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Popular Calculus Problems

inverse oflaplace ((2s+3))/(s^2+6s+13)	inverselaplace\:\frac{(2s+3)}{s^{2}+6s+13}
inverse oflaplace 1/(e(s-1)^3)	inverselaplace\:\frac{1}{e(s-1)^{3}}
derivative of sin(pix)	derivative\:\sin(πx)
tangent of y=3+5x^2-2x^3	tangent\:y=3+5x^{2}-2x^{3}
limit as x approaches 0 of (5x+2)^3	\lim\:_{x\to\:0}((5x+2)^{3})
derivative of ln(25sin^2(x))	derivative\:\ln(25\sin^{2}(x))
limit as x approaches infinity of ((3x^3+12x^2-8x+1))/((x^2+2)(3x-1))	\lim\:_{x\to\:\infty\:}(\frac{(3x^{3}+12x^{2}-8x+1)}{(x^{2}+2)(3x-1)})
y^{'''}-9y^{''}+27y^'-27y=0	y^{\prime\:\prime\:\prime\:}-9y^{\prime\:\prime\:}+27y^{\prime\:}-27y=0
derivative of arcsin(8x)	\frac{d}{dx}(\arcsin(8x))
derivative of e^{-5/(t^7)}	derivative\:e^{-\frac{5}{t^{7}}}
derivative of ln(2x-1)	derivative\:\ln(2x-1)
integral of-x^7e^{x^8-7}-2x	\int\:-x^{7}e^{x^{8}-7}-2xdx
derivative of (cos(x)/(2sin^2(x)))	\frac{d}{dx}(\frac{\cos(x)}{2\sin^{2}(x)})
derivative of e^{1/(sqrt(x)})	\frac{d}{dx}(e^{\frac{1}{\sqrt{x}}})
derivative of x^{-2}(4+3x^{-3})	\frac{d}{dx}(x^{-2}(4+3x^{-3}))
integral of (e^x-x^e+5/x)	\int\:(e^{x}-x^{e}+\frac{5}{x})dx
integral of 4^{7x}	\int\:4^{7x}dx
limit as x approaches-1 of sqrt(x+5)-2	\lim\:_{x\to\:-1}(\sqrt{x+5}-2)
derivative of 5^{x^4}	derivative\:5^{x^{4}}
3x^2y+x^3y^'=-7sec^2(x)tan(x)	3x^{2}y+x^{3}y^{\prime\:}=-7\sec^{2}(x)\tan(x)
tangent of f(x)=2x^3-4x+6	tangent\:f(x)=2x^{3}-4x+6
integral from 0 to 4 of 0	\int\:_{0}^{4}0dx
y^'=4+e^{y-4x+1}	y^{\prime\:}=4+e^{y-4x+1}
inverse oflaplace (400)/(s^2+12s+400)	inverselaplace\:\frac{400}{s^{2}+12s+400}
tangent of f(x)=x^2+4,(-3,13)	tangent\:f(x)=x^{2}+4,(-3,13)
integral of (cos^3(3t))/(sin^5(3t))	\int\:\frac{\cos^{3}(3t)}{\sin^{5}(3t)}dt
y^'+(2y)/(t-2)=(sin(t))/(t-2)	y^{\prime\:}+\frac{2y}{t-2}=\frac{\sin(t)}{t-2}
(\partial)/(\partial x)(3xy+4xz+5yz-3)	\frac{\partial\:}{\partial\:x}(3xy+4xz+5yz-3)
derivative of 3cot(x)	\frac{d}{dx}(3\cot(x))
integral of sqrt(2-2cos(t))	\int\:\sqrt{2-2\cos(t)}dt
integral of (x^2)/((1+x)^3)	\int\:\frac{x^{2}}{(1+x)^{3}}dx
inverse oflaplace (se^{-2s})/(s^2+3s+2)	inverselaplace\:\frac{se^{-2s}}{s^{2}+3s+2}
integral of 7^{4x}	\int\:7^{4x}dx
limit as x approaches 1/2 of (6x-1)/x	\lim\:_{x\to\:\frac{1}{2}}(\frac{6x-1}{x})
derivative of arccosh(e^{2x})	\frac{d}{dx}(\arccosh(e^{2x}))
integral of xcos(ln(x))	\int\:x\cos(\ln(x))dx
integral of x^{14}e^{x^3}	\int\:x^{14}e^{x^{3}}dx
(\partial)/(\partial x)(e^{xln(y)})	\frac{\partial\:}{\partial\:x}(e^{x\ln(y)})
limit as x approaches 2 of x/((x-2)^2)	\lim\:_{x\to\:2}(\frac{x}{(x-2)^{2}})
slope of 2x^4-11x^2	slope\:2x^{4}-11x^{2}
(\partial)/(\partial x)((G(x,y,r)xy)/(r^2))	\frac{\partial\:}{\partial\:x}(\frac{G(x,y,r)xy}{r^{2}})
derivative of f(x)=(x^2-a^2)/(x^2+a^2)	derivative\:f(x)=\frac{x^{2}-a^{2}}{x^{2}+a^{2}}
integral of ln(1+1/x)	\int\:\ln(1+\frac{1}{x})dx
x^2y^{''}+17xy^'+113y=0	x^{2}y^{\prime\:\prime\:}+17xy^{\prime\:}+113y=0
derivative of (2x^2/(2x^2+1))	\frac{d}{dx}(\frac{2x^{2}}{2x^{2}+1})
sum from n=0 to infinity of 7/(3^n)	\sum\:_{n=0}^{\infty\:}\frac{7}{3^{n}}
derivative of cosh(kx)	\frac{d}{dx}(\cosh(kx))
integral of 1/(tan^2(u)+1)	\int\:\frac{1}{\tan^{2}(u)+1}du
limit as x approaches 1-of 1/(x^2-1)	\lim\:_{x\to\:1-}(\frac{1}{x^{2}-1})
integral of 2/(3sqrt(x))	\int\:\frac{2}{3\sqrt{x}}dx
limit as x approaches pi/2 of csc(x)	\lim\:_{x\to\:\frac{π}{2}}(\csc(x))
tangent of y=sqrt(x-1),(10,3)	tangent\:y=\sqrt{x-1},(10,3)
derivative of f(x)=2e^0	derivative\:f(x)=2e^{0}
integral of 1/(cos^2(x)sqrt(1+tan(x)))	\int\:\frac{1}{\cos^{2}(x)\sqrt{1+\tan(x)}}dx
(\partial}{\partial x}(\frac{9x)/y)	\frac{\partial\:}{\partial\:x}(\frac{9x}{y})
tangent of y=xsqrt(x),(9,27)	tangent\:y=x\sqrt{x},(9,27)
d/(dn)(5^n)	\frac{d}{dn}(5^{n})
limit as x approaches 4 of 8/x	\lim\:_{x\to\:4}(\frac{8}{x})
integral of 1/(sqrt(x^2+2x+5))	\int\:\frac{1}{\sqrt{x^{2}+2x+5}}dx
tangent of y=6+4x^2-2x^3	tangent\:y=6+4x^{2}-2x^{3}
integral from 1 to infinity of 2e^{-x}	\int\:_{1}^{\infty\:}2e^{-x}dx
derivative of (3x^{2x})	\frac{d}{dx}((3x)^{2x})
sum from n=0 to infinity of n/(e^{n^2)}	\sum\:_{n=0}^{\infty\:}\frac{n}{e^{n^{2}}}
(\partial)/(\partial y)(yze^x)	\frac{\partial\:}{\partial\:y}(yze^{x})
integral of ln(1+x^2)	\int\:\ln(1+x^{2})dx
(\partial)/(\partial x)((2x+8)ln(xy))	\frac{\partial\:}{\partial\:x}((2x+8)\ln(xy))
integral of sin(20x)cos(11x)	\int\:\sin(20x)\cos(11x)dx
f^'(x)=3x+2	f^{\prime\:}(x)=3x+2
limit as x approaches 3 of 1/((x-3)^3)	\lim\:_{x\to\:3}(\frac{1}{(x-3)^{3}})
d/(dt)(arctan(4t))	\frac{d}{dt}(\arctan(4t))
integral of cos(t)-5sin(t)	\int\:\cos(t)-5\sin(t)dt
limit as x approaches 0+of xln(tan(5x))	\lim\:_{x\to\:0+}(x\ln(\tan(5x)))
inverse oflaplace 4s	inverselaplace\:4s
tangent of f(x)= 2/x ,\at x=-9	tangent\:f(x)=\frac{2}{x},\at\:x=-9
derivative of (x^2+2xe^x)	\frac{d}{dx}((x^{2}+2x)e^{x})
integral from-1 to 1 of cos(npix)	\int\:_{-1}^{1}\cos(nπx)dx
tangent of x^2+2xy-y^2+x=51,(5,7)	tangent\:x^{2}+2xy-y^{2}+x=51,(5,7)
slope of (4.3)(4.6)	slope\:(4.3)(4.6)
integral of e^{-x}+e^{-3x}	\int\:e^{-x}+e^{-3x}dx
sum from n=0 to infinity of (n!)/(n^n)	\sum\:_{n=0}^{\infty\:}\frac{n!}{n^{n}}
integral of (1/(x^9)-x^9-1/8)	\int\:(\frac{1}{x^{9}}-x^{9}-\frac{1}{8})dx
derivative of (sqrt(x)-5)/(x-25)	derivative\:\frac{\sqrt{x}-5}{x-25}
integral from 0 to 1 of (x^2+1)e^{-1}	\int\:_{0}^{1}(x^{2}+1)e^{-1}dx
integral of 5/(1000+t)	\int\:\frac{5}{1000+t}dt
integral of x^2(4-x)	\int\:x^{2}(4-x)dx
limit as x approaches 2 of (4-x^2)/(2+x)	\lim\:_{x\to\:2}(\frac{4-x^{2}}{2+x})
derivative of 20x-x^2	\frac{d}{dx}(20x-x^{2})
(dx)/(dt)= 3/2 tcos^2(x),x(0)=-1.4	\frac{dx}{dt}=\frac{3}{2}t\cos^{2}(x),x(0)=-1.4
derivative of sqrt(x+1)+sqrt(x)	\frac{d}{dx}(\sqrt{x+1}+\sqrt{x})
integral of 10sin^3(x)cos^5(x)	\int\:10\sin^{3}(x)\cos^{5}(x)dx
derivative of 1/(1-t)	derivative\:\frac{1}{1-t}
integral of x/(x^2(x^2+1))	\int\:\frac{x}{x^{2}(x^{2}+1)}dx
y^{''}+6y^'+11y=0,y(0)=-1,y^'(0)=-4	y^{\prime\:\prime\:}+6y^{\prime\:}+11y=0,y(0)=-1,y^{\prime\:}(0)=-4
derivative of (27/(x^2+9))	\frac{d}{dx}(\frac{27}{x^{2}+9})
integral from 0 to 7 of (2t)/((t-8)^2)	\int\:_{0}^{7}\frac{2t}{(t-8)^{2}}dt
(\partial)/(\partial x)((2pikt)/(ln(r/x)))	\frac{\partial\:}{\partial\:x}(\frac{2πkt}{\ln(\frac{r}{x})})
d/(dt)(t*sin(t))	\frac{d}{dt}(t\cdot\:\sin(t))
xy^2y^'=x+4	xy^{2}y^{\prime\:}=x+4
derivative of 3cot(x/8)	\frac{d}{dx}(3\cot(\frac{x}{8}))
integral of ze^{2z}	\int\:ze^{2z}dz

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