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Popular Calculus Problems

integral of arctan(x)	\int\:\arctan(x)dx
limit as y approaches infinity of (sqrt(y^2+2))/(5y-6)	\lim\:_{y\to\:\infty\:}(\frac{\sqrt{y^{2}+2}}{5y-6})
integral of 3e	\int\:3edx
(\partial)/(\partial x)(sin^4(x-7y))	\frac{\partial\:}{\partial\:x}(\sin^{4}(x-7y))
integral of 5x	\int\:5xdx
4dy+ydx=x^2dy	4dy+ydx=x^{2}dy
y^'=2x-3y+1	y^{\prime\:}=2x-3y+1
e^{2y}y^'=3	e^{2y}y^{\prime\:}=3
sum from n=0 to infinity of (x/4)^n	\sum\:_{n=0}^{\infty\:}(\frac{x}{4})^{n}
integral of ((x+2))/(sqrt(4x-x^2))	\int\:\frac{(x+2)}{\sqrt{4x-x^{2}}}dx
derivative of 1/60 sqrt(wh)	derivative\:\frac{1}{60}\sqrt{wh}
derivative of (64/x)	\frac{d}{dx}(\frac{64}{x})
tangent of f(x)=8x^2+5x,\at x=3	tangent\:f(x)=8x^{2}+5x,\at\:x=3
limit as x approaches 1.001 of x^2-2x-1	\lim\:_{x\to\:1.001}(x^{2}-2x-1)
integral of e^xsqrt(5-e^x)	\int\:e^{x}\sqrt{5-e^{x}}dx
integral of e^{-4x}*x	\int\:e^{-4x}\cdot\:xdx
derivative of 2x^2+15	derivative\:2x^{2}+15
tangent of y=sec(x),(pi/6 ,2(sqrt(3))/3)	tangent\:y=\sec(x),(\frac{π}{6},2\frac{\sqrt{3}}{3})
derivative of tan^8(x)	derivative\:\tan^{8}(x)
(\partial)/(\partial y)(x^3+2xy+y^2)	\frac{\partial\:}{\partial\:y}(x^{3}+2xy+y^{2})
integral of x^{(-5)/3}	\int\:x^{\frac{-5}{3}}dx
derivative of csc(7x)	\frac{d}{dx}(\csc(7x))
derivative of (2x-1)^2ln(2x-1)	derivative\:(2x-1)^{2}\ln(2x-1)
integral of (y^2)/(y-1)	\int\:\frac{y^{2}}{y-1}dy
derivative of (Ax+Be^{-2x})	\frac{d}{dx}((Ax+B)e^{-2x})
limit as x approaches 90 of tan(x)	\lim\:_{x\to\:90}(\tan(x))
integral of (e^x)/(x^4)	\int\:\frac{e^{x}}{x^{4}}dx
y^{''}+4y=x^2	y^{\prime\:\prime\:}+4y=x^{2}
derivative of (ln(3x^2-6x)/(4x^3-2))	\frac{d}{dx}(\frac{\ln(3x^{2}-6x)}{4x^{3}-2})
derivative of 4sec(4x)	\frac{d}{dx}(4\sec(4x))
sum from n=1 to infinity of cos(1/n)	\sum\:_{n=1}^{\infty\:}\cos(\frac{1}{n})
derivative of ln((1+sin(4x)/(cos(4x))))	\frac{d}{dx}(\ln(\frac{1+\sin(4x)}{\cos(4x)}))
derivative of sqrt(4ax)	\frac{d}{dx}(\sqrt{4ax})
integral of (x-8)/(x^2+2)	\int\:\frac{x-8}{x^{2}+2}dx
(\partial)/(\partial y)(e^{3x+4y}cos(5z))	\frac{\partial\:}{\partial\:y}(e^{3x+4y}\cos(5z))
integral from 6 to 8 of (56)/((x-6)^3)	\int\:_{6}^{8}\frac{56}{(x-6)^{3}}dx
derivative of f(x)=(-4x^2+9)^2	derivative\:f(x)=(-4x^{2}+9)^{2}
derivative of (12/(x+1))	\frac{d}{dx}(\frac{12}{x+1})
limit as x approaches-3+of x	\lim\:_{x\to\:-3+}(x)
taylor (e^{t^2}-1)/t	taylor\:\frac{e^{t^{2}}-1}{t}
integral of 6e^{-t}	\int\:6e^{-t}dt
integral of x^3sqrt(16+x^2)	\int\:x^{3}\sqrt{16+x^{2}}dx
derivative of 4x(x^2-9)	derivative\:4x(x^{2}-9)
y^{''}+3y^'+10y=0	y^{\prime\:\prime\:}+3y^{\prime\:}+10y=0
slope of (-6,-6),(-5,0)	slope\:(-6,-6),(-5,0)
derivative of x^3+5x^2-x^{-2}+8	\frac{d}{dx}(x^{3}+5x^{2}-x^{-2}+8)
derivative of sin^7(2x)	\frac{d}{dx}(\sin^{7}(2x))
derivative of-10e^{-2x}	\frac{d}{dx}(-10e^{-2x})
derivative of y=(6x)/(7-tan(x))	derivative\:y=\frac{6x}{7-\tan(x)}
integral of 1/(1+2y)	\int\:\frac{1}{1+2y}dy
integral of (sin(x))/((1+cos(x)))	\int\:\frac{\sin(x)}{(1+\cos(x))}dx
derivative of 1/(sqrt(x+8))	derivative\:\frac{1}{\sqrt{x+8}}
derivative of f(x)=9sin(3x)	derivative\:f(x)=9\sin(3x)
integral from 0 to 5 of 3f(x)	\int\:_{0}^{5}3f(x)dx
integral of x^3sqrt(1+x^2)	\int\:x^{3}\sqrt{1+x^{2}}dx
derivative of 2Ax	\frac{d}{dx}(2Ax)
y^'=2y-3y^2	y^{\prime\:}=2y-3y^{2}
slope ofintercept (2.8)(0.6)	slopeintercept\:(2.8)(0.6)
derivative of f(x)= x/(8x^3-2x+9)	derivative\:f(x)=\frac{x}{8x^{3}-2x+9}
derivative of (arctan(x)/x)	\frac{d}{dx}(\frac{\arctan(x)}{x})
integral of 6sin^3(x)cos^2(x)	\int\:6\sin^{3}(x)\cos^{2}(x)dx
integral of xcos^2(x)sin(x)	\int\:x\cos^{2}(x)\sin(x)dx
integral of (3t+t^2)sin(3t)	\int\:(3t+t^{2})\sin(3t)dt
integral of ln(1+t^2)	\int\:\ln(1+t^{2})dt
derivative of 2w^{3pi},\at 7	derivative\:2w^{3π},\at\:7
inverse oflaplace k/s	inverselaplace\:\frac{k}{s}
derivative of cos^2(9x+sin^2(9x))	\frac{d}{dx}(\cos^{2}(9x)+\sin^{2}(9x))
(dy)/(dx)+y/(x^2+x)=x+1	\frac{dy}{dx}+\frac{y}{x^{2}+x}=x+1
derivative of 2Inx	\frac{d}{dx}(2Inx)
maclaurin 3sin(-2x^2)	maclaurin\:3\sin(-2x^{2})
limit as x approaches 0 of (1+2x)^{1/(2x^2)}	\lim\:_{x\to\:0}((1+2x)^{\frac{1}{2x^{2}}})
derivative of 2sin^3(x)	\frac{d}{dx}(2\sin^{3}(x))
laplacetransform 18e^t	laplacetransform\:18e^{t}
(dx)/(dt)=xe^t+3e^t+x-3	\frac{dx}{dt}=xe^{t}+3e^{t}+x-3
area 15cos(x),15sin(x),[0, pi/2 ]	area\:15\cos(x),15\sin(x),[0,\frac{π}{2}]
integral of sin(2x)cos(5x)	\int\:\sin(2x)\cos(5x)dx
derivative of 4x*sin(x)	\frac{d}{dx}(4x\cdot\:\sin(x))
integral of-sin(3x)	\int\:-\sin(3x)dx
derivative of (6-x^{-1})	\frac{d}{dx}((6-x)^{-1})
integral of 1/(1+100x^2)	\int\:\frac{1}{1+100x^{2}}dx
y^{''}-4y^'-32y=0	y^{\prime\:\prime\:}-4y^{\prime\:}-32y=0
laplacetransform 2e^t+5	laplacetransform\:2e^{t}+5
integral from 0 to pi of sin^2(8x)	\int\:_{0}^{π}\sin^{2}(8x)dx
derivative of 0.882x^{0.842}	\frac{d}{dx}(0.882x^{0.842})
taylor (x+xcos(x)-2sin(x))/(x^3)	taylor\:\frac{x+x\cos(x)-2\sin(x)}{x^{3}}
derivative of (2x-5^4(8x^2-5)^{-3})	\frac{d}{dx}((2x-5)^{4}(8x^{2}-5)^{-3})
derivative of 2x^8	\frac{d}{dx}(2x^{8})
derivative of 21000(0.92)^{13}	derivative\:21000(0.92)^{13}
integral of (sec^2(x))/(tan(x))	\int\:\frac{\sec^{2}(x)}{\tan(x)}dx
derivative of f(x)=x^2-4x+3	derivative\:f(x)=x^{2}-4x+3
integral of ((sec(x))^2-csc(x)cot(x))	\int\:((\sec(x))^{2}-\csc(x)\cot(x))dx
integral of sin(x)*sin(3x)	\int\:\sin(x)\cdot\:\sin(3x)dx
integral of 2cos^2(2x)	\int\:2\cos^{2}(2x)dx
derivative of s(t)=4e^{-2t}sin(2pit)	derivative\:s(t)=4e^{-2t}\sin(2πt)
y^'=1-100(y-t)	y^{\prime\:}=1-100(y-t)
integral from 0 to infinity of 1/(x^2)	\int\:_{0}^{\infty\:}\frac{1}{x^{2}}dx
limit as x approaches-6 of (x^2-8)/(6-x)	\lim\:_{x\to\:-6}(\frac{x^{2}-8}{6-x})
(\partial)/(\partial x)(sin(-5x-2y+z))	\frac{\partial\:}{\partial\:x}(\sin(-5x-2y+z))
laplacetransform xe^{-x}	laplacetransform\:xe^{-x}
integral from 0 to pi/(21) of cos(7x)	\int\:_{0}^{\frac{π}{21}}\cos(7x)dx

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