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Popular Calculus Problems

integral of (5x+3)/(x^2-9)	\int\:\frac{5x+3}{x^{2}-9}dx
integral of x^3sin(6x)	\int\:x^{3}\sin(6x)dx
tangent of f(x)=x^2-1/x	tangent\:f(x)=x^{2}-\frac{1}{x}
derivative of 1-1/(1+x)	\frac{d}{dx}(1-\frac{1}{1+x})
(\partial)/(\partial x)((4x-4z)/(3y+4z))	\frac{\partial\:}{\partial\:x}(\frac{4x-4z}{3y+4z})
integral of cos^2(1/2)x	\int\:\cos^{2}(\frac{1}{2})xdx
inverse oflaplace (3s)/((s-1)(s^2-4))	inverselaplace\:\frac{3s}{(s-1)(s^{2}-4)}
integral of ((6x-7))/(3x^2-7x+11)	\int\:\frac{(6x-7)}{3x^{2}-7x+11}dx
slope of (2,-3),(-1,15)	slope\:(2,-3),(-1,15)
(\partial)/(\partial x)(x^5+3x^3y^2+3xy^4)	\frac{\partial\:}{\partial\:x}(x^{5}+3x^{3}y^{2}+3xy^{4})
limit as x approaches 1 of (x^2)/(x-1)	\lim\:_{x\to\:1}(\frac{x^{2}}{x-1})
(\partial)/(\partial y)(xy^2+x^2y)	\frac{\partial\:}{\partial\:y}(xy^{2}+x^{2}y)
(\partial)/(\partial x)(x^2y-x^3)	\frac{\partial\:}{\partial\:x}(x^{2}y-x^{3})
(d^2y)/(dx^2)=3	\frac{d^{2}y}{dx^{2}}=3
(\partial)/(\partial x)(sqrt(2x+4y))	\frac{\partial\:}{\partial\:x}(\sqrt{2x+4y})
derivative of 2x*e^x	\frac{d}{dx}(2x\cdot\:e^{x})
integral of 1/(4sin(x))	\int\:\frac{1}{4\sin(x)}dx
limit as x approaches 0 of log_{2/3}(x)	\lim\:_{x\to\:0}(\log_{\frac{2}{3}}(x))
(\partial)/(\partial x)(5e^{xy+6})	\frac{\partial\:}{\partial\:x}(5e^{xy+6})
y^{''}+2y^'+y=6e^{-t}	y^{\prime\:\prime\:}+2y^{\prime\:}+y=6e^{-t}
integral of 1/4 e^{-2x}	\int\:\frac{1}{4}e^{-2x}dx
derivative of f(x)=4x^2-5x+2	derivative\:f(x)=4x^{2}-5x+2
taylor ln(2/(2-x))	taylor\:\ln(\frac{2}{2-x})
derivative of x^2e^{-1/x}	\frac{d}{dx}(x^{2}e^{-\frac{1}{x}})
maclaurin 1/(1+x^2),x=2	maclaurin\:\frac{1}{1+x^{2}},x=2
limit as x approaches-9-of (x+10)/(x+9)	\lim\:_{x\to\:-9-}(\frac{x+10}{x+9})
(\partial)/(\partial x)(x^ny 1/(x^2+y^2))	\frac{\partial\:}{\partial\:x}(x^{n}y\frac{1}{x^{2}+y^{2}})
integral of (1-x^3)^2	\int\:(1-x^{3})^{2}dx
derivative of-4e^x-sin(x-9)	\frac{d}{dx}(-4e^{x}-\sin(x)-9)
integral of pi^2	\int\:π^{2}
integral of 4sin^2(x)cos^2(x)	\int\:4\sin^{2}(x)\cos^{2}(x)dx
integral of (2x+1)/(x^2-1)	\int\:\frac{2x+1}{x^{2}-1}dx
integral of csc^3(x	\int\:\csc^{3}(d)xdx
integral of (26)/((1-x^2)^{3/2)}	\int\:\frac{26}{(1-x^{2})^{\frac{3}{2}}}dx
(\partial)/(\partial y)(sin(xy^2+y)+2e^x)	\frac{\partial\:}{\partial\:y}(\sin(xy^{2}+y)+2e^{x})
derivative of e^{3x}y	\frac{d}{dx}(e^{3x}y)
tangent of f(x)=xe^{-x},\at x=2	tangent\:f(x)=xe^{-x},\at\:x=2
inverse oflaplace ((s+1))/(s+2)	inverselaplace\:\frac{(s+1)}{s+2}
tangent of y=3sec(x)	tangent\:y=3\sec(x)
derivative of uv	\frac{d}{dx}(uv)
area y=8-x^2,y=x^2	area\:y=8-x^{2},y=x^{2}
y^{''}+3y^'=12	y^{\prime\:\prime\:}+3y^{\prime\:}=12
integral of (e^{5x})/(e^{5x)+3}	\int\:\frac{e^{5x}}{e^{5x}+3}dx
x(dy)/(dx)-3y=0	x\frac{dy}{dx}-3y=0
limit as x approaches 4+of (x-4)/(4x-4)	\lim\:_{x\to\:4+}(\frac{x-4}{4x-4})
integral of (t^4)/(sqrt(1-t^{10))}	\int\:\frac{t^{4}}{\sqrt{1-t^{10}}}dt
integral of x^5*sin(x)	\int\:x^{5}\cdot\:\sin(x)dx
maclaurin ln(1-2y)	maclaurin\:\ln(1-2y)
derivative of 2log_{10}(x)	\frac{d}{dx}(2\log_{10}(x))
integral from 1 to 2 of (4x^{3/2})	\int\:_{1}^{2}(4x^{\frac{3}{2}})dx
derivative of \sqrt[4]{x^3-x+3}	\frac{d}{dx}(\sqrt[4]{x^{3}-x+3})
(\partial)/(\partial x)(8x^{6y})	\frac{\partial\:}{\partial\:x}(8x^{6y})
(\partial)/(\partial x)(20)	\frac{\partial\:}{\partial\:x}(20)
(\partial)/(\partial y)(1/4 x^2+y^2-1)	\frac{\partial\:}{\partial\:y}(\frac{1}{4}x^{2}+y^{2}-1)
derivative of g(x)=x^2+sin(x)	derivative\:g(x)=x^{2}+\sin(x)
integral of 200-20x-3x^2	\int\:200-20x-3x^{2}dx
(\partial)/(\partial x)(x^2y+3y^2-y)	\frac{\partial\:}{\partial\:x}(x^{2}y+3y^{2}-y)
((e^{4x^2})/(x^2))^'	(\frac{e^{4x^{2}}}{x^{2}})^{\prime\:}
integral of ((7x^9-20x^6))/(x^3)	\int\:\frac{(7x^{9}-20x^{6})}{x^{3}}dx
integral of (tan(x)+1/(tan(x)))^2	\int\:(\tan(x)+\frac{1}{\tan(x)})^{2}dx
x^2y^{''}-2y=sin(ln(x))	x^{2}y^{\prime\:\prime\:}-2y=\sin(\ln(x))
limit as x approaches-2 of 2x	\lim\:_{x\to\:-2}(2x)
integral of 1/(5x^7)	\int\:\frac{1}{5x^{7}}dx
maclaurin (arctan(x))/(x+1)	maclaurin\:\frac{\arctan(x)}{x+1}
(\partial)/(\partial y)(y-cos(y))	\frac{\partial\:}{\partial\:y}(y-\cos(y))
derivative of f(x)=(x+2)^x	derivative\:f(x)=(x+2)^{x}
integral of sqrt(9+8x-x^2)	\int\:\sqrt{9+8x-x^{2}}dx
limit as x approaches 2 of 3x+5	\lim\:_{x\to\:2}(3x+5)
integral of cos^5(3x)sin^4(3x)	\int\:\cos^{5}(3x)\sin^{4}(3x)dx
integral from 1 to 2 of w^2ln(w)	\int\:_{1}^{2}w^{2}\ln(w)dw
derivative of 2sin(pix-y)	\frac{d}{dx}(2\sin(πx-y))
area 2/x ,-3x+7,-2x+4	area\:\frac{2}{x},-3x+7,-2x+4
derivative of ln(ln(10x))	\frac{d}{dx}(\ln(\ln(10x)))
y^'+(4/x)y=x^4	y^{\prime\:}+(\frac{4}{x})y=x^{4}
limit as x approaches-2 of tan((pix)/4)	\lim\:_{x\to\:-2}(\tan(\frac{πx}{4}))
derivative of (ln(x)/(ln(x)+2))	\frac{d}{dx}(\frac{\ln(x)}{\ln(x)+2})
derivative of 5x^4-2x^3-x^2	\frac{d}{dx}(5x^{4}-2x^{3}-x^{2})
integral of sqrt(3x)	\int\:\sqrt{3x}dx
(\partial)/(\partial φ)(sin(θ)cos(φ))	\frac{\partial\:}{\partial\:φ}(\sin(θ)\cos(φ))
integral of sqrt(1+16x^2)	\int\:\sqrt{1+16x^{2}}dx
(x+1)y^'+y=x	(x+1)y^{\prime\:}+y=x
limit as x approaches-3 of 5	\lim\:_{x\to\:-3}(5)
derivative of (1+x^2(1+sqrt(x)))	\frac{d}{dx}((1+x^{2})(1+\sqrt{x}))
limit as x approaches-1 of (4x+3)/(2x+1)	\lim\:_{x\to\:-1}(\frac{4x+3}{2x+1})
integral of 10e^{x/(20)}	\int\:10e^{\frac{x}{20}}dx
integral of (1-2y)/y	\int\:\frac{1-2y}{y}dy
inverse oflaplace (s+1)/((s+1)^2+5)	inverselaplace\:\frac{s+1}{(s+1)^{2}+5}
derivative of 6sin(x-6xcos(x))	\frac{d}{dx}(6\sin(x)-6x\cos(x))
y^'+xy^{''}=0	y^{\prime\:}+xy^{\prime\:\prime\:}=0
integral of cos^2(nx)	\int\:\cos^{2}(nx)dx
integral from 0 to 1 of (x^2+7)e^{-x}	\int\:_{0}^{1}(x^{2}+7)e^{-x}dx
16y^{''}+16y^'-5y=0	16y^{\prime\:\prime\:}+16y^{\prime\:}-5y=0
derivative of f(x)=sqrt(2x)	derivative\:f(x)=\sqrt{2x}
integral of (x+8)/(x^2+25)	\int\:\frac{x+8}{x^{2}+25}dx
derivative of x^2e^{x^2}	\frac{d}{dx}(x^{2}e^{x^{2}})
derivative of x^2ln(4x)	\frac{d}{dx}(x^{2}\ln(4x))
integral of (4+x)/(sqrt(16-x^2))	\int\:\frac{4+x}{\sqrt{16-x^{2}}}dx
integral of 1/(2+x)	\int\:\frac{1}{2+x}dx
t^2y^{''}+ty^'+25y=0	t^{2}y^{\prime\:\prime\:}+ty^{\prime\:}+25y=0
(dy)/(dx)=3x	\frac{dy}{dx}=3x

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