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Popular Calculus Problems

derivative of (x^2+2x-23/(x-4))	\frac{d}{dx}(\frac{x^{2}+2x-23}{x-4})
derivative of y=9cos(x)	derivative\:y=9\cos(x)
derivative of x/(sqrt(x+2))	derivative\:\frac{x}{\sqrt{x+2}}
inverse oflaplace (e^{-spi})/(s^2+2s+2)	inverselaplace\:\frac{e^{-sπ}}{s^{2}+2s+2}
integral of 7csc(x)	\int\:7\csc(x)dx
derivative of 2x-6	\frac{d}{dx}(2x-6)
sum from n=1 to infinity of n/(9+n)	\sum\:_{n=1}^{\infty\:}\frac{n}{9+n}
derivative of (9e^{9x})/(8x+3)	derivative\:\frac{9e^{9x}}{8x+3}
integral of-x^2+8x	\int\:-x^{2}+8xdx
limit as x approaches 3 of-1/(x-3)	\lim\:_{x\to\:3}(-\frac{1}{x-3})
derivative of 50x-0.5x^2	\frac{d}{dx}(50x-0.5x^{2})
limit as x approaches-5-of (3x+8)/(x+5)	\lim\:_{x\to\:-5-}(\frac{3x+8}{x+5})
derivative of (cos(x)/(sin(x)))	\frac{d}{dx}(\frac{\cos(x)}{\sin(x)})
limit as x approaches infinity of x-x^2	\lim\:_{x\to\:\infty\:}(x-x^{2})
limit as x approaches 3 of sin(x-1)	\lim\:_{x\to\:3}(\sin(x-1))
integral of x^4e^x	\int\:x^{4}e^{x}dx
sum from n=0 to infinity of (x+4)^n	\sum\:_{n=0}^{\infty\:}(x+4)^{n}
tangent of sqrt(7x+4),\at a=3	tangent\:\sqrt{7x+4},\at\:a=3
d/(dθ)(ln(θ))	\frac{d}{dθ}(\ln(θ))
integral of 3/(x^2-x-2)	\int\:\frac{3}{x^{2}-x-2}dx
integral of ln(3x+4)	\int\:\ln(3x+4)dx
(dy)/(dx)=(y^2)/(x-1)	\frac{dy}{dx}=\frac{y^{2}}{x-1}
(\partial)/(\partial y)(x^2-3xy+y^2)	\frac{\partial\:}{\partial\:y}(x^{2}-3xy+y^{2})
derivative of f(x)=sqrt(2x^2-x)	derivative\:f(x)=\sqrt{2x^{2}-x}
integral of 1/(sqrt(t^2-2t+26))	\int\:\frac{1}{\sqrt{t^{2}-2t+26}}dt
y^'+y^2=0	y^{\prime\:}+y^{2}=0
integral from 1/2 to 5 of 12xln(2x)	\int\:_{\frac{1}{2}}^{5}12x\ln(2x)dx
slope of 3/x	slope\:\frac{3}{x}
limit as x approaches 1 of 1/x+1	\lim\:_{x\to\:1}(\frac{1}{x}+1)
y^{''}+9y=26e^{2x}	y^{\prime\:\prime\:}+9y=26e^{2x}
integral from 0 to 5 of pi(2sqrt(3y))^2	\int\:_{0}^{5}π(2\sqrt{3y})^{2}dy
inverse oflaplace (2s)/(1+2s)	inverselaplace\:\frac{2s}{1+2s}
integral of (x^4+2)/(x^2)	\int\:\frac{x^{4}+2}{x^{2}}dx
tangent of f(x)=sqrt(x-3),(7,2)	tangent\:f(x)=\sqrt{x-3},(7,2)
derivative of-(6x/y)	\frac{d}{dx}(-\frac{6x}{y})
derivative of 9/(sqrt(x))	derivative\:\frac{9}{\sqrt{x}}
limit as x approaches-1 of 1/((x+1)^2)	\lim\:_{x\to\:-1}(\frac{1}{(x+1)^{2}})
integral of x^210^{x^3}	\int\:x^{2}10^{x^{3}}dx
sum from n=0 to infinity of (n7^n)/(n!)	\sum\:_{n=0}^{\infty\:}\frac{n7^{n}}{n!}
integral from 0 to infinity of 5e^{-5x}	\int\:_{0}^{\infty\:}5e^{-5x}dx
derivative of 4x^3-3sqrt(1+2x)	\frac{d}{dx}(4x^{3}-3\sqrt{1+2x})
implicit (dy)/(dx),y=x^2	implicit\:\frac{dy}{dx},y=x^{2}
f(t)=e^{2t}	f(t)=e^{2t}
integral of t^3*sqrt(9t^4+1)	\int\:t^{3}\cdot\:\sqrt{9t^{4}+1}dt
integral from 1 to t of 9/(x^3)	\int\:_{1}^{t}\frac{9}{x^{3}}dx
derivative of (5x/((x^2+1)^{3/5)})	\frac{d}{dx}(\frac{5x}{(x^{2}+1)^{\frac{3}{5}}})
(\partial)/(\partial x)(sin(4x+4y))	\frac{\partial\:}{\partial\:x}(\sin(4x+4y))
derivative of (1-x^2^5)	\frac{d}{dx}((1-x^{2})^{5})
derivative of f(x)=csc(x^2)	derivative\:f(x)=\csc(x^{2})
integral of (-y)/(1+y^2)	\int\:\frac{-y}{1+y^{2}}dy
integral from 0 to 2 of 1/(sqrt(4-x^2))	\int\:_{0}^{2}\frac{1}{\sqrt{4-x^{2}}}dx
(e^y+6x)dx+xe^ydy=0	(e^{y}+6x)dx+xe^{y}dy=0
limit as x approaches 1/2 of 4x^2-8x+5	\lim\:_{x\to\:\frac{1}{2}}(4x^{2}-8x+5)
integral of 2/(sqrt(1-(2x)^2))	\int\:\frac{2}{\sqrt{1-(2x)^{2}}}dx
derivative of y=5x^8e^x	derivative\:y=5x^{8}e^{x}
integral of (2x+3x^{1/2})x^{1/3}	\int\:(2x+3x^{\frac{1}{2}})x^{\frac{1}{3}}dx
sqrt(1-8x^2)y^'=x	\sqrt{1-8x^{2}}y^{\prime\:}=x
integral of sin(x)+c	\int\:\sin(x)+cdx
inverse oflaplace 1/((s+1)((s+2)^2+2))	inverselaplace\:\frac{1}{(s+1)((s+2)^{2}+2)}
derivative of 5x-sin^2(4x)	\frac{d}{dx}(5x-\sin^{2}(4x))
(dy)/(dx)=1+x+y+xy	\frac{dy}{dx}=1+x+y+xy
derivative of (-4x^2+25^2)	\frac{d}{dx}((-4x^{2}+25)^{2})
slope ofintercept (-1,1),(5,-1)	slopeintercept\:(-1,1),(5,-1)
derivative of e^{{g}(x})	\frac{d}{dx}(e^{{g}(x)})
(d^2)/(dx^2)(sin(x))	\frac{d^{2}}{dx^{2}}(\sin(x))
limit as x approaches 0 of (6x)/(x^4)	\lim\:_{x\to\:0}(\frac{6x}{x^{4}})
limit as x approaches pi+of pi/(sin(pi))	\lim\:_{x\to\:π+}(\frac{π}{\sin(π)})
integral of-cos(x)+Cx+C	\int\:-\cos(x)+Cx+Cdx
derivative of f(x)=4x-5	derivative\:f(x)=4x-5
derivative of (9-xe^x/(x+e^x))	\frac{d}{dx}(\frac{9-xe^{x}}{x+e^{x}})
derivative of (x^2)/8	derivative\:\frac{x^{2}}{8}
integral from-1 to 1 of sqrt(\|x\|-x)	\int\:_{-1}^{1}\sqrt{\left\|x\right\|-x}dx
integral from 1 to 16 of 1/(7-sqrt(x))	\int\:_{1}^{16}\frac{1}{7-\sqrt{x}}dx
limit as x approaches-2+of (-3)/(x^2-4)	\lim\:_{x\to\:-2+}(\frac{-3}{x^{2}-4})
integral of (2x)/(x^2+9)	\int\:\frac{2x}{x^{2}+9}dx
(2x)dx+(2-3x^2y^{-1})dy=0	(2x)dx+(2-3x^{2}y^{-1})dy=0
integral of 4e^x(e^x-1)	\int\:4e^{x}(e^{x}-1)dx
derivative of (2x^9-5x+sqrt(x))/(x^4)	derivative\:\frac{2x^{9}-5x+\sqrt{x}}{x^{4}}
limit as x approaches 1+of 1/(x-1)	\lim\:_{x\to\:1+}(\frac{1}{x-1})
(e^{2x}+4)((dy)/(dx))=y	(e^{2x}+4)(\frac{dy}{dx})=y
derivative of 2x-ln(x)	\frac{d}{dx}(2x-\ln(x))
y^'=-ky	y^{\prime\:}=-ky
integral of (\sqrt[3]{y})^2	\int\:(\sqrt[3]{y})^{2}dy
derivative of arctan(x/5)	derivative\:\arctan(\frac{x}{5})
integral from-1 to 0 of 1/(x^3)	\int\:_{-1}^{0}\frac{1}{x^{3}}dx
derivative of (1/(x^2-6/(x^4))(x+8x^3))	\frac{d}{dx}((\frac{1}{x^{2}}-\frac{6}{x^{4}})(x+8x^{3}))
limit as x approaches 1 of 0/(x^2-1)	\lim\:_{x\to\:1}(\frac{0}{x^{2}-1})
integral of (18x+5)	\int\:(18x+5)dx
integral of 2e^{3x}	\int\:2e^{3x}dx
3x*(dy)/(dx)-y=sqrt(x)	3x\cdot\:\frac{dy}{dx}-y=\sqrt{x}
derivative of e^x 1/x	\frac{d}{dx}(e^{x}\frac{1}{x})
(\partial)/(\partial x)(ln(2x+1))	\frac{\partial\:}{\partial\:x}(\ln(2x+1))
laplacetransform (e^t-e^{-t})^2	laplacetransform\:(e^{t}-e^{-t})^{2}
integral of 512x^2cos(8x)	\int\:512x^{2}\cos(8x)dx
derivative of ln((sin(x)/x))	\frac{d}{dx}(\ln(\frac{\sin(x)}{x}))
area y=4ln(x),y=xln(x)	area\:y=4\ln(x),y=x\ln(x)
limit as x approaches 4 of e^{3/(4-x)}	\lim\:_{x\to\:4}(e^{\frac{3}{4-x}})
(\partial)/(\partial x)(x^2-3xy+y^2)	\frac{\partial\:}{\partial\:x}(x^{2}-3xy+y^{2})
integral of 3sin(ln(x))	\int\:3\sin(\ln(x))dx
integral from 0 to x of e^t	\int\:_{0}^{x}e^{t}dt

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