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Popular Calculus Problems

(\partial)/(\partial x)((x^2-2x)/((x-1)^2))	\frac{\partial\:}{\partial\:x}(\frac{x^{2}-2x}{(x-1)^{2}})
integral of e^{-bx}	\int\:e^{-bx}dx
integral from 1 to 3 of x^2ln(x)	\int\:_{1}^{3}x^{2}\ln(x)dx
integral of (5x^2+2x-5)/(x^3-x)	\int\:\frac{5x^{2}+2x-5}{x^{3}-x}dx
f(x)=log_{10}(1+x^2)	f(x)=\log_{10}(1+x^{2})
y^{''}+2y^'+2y=sin(3x)	y^{\prime\:\prime\:}+2y^{\prime\:}+2y=\sin(3x)
(\partial)/(\partial x)(6y-5x^2e^{5y})	\frac{\partial\:}{\partial\:x}(6y-5x^{2}e^{5y})
integral of cot(ax-b)	\int\:\cot(ax-b)dx
integral of 4sin^2(xco)s^2x	\int\:4\sin^{2}(xco)s^{2}xdx
tangent of x^2+5x	tangent\:x^{2}+5x
limit as x approaches 0+of x^{1/(ln(x))}	\lim\:_{x\to\:0+}(x^{\frac{1}{\ln(x)}})
tangent of y=x^4+6e^x,(0,6)	tangent\:y=x^{4}+6e^{x},(0,6)
laplacetransform 5te^{-5*t}	laplacetransform\:5\cdot\:t\cdot\:e^{-5\cdot\:t}
(\partial)/(\partial y)(x^2y+x)	\frac{\partial\:}{\partial\:y}(x^{2}y+x)
derivative of x^2(x-3)	\frac{d}{dx}(x^{2}(x-3))
f(y)=tan(y)	f(y)=\tan(y)
integral of (x^2+x)/x	\int\:\frac{x^{2}+x}{x}dx
derivative of \sqrt[11]{x}	derivative\:\sqrt[11]{x}
derivative of f(x)=72x(6x^2+8)^5	derivative\:f(x)=72x(6x^{2}+8)^{5}
(\partial)/(\partial x)(sqrt(1+x))	\frac{\partial\:}{\partial\:x}(\sqrt{1+x})
integral from-5 to 5 of sqrt(10)	\int\:_{-5}^{5}\sqrt{10}dx
derivative of tan^2(7x)	derivative\:\tan^{2}(7x)
integral from 0 to pi/2 of 5sec^4(t/2)	\int\:_{0}^{\frac{π}{2}}5\sec^{4}(\frac{t}{2})dt
integral of (-1200x)/(sqrt(25-x^2))	\int\:\frac{-1200x}{\sqrt{25-x^{2}}}dx
derivative of 3.23e^{-61.4t}	derivative\:3.23e^{-61.4t}
integral of ((10)/x)	\int\:(\frac{10}{x})dx
limit as x approaches 3 of ((4-x))/(x-3)	\lim\:_{x\to\:3}(\frac{(4-x)}{x-3})
(\partial)/(\partial y)(sqrt(x^4+y^4))	\frac{\partial\:}{\partial\:y}(\sqrt{x^{4}+y^{4}})
derivative of (4x)/(5-tan(x))	derivative\:\frac{4x}{5-\tan(x)}
integral of 4x(x^2-3)^5	\int\:4x(x^{2}-3)^{5}dx
(\partial)/(\partial y)(20-5xy-5x)	\frac{\partial\:}{\partial\:y}(20-5xy-5x)
derivative of 2log_{e}(x)	\frac{d}{dx}(2\log_{e}(x))
derivative of log_{2}(x)	derivative\:\log_{2}(x)
integral of (1/(x^2+1))	\int\:(\frac{1}{x^{2}+1})dx
integral of 4x^3+e^x-1	\int\:4x^{3}+e^{x}-1dx
limit as x approaches 2 of (x+2)/(x^3+8)	\lim\:_{x\to\:2}(\frac{x+2}{x^{3}+8})
integral of (2/(1+x^2))	\int\:(\frac{2}{1+x^{2}})dx
derivative of \sqrt[k]{x}	\frac{d}{dx}(\sqrt[k]{x})
longdivision (x^5-5)/(x+1)	longdivision\:\frac{x^{5}-5}{x+1}
limit as x approaches 4 of 9x+\|x-4\|	\lim\:_{x\to\:4}(9x+\left\|x-4\right\|)
xdy+ydx=3dx	xdy+ydx=3dx
derivative of (1-cos(x))/(sin(x))	derivative\:\frac{1-\cos(x)}{\sin(x)}
y^'+(3x)/(x^2+4)y= x/(x^2+4),y(0)=1	y^{\prime\:}+\frac{3x}{x^{2}+4}y=\frac{x}{x^{2}+4},y(0)=1
area y=4x^2,y=7x-3x^2	area\:y=4x^{2},y=7x-3x^{2}
derivative of (2x)/(2+sqrt(x))	derivative\:\frac{2x}{2+\sqrt{x}}
integral of sin^2(8x)	\int\:\sin^{2}(8x)dx
derivative of 5x^4-60x^2+64	\frac{d}{dx}(5x^{4}-60x^{2}+64)
integral of e^xx^{-1}	\int\:e^{x}x^{-1}dx
integral from 2 to infinity of e^{-8x}	\int\:_{2}^{\infty\:}e^{-8x}dx
y^'=e^xy	y^{\prime\:}=e^{x}y
derivative of 3x-x^3	\frac{d}{dx}(3x-x^{3})
limit as x approaches-infinity of x-e^x	\lim\:_{x\to\:-\infty\:}(x-e^{x})
integral of e^{-sqrt(x)}	\int\:e^{-\sqrt{x}}dx
derivative of y=3x^2+5x	derivative\:y=3x^{2}+5x
integral of 64-x^2	\int\:64-x^{2}dx
derivative of (36/(x^2+2))	\frac{d}{dx}(\frac{36}{x^{2}+2})
integral of-(2ln(x))/x	\int\:-\frac{2\ln(x)}{x}dx
integral of tan^3(2x)sec(2x)	\int\:\tan^{3}(2x)\sec(2x)dx
derivative of (1+1/x ^x)	\frac{d}{dx}((1+\frac{1}{x})^{x})
(dy)/(dx)+(3xy^3)=0,y(0)=1	\frac{dy}{dx}+(3xy^{3})=0,y(0)=1
derivative of 3/(sqrt(6x+3))	\frac{d}{dx}(\frac{3}{\sqrt{6x+3}})
integral from 0 to 5 of 1/(x^{21/22)}	\int\:_{0}^{5}\frac{1}{x^{\frac{21}{22}}}dx
integral of (sin(2x))/(42+cos^2(x))	\int\:\frac{\sin(2x)}{42+\cos^{2}(x)}dx
integral of (x^3-4x+1)/(x^2-3x+2)	\int\:\frac{x^{3}-4x+1}{x^{2}-3x+2}dx
derivative of ((2x^2-1^3)/((5x-8)^2))	\frac{d}{dx}(\frac{(2x^{2}-1)^{3}}{(5x-8)^{2}})
integral of sqrt(t^2+1)	\int\:\sqrt{t^{2}+1}dt
derivative of (x^2-1/((x+1)^2))	\frac{d}{dx}(\frac{x^{2}-1}{(x+1)^{2}})
d/(dt)(8)	\frac{d}{dt}(8)
integral of (e^{7/x})/(x^2)	\int\:\frac{e^{\frac{7}{x}}}{x^{2}}dx
limit as x approaches 0 of (x-\|x\|)/x	\lim\:_{x\to\:0}(\frac{x-\left\|x\right\|}{x})
integral of 1/((x-3)ln(x-3))	\int\:\frac{1}{(x-3)\ln(x-3)}dx
(dx)/(dt)=x-x^3	\frac{dx}{dt}=x-x^{3}
(xe^{-2x})^'	(xe^{-2x})^{\prime\:}
integral of tan^3(pix)	\int\:\tan^{3}(πx)dx
integral from 0 to infinity of e^{-2ax}	\int\:_{0}^{\infty\:}e^{-2ax}dx
limit as x approaches 9+of (x+8)/(x+9)	\lim\:_{x\to\:9+}(\frac{x+8}{x+9})
tangent of f(x)=(x-7)/(2x-3),\at x=1	tangent\:f(x)=\frac{x-7}{2x-3},\at\:x=1
integral of sin^3(9x)	\int\:\sin^{3}(9x)dx
integral of (arccos(x)-x)/(sqrt(1-x^2))	\int\:\frac{\arccos(x)-x}{\sqrt{1-x^{2}}}dx
integral from-0.5 to 4.5 of x^3	\int\:_{-0.5}^{4.5}x^{3}dx
integral of (x^2e^{-x})	\int\:(x^{2}e^{-x})dx
limit as x approaches 0 of (x^3+x)/x	\lim\:_{x\to\:0}(\frac{x^{3}+x}{x})
derivative of sqrt(4x+6)	\frac{d}{dx}(\sqrt{4x+6})
integral from-infinity to 0 of 1/(2-7x)	\int\:_{-\infty\:}^{0}\frac{1}{2-7x}dx
derivative of x^5ln(x)	derivative\:x^{5}\ln(x)
limit as x approaches 0 of (2x)^x	\lim\:_{x\to\:0}((2x)^{x})
integral of 1/(81e^{-6x)+e^{6x}}	\int\:\frac{1}{81e^{-6x}+e^{6x}}dx
integral from 1 to x of sqrt(1+9t)	\int\:_{1}^{x}\sqrt{1+9t}dt
limit as n approaches infinity of nln(n)	\lim\:_{n\to\:\infty\:}(n\ln(n))
derivative of (5sqrt(x))+(4-x^2)	derivative\:(5\sqrt{x})+(4-x^{2})
integral of xe^{8x}	\int\:xe^{8x}dx
derivative of 8^{1/3}	\frac{d}{dx}(8^{\frac{1}{3}})
tangent of x^{2/3}	tangent\:x^{\frac{2}{3}}
limit as x approaches e of x(e^x+1/x)	\lim\:_{x\to\:e}(x(e^{x}+\frac{1}{x}))
limit as x approaches 0 of ((4^x-2^x))/x	\lim\:_{x\to\:0}(\frac{(4^{x}-2^{x})}{x})
limit as x approaches 0 of (1-3x)^{1/x}	\lim\:_{x\to\:0}((1-3x)^{\frac{1}{x}})
integral of (sin(x)+7cos(x)-1)	\int\:(\sin(x)+7\cos(x)-1)dx
laplacetransform (te)^3e^{-2(t+1)}	laplacetransform\:(te)^{3}e^{-2(t+1)}
sum from n=5 to infinity of e^{5-2n}	\sum\:_{n=5}^{\infty\:}e^{5-2n}
inverse oflaplace 3/(s^2-2s-15)	inverselaplace\:\frac{3}{s^{2}-2s-15}

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