+(t+1)y=t,y(\ln(3))=1
limit as x approaches 0 of x^4(cos(2/x))	\lim\:_{x\to\:0}(x^{4}(\cos(\frac{2}{x})))
integral of 4/5	\int\:\frac{4}{5}dx
derivative of f(x)=4^{c/x}	derivative\:f(x)=4^{\frac{c}{x}}
derivative of 1/4 sin^4(x)	\frac{d}{dx}(\frac{1}{4}\sin^{4}(x))
limit as x approaches infinity of 1+2^x	\lim\:_{x\to\:\infty\:}(1+2^{x})
tangent of y=x^2-1,(5,24)	tangent\:y=x^{2}-1,(5,24)
derivative of x^5*ln(x)	\frac{d}{dx}(x^{5}\cdot\:\ln(x))
derivative of sqrt(x^2-a^2)	\frac{d}{dx}(\sqrt{x^{2}-a^{2}})
sum from n=0 to infinity of 1/(3^{n-1)}	\sum\:_{n=0}^{\infty\:}\frac{1}{3^{n-1}}
y= 1/(ln(x))	y=\frac{1}{\ln(x)}
limit as x approaches 5 of x/(\|x-5\|)	\lim\:_{x\to\:5}(\frac{x}{\left\|x-5\right\|})
tangent of y=x^2-sqrt(x),(1,0)	tangent\:y=x^{2}-\sqrt{x},(1,0)
integral from 0 to pi of sin^2(5x)	\int\:_{0}^{π}\sin^{2}(5x)dx
slope of (5,-3),(-3,6)	slope\:(5,-3),(-3,6)
(1/(sqrt(x)))^'	(\frac{1}{\sqrt{x}})^{\prime\:}
(\partial)/(\partial x)(2x^2y+sin(x^2))	\frac{\partial\:}{\partial\:x}(2x^{2}y+\sin(x^{2}))
sum from n=0 to infinity of 2/3	\sum\:_{n=0}^{\infty\:}\frac{2}{3}
(\partial)/(\partial x)(ln(yx))	\frac{\partial\:}{\partial\:x}(\ln(yx))
tangent of f(x)= 1/x ,\at x=a	tangent\:f(x)=\frac{1}{x},\at\:x=a
integral of 10wsqrt(w)	\int\:10w\sqrt{w}dw
derivative of f(x)=(x+2)e^{1/x}	derivative\:f(x)=(x+2)e^{\frac{1}{x}}
derivative of sqrt(x)(3-x^2)	\frac{d}{dx}(\sqrt{x}(3-x)^{2})
y^'=e^{y-x}	y^{\prime\:}=e^{y-x}
derivative of ((x^2+4)/(x^2-4))	\frac{d}{dx}(\frac{(x^{2}+4)}{x^{2}-4})
derivative of (sec(x))/(1+sec(x))	derivative\:\frac{\sec(x)}{1+\sec(x)}
integral of xln^3(x)	\int\:x\ln^{3}(x)dx
integral from 0 to 2 of 1/(4+x^2)	\int\:_{0}^{2}\frac{1}{4+x^{2}}dx
derivative of sqrt(ax)	\frac{d}{dx}(\sqrt{ax})
sum from n=1 to infinity of nsin(npi)	\sum\:_{n=1}^{\infty\:}n\sin(nπ)
derivative of ((3x^2-2/(2x+3))^3)	\frac{d}{dx}((\frac{3x^{2}-2}{2x+3})^{3})
(\partial)/(\partial x)(3x^2-y^3+x-1)	\frac{\partial\:}{\partial\:x}(3x^{2}-y^{3}+x-1)
integral of ((ln(x^8)))/x	\int\:\frac{(\ln(x^{8}))}{x}dx
integral of sin(1/3)x	\int\:\sin(\frac{1}{3})xdx
(\partial)/(\partial x)(9ye^x-ln(z))	\frac{\partial\:}{\partial\:x}(9ye^{x}-\ln(z))
inverse oflaplace (s+2)/(s^2+2s+5)	inverselaplace\:\frac{s+2}{s^{2}+2s+5}
derivative of 4x+(144)/x+80	derivative\:4x+\frac{144}{x}+80
derivative of log_{e}(x^2+x+1)	\frac{d}{dx}(\log_{e}(x^{2}+x+1))
derivative of (-3x^5-3^3)	\frac{d}{dx}((-3x^{5}-3)^{3})
integral of x(1-x)^{2/3}	\int\:x(1-x)^{\frac{2}{3}}dx
limit as x approaches 0+of 2x^{3x}	\lim\:_{x\to\:0+}(2x^{3x})
derivative of 1/(x^3+4x^2)	\frac{d}{dx}(\frac{1}{x^{3}+4x^{2}})
derivative of x^2cos(x-2xsin(x)-2cos(x))	\frac{d}{dx}(x^{2}\cos(x)-2x\sin(x)-2\cos(x))
integral of 7tan^2(x)+tan^4(x)	\int\:7\tan^{2}(x)+\tan^{4}(x)dx
integral of 3x^3-5x^2+7x+2	\int\:3x^{3}-5x^{2}+7x+2dx
derivative of sqrt((5x+1/(2x^2+1)))	\frac{d}{dx}(\sqrt{\frac{5x+1}{2x^{2}+1}})
limit as x approaches infinity of (3x^2+2x-8)/(sqrt(4x^4-5x+4))	\lim\:_{x\to\:\infty\:}(\frac{3x^{2}+2x-8}{\sqrt{4x^{4}-5x+4}})
limit as x approaches 0 of 1/(sqrt(x+1))	\lim\:_{x\to\:0}(\frac{1}{\sqrt{x+1}})
integral of (1/3)x^3-5x	\int\:(\frac{1}{3})x^{3}-5xdx
integral of (6x^2-4x+5)	\int\:(6x^{2}-4x+5)dx
integral of 1/(x^3+9x)	\int\:\frac{1}{x^{3}+9x}dx
tangent of 5sec(x),\at x= pi/3	tangent\:5\sec(x),\at\:x=\frac{π}{3}
area-x^2+3x,2x^3-x^2-5x	area\:-x^{2}+3x,2x^{3}-x^{2}-5x
limit as x approaches 0 of ((x-1))/x	\lim\:_{x\to\:0}(\frac{(x-1)}{x})
integral of y/((y^2+z^2)^{3/2)}	\int\:\frac{y}{(y^{2}+z^{2})^{\frac{3}{2}}}dy
slope of (1,7),(7,3)	slope\:(1,7),(7,3)
d/(dθ)(4sin^2(θ)cos(θ))	\frac{d}{dθ}(4\sin^{2}(θ)\cos(θ))
derivative of (9(1-sin(x))/(2cos(x)))	\frac{d}{dx}(\frac{9(1-\sin(x))}{2\cos(x)})
d/(dy)(sqrt(y^2))	\frac{d}{dy}(\sqrt{y^{2}})
integral of 1/((xln(x)))	\int\:\frac{1}{(x\ln(x))}dx

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