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Popular Calculus Problems

integral of xsin(6x)	\int\:x\sin(6x)dx
3y^{''}-8y^'-3y=0	3y^{\prime\:\prime\:}-8y^{\prime\:}-3y=0
integral of 5/(sqrt(36-25x^2))	\int\:\frac{5}{\sqrt{36-25x^{2}}}dx
integral of sin^4(x)cos^6(x)	\int\:\sin^{4}(x)\cos^{6}(x)dx
integral of 20x(5x^2-3)^3	\int\:20x(5x^{2}-3)^{3}dx
(d^2y)/(dx^2)+4y=0	\frac{d^{2}y}{dx^{2}}+4y=0
integral of 1/(4x-3)	\int\:\frac{1}{4x-3}dx
derivative of 1/(8y^2)	derivative\:\frac{1}{8y^{2}}
derivative of cos(2x^{11})	derivative\:\cos(2x^{11})
derivative of (x/(x+1)^2)	\frac{d}{dx}((\frac{x}{x+1})^{2})
derivative of e^{-6x}	derivative\:e^{-6x}
derivative of 7cos(x+3e^x)	\frac{d}{dx}(7\cos(x)+3e^{x})
derivative of y=sqrt(1+cot^2(x))	derivative\:y=\sqrt{1+\cot^{2}(x)}
derivative of e^{2x}+e^{3x}	\frac{d}{dx}(e^{2x}+e^{3x})
y^'-5y=10	y^{\prime\:}-5y=10
derivative of x^9ln(x)	\frac{d}{dx}(x^{9}\ln(x))
(dy}{dx}=-\frac{3x)/y	\frac{dy}{dx}=-\frac{3x}{y}
derivative of e^{at}sin(bt)	\frac{d}{dx}(e^{at}\sin(bt))
integral of cos(4θ)	\int\:\cos(4θ)dθ
y=cos(5x)	y=\cos(5x)
derivative of (80sin(0.6x)/x+15)	\frac{d}{dx}(\frac{80\sin(0.6x)}{x}+15)
limit as h approaches 0 of (7(a+h)^2-7a^2)/h	\lim\:_{h\to\:0}(\frac{7(a+h)^{2}-7a^{2}}{h})
integral of 1/(sin(5x)cos(5x))	\int\:\frac{1}{\sin(5x)\cos(5x)}dx
integral of 8e^{-t}	\int\:8e^{-t}dt
derivative of-(x^2)/(20)+230x-74000	derivative\:-\frac{x^{2}}{20}+230x-74000
y^{''}+16y=e^{3x}	y^{\prime\:\prime\:}+16y=e^{3x}
d/(ds)(s/t)	\frac{d}{ds}(\frac{s}{t})
integral of 3/(6x-x^2)	\int\:\frac{3}{6x-x^{2}}dx
derivative of 7x^{-12}	\frac{d}{dx}(7x^{-12})
derivative of arcsec(5x^4)	\frac{d}{dx}(\arcsec(5x^{4}))
derivative of cos(3y)	derivative\:\cos(3y)
derivative of e^{-5x^4}	\frac{d}{dx}(e^{-5x^{4}})
integral of (x^2+3)sin(x)	\int\:(x^{2}+3)\sin(x)dx
integral of (cos(x))/(sin^4(x)-16)	\int\:\frac{\cos(x)}{\sin^{4}(x)-16}dx
integral of (2x^2-4)/(x^2(x-2))	\int\:\frac{2x^{2}-4}{x^{2}(x-2)}dx
derivative of y=sqrt(x)(x-14)	derivative\:y=\sqrt{x}(x-14)
integral of sqrt(x)(2+xsqrt(x))^5	\int\:\sqrt{x}(2+x\sqrt{x})^{5}dx
derivative of-e^{-x}x^2+e^{-x}x	\frac{d}{dx}(-e^{-x}x^{2}+e^{-x}x)
(dy)/(dx)=sqrt(xy)	\frac{dy}{dx}=\sqrt{xy}
(\partial)/(\partial x)((x^2+2y)/(x^3-y^2))	\frac{\partial\:}{\partial\:x}(\frac{x^{2}+2y}{x^{3}-y^{2}})
derivative of ln(xsqrt(x^2-5))	\frac{d}{dx}(\ln(x\sqrt{x^{2}-5}))
integral of 1/(xln^5(x))	\int\:\frac{1}{x\ln^{5}(x)}dx
derivative of (e^{3x^2})/(5x)	derivative\:\frac{e^{3x^{2}}}{5x}
slope of (19.3)(20.3)	slope\:(19.3)(20.3)
derivative of sqrt(e^{sin(x)})	\frac{d}{dx}(\sqrt{e^{\sin(x)}})
limit as x approaches 2 of (x-2)/((x-2))	\lim\:_{x\to\:2}(\frac{x-2}{(x-2)})
derivative of (2x^3-12x^{4/3})	\frac{d}{dx}((2x^{3}-12x)^{\frac{4}{3}})
64y^{''}+80y^'+25y=0,y(0)=a,y^'(0)=-5	64y^{\prime\:\prime\:}+80y^{\prime\:}+25y=0,y(0)=a,y^{\prime\:}(0)=-5
integral of 7arcsin(x)	\int\:7\arcsin(x)dx
limit as z approaches 10 of 1/(z-10)	\lim\:_{z\to\:10}(\frac{1}{z-10})
integral of arccos(1/x)	\int\:\arccos(\frac{1}{x})dx
integral of sin^2(y)cos(y)	\int\:\sin^{2}(y)\cos(y)dy
inverse oflaplace 1/((s-1)(s+4))	inverselaplace\:\frac{1}{(s-1)(s+4)}
integral of (4x^3-2x)(x^4-x^2-5)^3	\int\:(4x^{3}-2x)(x^{4}-x^{2}-5)^{3}dx
integral of sin(ax)	\int\:\sin(ax)dx
integral of ((10^{2x}+1))/((10^x-1))	\int\:\frac{(10^{2x}+1)}{(10^{x}-1)}dx
integral of ((x^2-16))/((x-4))	\int\:\frac{(x^{2}-16)}{(x-4)}dx
integral from 2 to 4 of 1/x	\int\:_{2}^{4}\frac{1}{x}dx
integral of 4/(cos^2(x))	\int\:\frac{4}{\cos^{2}(x)}dx
integral of e^{-px}	\int\:e^{-px}dx
derivative of x^{2/3}(x+4^{1/2})	\frac{d}{dx}(x^{\frac{2}{3}}(x+4)^{\frac{1}{2}})
derivative of f(x)=sqrt(8x-x^2)	derivative\:f(x)=\sqrt{8x-x^{2}}
derivative of-x^2+26x+920	derivative\:-x^{2}+26x+920
derivative of (4x-sqrt(1+x)/(x^2-1))	\frac{d}{dx}(\frac{4x-\sqrt{1+x}}{x^{2}-1})
sum from n=1 to infinity of n/(n^3+5)	\sum\:_{n=1}^{\infty\:}\frac{n}{n^{3}+5}
derivative of xsqrt(4-x)	\frac{d}{dx}(x\sqrt{4-x})
simplify ((sin(x))/(1+cos(x)))^2	simplify\:(\frac{\sin(x)}{1+\cos(x)})^{2}
derivative of f(x)=sqrt((x^2*3^x)^7)	derivative\:f(x)=\sqrt{(x^{2}\cdot\:3^{x})^{7}}
ty^'+2y=4t^2,y(1)=2	ty^{\prime\:}+2y=4t^{2},y(1)=2
tangent of f(x)=-1-4x^2,(3,-37)	tangent\:f(x)=-1-4x^{2},(3,-37)
2y^{''}+72y=0	2y^{\prime\:\prime\:}+72y=0
integral of ce^{-x}	\int\:ce^{-x}dx
integral of (x^2)/(sqrt(x^2-9))	\int\:\frac{x^{2}}{\sqrt{x^{2}-9}}dx
integral of (3x)/(x^2-x+6)	\int\:\frac{3x}{x^{2}-x+6}dx
integral of xe^{-iwx}	\int\:xe^{-iwx}dx
d/(dθ)((1+2sin(θ))cos(θ))	\frac{d}{dθ}((1+2\sin(θ))\cos(θ))
derivative of-7x^5-1	derivative\:-7x^{5}-1
integral of 1/(sqrt(x^2-4x+13))	\int\:\frac{1}{\sqrt{x^{2}-4x+13}}dx
(\partial)/(\partial x)(4x^{8y})	\frac{\partial\:}{\partial\:x}(4x^{8y})
integral of xsqrt(2-\sqrt{1-x^2)}	\int\:x\sqrt{2-\sqrt{1-x^{2}}}dx
integral of (arccos(x))^2	\int\:(\arccos(x))^{2}dx
derivative of y=x^2sqrt(16-x^2)	derivative\:y=x^{2}\sqrt{16-x^{2}}
integral from 0 to pi/6 of 6sec^3(x)	\int\:_{0}^{\frac{π}{6}}6\sec^{3}(x)dx
laplacetransform sin(6(t-pi/6))	laplacetransform\:\sin(6(t-\frac{π}{6}))
sum from n=0 to infinity of 1/((4n+3)^2)	\sum\:_{n=0}^{\infty\:}\frac{1}{(4n+3)^{2}}
derivative of (x+3^{1/2})	\frac{d}{dx}((x+3)^{\frac{1}{2}})
integral of 1/(x^2(4+x^2))	\int\:\frac{1}{x^{2}(4+x^{2})}dx
derivative of sqrt(3x^2+4)	\frac{d}{dx}(\sqrt{3x^{2}+4})
derivative of sqrt(4cos(x)+12x)	derivative\:\sqrt{4\cos(x)+12x}
tangent of f(x)=8sqrt(x)-3,\at x=64	tangent\:f(x)=8\sqrt{x}-3,\at\:x=64
d/(dy)(yx^2)	\frac{d}{dy}(yx^{2})
y^{''}+11y^'+22y=3468e^{2t}cos(12t)	y^{\prime\:\prime\:}+11y^{\prime\:}+22y=3468e^{2t}\cos(12t)
2y(dy)/(dx)+y^2cot(x)=csc(x)	2y\frac{dy}{dx}+y^{2}\cot(x)=\csc(x)
limit as x approaches 0 of (2x-2)^3	\lim\:_{x\to\:0}((2x-2)^{3})
derivative of (3x-2)^6	derivative\:(3x-2)^{6}
limit as x approaches 1 of x^3+x^2-3	\lim\:_{x\to\:1}(x^{3}+x^{2}-3)
integral from 1 to 32 of (x^{-6/5})	\int\:_{1}^{32}(x^{-\frac{6}{5}})dx
sum from n=1 to infinity of (2/5)^n	\sum\:_{n=1}^{\infty\:}(\frac{2}{5})^{n}
derivative of (sin(x^2))/(3x)	derivative\:\frac{\sin(x^{2})}{3x}
integral of (2x-1)^{1/2}	\int\:(2x-1)^{\frac{1}{2}}dx

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