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Popular Calculus Problems

integral of x(sqrt(x)-1)	\int\:x(\sqrt{x}-1)dx
derivative of ((1-x^2)/(1+x^2))	\frac{d}{dx}(\frac{(1-x^{2})}{1+x^{2}})
(\partial}{\partial x}(\frac{mxT)/A)	\frac{\partial\:}{\partial\:x}(\frac{m\cdot\:x\cdot\:T}{A})
limit as x approaches 1+of 7\|x+1\|-4	\lim\:_{x\to\:1+}(7\left\|x+1\right\|-4)
integral from 0 to 3 of sqrt(9+x^2)	\int\:_{0}^{3}\sqrt{9+x^{2}}dx
integral from-1 to 2 of (\|x\|(x^2-1))/x	\int\:_{-1}^{2}\frac{\left\|x\right\|(x^{2}-1)}{x}dx
integral from-L to L of x^2	\int\:_{-L}^{L}x^{2}dx
(\partial)/(\partial x)(z^3cot(xz))	\frac{\partial\:}{\partial\:x}(z^{3}\cot(xz))
(\partial)/(\partial y)(8xcos(3xy))	\frac{\partial\:}{\partial\:y}(8x\cos(3xy))
integral of ((6x^2+7x-6))/((x^2-4)(x+2))	\int\:\frac{(6x^{2}+7x-6)}{(x^{2}-4)(x+2)}dx
integral of 1/(1-cos(2x))	\int\:\frac{1}{1-\cos(2x)}dx
integral from 0 to 4 of 4-x^2	\int\:_{0}^{4}4-x^{2}dx
(dx)/(dt)-3x=t	\frac{dx}{dt}-3x=t
derivative of (4x/(1+2x^2))	\frac{d}{dx}(\frac{4x}{1+2x^{2}})
tangent of f(x)=x^2+4,(-5,29)	tangent\:f(x)=x^{2}+4,(-5,29)
derivative of xsqrt(2x-3)	\frac{d}{dx}(x\sqrt{2x-3})
derivative of y=x^2-8x+5	derivative\:y=x^{2}-8x+5
limit as x approaches 5 of 1	\lim\:_{x\to\:5}(1)
(\partial)/(\partial x)(ln(4x+3y))	\frac{\partial\:}{\partial\:x}(\ln(4x+3y))
y^'+2y=4cos(2x)	y^{\prime\:}+2y=4\cos(2x)
integral of (5x^4+8)/(x^5+8x)	\int\:\frac{5x^{4}+8}{x^{5}+8x}dx
integral of cos^3(t)	\int\:\cos^{3}(t)dt
-y^'+(3y)/x =x^2y^2	-y^{\prime\:}+\frac{3y}{x}=x^{2}y^{2}
integral from 1 to 9 of 2/x	\int\:_{1}^{9}\frac{2}{x}dx
derivative of-3csc(x^{2/3})	\frac{d}{dx}(-3\csc(x^{\frac{2}{3}}))
integral of x^{-1}+sin(x)+e^x	\int\:x^{-1}+\sin(x)+e^{x}dx
(dy)/(dx)+2xy=1	\frac{dy}{dx}+2xy=1
limit as h approaches 0-of (-ln(1+6h))/h	\lim\:_{h\to\:0-}(\frac{-\ln(1+6h)}{h})
derivative of 2t^3	derivative\:2t^{3}
integral of 2/(cos(2x))	\int\:\frac{2}{\cos(2x)}dx
derivative of (sqrt(x^2+y-1)/(x+1))	\frac{d}{dx}(\frac{\sqrt{x^{2}+y-1}}{x+1})
limit as y approaches 0 of 4y	\lim\:_{y\to\:0}(4y)
derivative of f(x)=x^{10}	derivative\:f(x)=x^{10}
derivative of x^2+4x-7	derivative\:x^{2}+4x-7
integral of x(x^2-3)^5	\int\:x(x^{2}-3)^{5}dx
limit as x approaches 3 of 2/(x+3)	\lim\:_{x\to\:3}(\frac{2}{x+3})
integral of 1/((169+x^2)^{3/2)}	\int\:\frac{1}{(169+x^{2})^{\frac{3}{2}}}dx
derivative of y=x^6+3	derivative\:y=x^{6}+3
derivative of sin(x^2+sin^2(x))	\frac{d}{dx}(\sin(x^{2})+\sin^{2}(x))
(\partial ^2)/(\partial z^2)(x^2y^4e^z+3y^3e^{xz}+2e^{xyz}+3y)	\frac{\partial\:^{2}}{\partial\:z^{2}}(x^{2}y^{4}e^{z}+3y^{3}e^{xz}+2e^{xyz}+3y)
y^'=((y^4+3))/(4xy^3)	y^{\prime\:}=\frac{(y^{4}+3)}{4xy^{3}}
(dy)/(dx)=x^2*y^2	\frac{dy}{dx}=x^{2}\cdot\:y^{2}
integral of 1/(v^2-4)	\int\:\frac{1}{v^{2}-4}dv
integral of (2x+5)	\int\:(2x+5)dx
(\partial)/(\partial x)(cos(xz))	\frac{\partial\:}{\partial\:x}(\cos(xz))
4y^{''}+y=-4cos(x/2)-8xsin(x/2)	4y^{\prime\:\prime\:}+y=-4\cos(\frac{x}{2})-8x\sin(\frac{x}{2})
derivative of ((x^2))/(3+2x)	derivative\:\frac{(x^{2})}{3+2x}
(\partial)/(\partial x)((x-3)^2)	\frac{\partial\:}{\partial\:x}((x-3)^{2})
derivative of (x^3-x^4)	\frac{d}{dx}((x^{3}-x)^{4})
integral from 0 to infinity of 2/(1+x^2)	\int\:_{0}^{\infty\:}\frac{2}{1+x^{2}}dx
derivative of x^2tan(x)	derivative\:x^{2}\tan(x)
(\partial)/(\partial x)(ln(1/x))	\frac{\partial\:}{\partial\:x}(\ln(\frac{1}{x}))
(dy}{dx}=\frac{2y)/x	\frac{dy}{dx}=\frac{2y}{x}
laplacetransform e^{5t}	laplacetransform\:e^{5t}
y^'=-2y+5	y^{\prime\:}=-2y+5
derivative of (e^x/(2x+1))	\frac{d}{dx}(\frac{e^{x}}{2x+1})
(\partial)/(\partial x)((-(y^2))/((x-y)^2))	\frac{\partial\:}{\partial\:x}(\frac{-(y^{2})}{(x-y)^{2}})
t*(dy)/(dt)+y=2te^t	t\cdot\:\frac{dy}{dt}+y=2te^{t}
integral of 1/(x^{3/5)}	\int\:\frac{1}{x^{\frac{3}{5}}}dx
integral of 6cos(6x)	\int\:6\cos(6x)dx
integral of e^{tan(x)}	\int\:e^{\tan(x)}dx
integral of 1/((x-4)(x-2))	\int\:\frac{1}{(x-4)(x-2)}dx
limit as x approaches 0 of sqrt(x^4)	\lim\:_{x\to\:0}(\sqrt{x^{4}})
derivative of 5-2/t	derivative\:5-\frac{2}{t}
integral of axsin(x)	\int\:ax\sin(x)dx
integral of cosh(7x)	\int\:\cosh(7x)dx
tangent of 5sqrt(x),\at x=16	tangent\:5\sqrt{x},\at\:x=16
limit as x approaches 1 of x^2+4x	\lim\:_{x\to\:1}(x^{2}+4x)
limit as x approaches 3 of [8+4(-10)]	\lim\:_{x\to\:3}([8+4(-10)])
integral from-1 to 4 of 1/(sqrt(\|x\|))	\int\:_{-1}^{4}\frac{1}{\sqrt{\left\|x\right\|}}dx
(\partial)/(\partial x)(4x^2-2xy+y^2)	\frac{\partial\:}{\partial\:x}(4x^{2}-2xy+y^{2})
limit as x approaches 4 of x-4/(x^2-16)	\lim\:_{x\to\:4}(x-\frac{4}{x^{2}-16})
area x^3-3,[-2,0]	area\:x^{3}-3,[-2,0]
derivative of e^{3x+1}	derivative\:e^{3x+1}
derivative of (sin(5x)/5)	\frac{d}{dx}(\frac{\sin(5x)}{5})
integral of (2x^2-3x+2)	\int\:(2x^{2}-3x+2)dx
limit as x approaches m+of [x]	\lim\:_{x\to\:m+}([x])
derivative of y=(e^{2x})^2	derivative\:y=(e^{2x})^{2}
derivative of x^2+3y^2-3	\frac{d}{dx}(x^{2}+3y^{2}-3)
(dy)/(dt)+5y=0	\frac{dy}{dt}+5y=0
tangent of f(x)= x/(sqrt(x^2+9)),\at x=4	tangent\:f(x)=\frac{x}{\sqrt{x^{2}+9}},\at\:x=4
tangent of f(x)=2x^3,(2,16)	tangent\:f(x)=2x^{3},(2,16)
limit as x approaches 3+of (x^2+1)/(x-3)	\lim\:_{x\to\:3+}(\frac{x^{2}+1}{x-3})
slope of (-8,-2),(1,4)	slope\:(-8,-2),(1,4)
(\partial)/(\partial x)(9ycos(xy))	\frac{\partial\:}{\partial\:x}(9y\cos(xy))
(\partial)/(\partial x)((x^2+x-y)^7)	\frac{\partial\:}{\partial\:x}((x^{2}+x-y)^{7})
sum from n=1 to infinity of 0.7^n+0.9^n	\sum\:_{n=1}^{\infty\:}0.7^{n}+0.9^{n}
derivative of 6+cos(sqrt(3x))	\frac{d}{dx}(6+\cos(\sqrt{3x}))
integral from 2 to 6 of 1/(sqrt(2x-3))	\int\:_{2}^{6}\frac{1}{\sqrt{2x-3}}dx
limit as x approaches 0+of (3^x-1)/(x^2)	\lim\:_{x\to\:0+}(\frac{3^{x}-1}{x^{2}})
integral of (x^3)/a	\int\:\frac{x^{3}}{a}dx
derivative of xsqrt(2x^2+7)	derivative\:x\sqrt{2x^{2}+7}
(\partial)/(\partial x)(\|x\|y+2x)	\frac{\partial\:}{\partial\:x}(\left\|x\right\|y+2x)
derivative of 3e^{-2x}	\frac{d}{dx}(3e^{-2x})
integral of (1+x)/x	\int\:\frac{1+x}{x}dx
derivative of 5x^4(9-7x)^7	derivative\:5x^{4}(9-7x)^{7}
integral from-pi to pi of 1	\int\:_{-π}^{π}1
tangent of f(x)=x^3-3x^2-8x+9	tangent\:f(x)=x^{3}-3x^{2}-8x+9
limit as x approaches infinity of 5+2/x	\lim\:_{x\to\:\infty\:}(5+\frac{2}{x})
integral from 2 to 3 of (x-2)^3	\int\:_{2}^{3}(x-2)^{3}dx

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