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Popular Calculus Problems

integral of (sin(θ))^3	\int\:(\sin(θ))^{3}dθ
derivative of 4sec(x)	derivative\:4\sec(x)
limit as x approaches-9-of 1/(x-9)	\lim\:_{x\to\:-9-}(\frac{1}{x-9})
limit as x approaches 0+of ln(0)	\lim\:_{x\to\:0+}(\ln(0))
derivative of y=6cos(x)	derivative\:y=6\cos(x)
derivative of 20(1-(x^2/(6400)))	\frac{d}{dx}(20(1-\frac{x^{2}}{6400}))
integral of 2x-1	\int\:2x-1dx
derivative of cos^2(x+cos(x))	\frac{d}{dx}(\cos^{2}(x)+\cos(x))
integral of ((x^{1/3}-4)^5)/(6x^{2/3)}	\int\:\frac{(x^{\frac{1}{3}}-4)^{5}}{6x^{\frac{2}{3}}}dx
y^{''}-3y^'+2y=1+e^x	y^{\prime\:\prime\:}-3y^{\prime\:}+2y=1+e^{x}
derivative of e^{2x}*2-e^x	\frac{d}{dx}(e^{2x}\cdot\:2-e^{x})
limit as x approaches infinity of 5x-10	\lim\:_{x\to\:\infty\:}(5x-10)
integral from-1 to 2 of 1/(x^3)	\int\:_{-1}^{2}\frac{1}{x^{3}}dx
integral of e^{(x/2)^2}	\int\:e^{(\frac{x}{2})^{2}}dx
x(dy)/(dx)-4y=x^6e^x	x\frac{dy}{dx}-4y=x^{6}e^{x}
limit as x approaches-2 of-3x^2-x-8	\lim\:_{x\to\:-2}(-3x^{2}-x-8)
integral from 1 to 2x of (t^2)/(t^2+1)	\int\:_{1}^{2x}\frac{t^{2}}{t^{2}+1}dt
limit as x approaches-infinity of 9e^{2x}-7e^{-14x}-e^x	\lim\:_{x\to\:-\infty\:}(9e^{2x}-7e^{-14x}-e^{x})
tangent of f(x)= 2/(4-x),\at x=-5	tangent\:f(x)=\frac{2}{4-x},\at\:x=-5
sum from n=1 to infinity of n/(5n^2-1)	\sum\:_{n=1}^{\infty\:}\frac{n}{5n^{2}-1}
(\partial)/(\partial x)(e^{5x+8y})	\frac{\partial\:}{\partial\:x}(e^{5x+8y})
derivative of 4e^xx^{3x}	\frac{d}{dx}(4e^{x}x^{3x})
integral from 1 to 10 of 2/(x^3)	\int\:_{1}^{10}\frac{2}{x^{3}}dx
derivative of 3/(2x+1)	\frac{d}{dx}(\frac{3}{2x+1})
sum from n=1 to infinity of ln(1/n)	\sum\:_{n=1}^{\infty\:}\ln(\frac{1}{n})
integral of 1/((x+1)*sqrt(x^2+2x))	\int\:\frac{1}{(x+1)\cdot\:\sqrt{x^{2}+2x}}dx
x^2(dy)/(dx)=y-xy	x^{2}\frac{dy}{dx}=y-xy
(\partial)/(\partial x)(e^{xyz^5})	\frac{\partial\:}{\partial\:x}(e^{xyz^{5}})
limit as x approaches 0 of sqrt(x^3-x)	\lim\:_{x\to\:0}(\sqrt{x^{3}-x})
derivative of 1/(1-e^x)	\frac{d}{dx}(\frac{1}{1-e^{x}})
limit as x approaches-1+of sqrt(x+1)	\lim\:_{x\to\:-1+}(\sqrt{x+1})
integral of 2x^1e^{-y}	\int\:2x^{1}e^{-y}
integral of (x+9)/(x^2+16)	\int\:\frac{x+9}{x^{2}+16}dx
integral of (6x^2-4x-25)/(x-2)	\int\:\frac{6x^{2}-4x-25}{x-2}dx
limit as h approaches 0 of ((1+h)-1)/h	\lim\:_{h\to\:0}(\frac{(1+h)-1}{h})
limit as x approaches-2 of x^2-3	\lim\:_{x\to\:-2}(x^{2}-3)
derivative of [x+(x+sin^2(x)^7]^3)	\frac{d}{dx}([x+(x+\sin^{2}(x))^{7}]^{3})
limit as x approaches 0 of 2^{-1/x}	\lim\:_{x\to\:0}(2^{-\frac{1}{x}})
(\partial)/(\partial y)(y+xcos(t))	\frac{\partial\:}{\partial\:y}(y+x\cos(t))
derivative of 1/(x^2+y^2+xe^{-y})	\frac{d}{dx}(\frac{1}{x^{2}+y^{2}}+xe^{-y})
derivative of 5x^3-4x^2-11	derivative\:5x^{3}-4x^{2}-11
limit as x approaches-3-of 1/(x+3)	\lim\:_{x\to\:-3-}(\frac{1}{x+3})
integral of 4/(sqrt(-4x^2-20x-9))	\int\:\frac{4}{\sqrt{-4x^{2}-20x-9}}dx
tangent of f(x)= 1/x ,(-1,-1)	tangent\:f(x)=\frac{1}{x},(-1,-1)
y^'-2y=x^2+5	y^{\prime\:}-2y=x^{2}+5
integral of 1/(x(x^7+1)^2)	\int\:\frac{1}{x(x^{7}+1)^{2}}dx
derivative of y=2x^5-3x*e^{-x}-10	derivative\:y=2\cdot\:x^{5}-3\cdot\:x\cdot\:e^{-x}-10
limit as x approaches 2 of (x-4)/(x^2-6)	\lim\:_{x\to\:2}(\frac{x-4}{x^{2}-6})
derivative of arctan(e^{x^2}+x^2)	\frac{d}{dx}(\arctan(e^{x^{2}}+x^{2}))
(\partial)/(\partial x)(1/(x-y))	\frac{\partial\:}{\partial\:x}(\frac{1}{x-y})
integral of 1/(ax+b)	\int\:\frac{1}{ax+b}dx
integral of sqrt(2x)og(2-x)x	\int\:\sqrt{2x}og(2-x)x
slope of (7-4)(70)	slope\:(7-4)(70)
integral of (x+5)*cos(x)	\int\:(x+5)\cdot\:\cos(x)dx
integral of sec^3(x)sin(x)	\int\:\sec^{3}(x)\sin(x)dx
y^{''}-4y^'=x-2	y^{\prime\:\prime\:}-4y^{\prime\:}=x-2
integral of (-3x^4+x^3+5-5e^x)	\int\:(-3x^{4}+x^{3}+5-5e^{x})dx
(\partial)/(\partial x)(sin(6x-3y))	\frac{\partial\:}{\partial\:x}(\sin(6x-3y))
derivative of y=5x^{-7}-8/x	derivative\:y=5x^{-7}-\frac{8}{x}
derivative of sin^2(4x)	derivative\:\sin^{2}(4x)
sum from n=1 to infinity of 4^nx^nn!	\sum\:_{n=1}^{\infty\:}4^{n}x^{n}n!
sum from n=1 to infinity of (ln(n))/n	\sum\:_{n=1}^{\infty\:}\frac{\ln(n)}{n}
integral of ((9x+14))/((x-2)(x^2+4))	\int\:\frac{(9x+14)}{(x-2)(x^{2}+4)}dx
integral of (2x+7)^3	\int\:(2x+7)^{3}dx
limit as x approaches-1 of (\|x-1\|)/(x-1)	\lim\:_{x\to\:-1}(\frac{\left\|x-1\right\|}{x-1})
sum from n=1 to infinity of 4/n-4/(n+1)	\sum\:_{n=1}^{\infty\:}\frac{4}{n}-\frac{4}{n+1}
integral of x^{1/12}	\int\:x^{\frac{1}{12}}dx
(\partial)/(\partial x)((2x)/(x^2-y^2))	\frac{\partial\:}{\partial\:x}(\frac{2x}{x^{2}-y^{2}})
integral from 4 to 7 of 1/(sqrt(x-4))	\int\:_{4}^{7}\frac{1}{\sqrt{x-4}}dx
f(x)=2x^2+3	f(x)=2x^{2}+3
derivative of y=e^{7/x}	derivative\:y=e^{\frac{7}{x}}
limit as x approaches 0 of x/(ln(1+x))	\lim\:_{x\to\:0}(\frac{x}{\ln(1+x)})
derivative of (cos(x)/(sin(x)+1))	\frac{d}{dx}(\frac{\cos(x)}{\sin(x)+1})
derivative of (sech(2x)^{sin(3x)})	\frac{d}{dx}((\sech(2x))^{\sin(3x)})
derivative of sqrt(x)*(x-1)	\frac{d}{dx}(\sqrt{x}\cdot\:(x-1))
derivative of ln((e^x-1/(e^x+1)))	\frac{d}{dx}(\ln(\frac{e^{x}-1}{e^{x}+1}))
limit as x approaches 7 of 1/(x-7)	\lim\:_{x\to\:7}(\frac{1}{x-7})
integral from-infinity to-1 of x^{-14/5}	\int\:_{-\infty\:}^{-1}x^{-\frac{14}{5}}dx
integral of sqrt(y)(2y^2-3)	\int\:\sqrt{y}(2y^{2}-3)dy
derivative of 4^{-2x}	\frac{d}{dx}(4^{-2x})
(d^2)/(dx^2)y+81y=0	\frac{d^{2}}{dx^{2}}y+81y=0
derivative of (1-cosh(x)/(1+cosh(x)))	\frac{d}{dx}(\frac{1-\cosh(x)}{1+\cosh(x)})
integral from 0 to 1 of x^2(x^3+1)^3	\int\:_{0}^{1}x^{2}(x^{3}+1)^{3}dx
derivative of (e^x^x)	\frac{d}{dx}((e^{x})^{x})
inverse oflaplace 1000*1/(s^2+1000s)	inverselaplace\:1000\cdot\:\frac{1}{s^{2}+1000s}
integral of (x^4)/4-(x^3)/3-(x^2)/2+x+C	\int\:\frac{x^{4}}{4}-\frac{x^{3}}{3}-\frac{x^{2}}{2}+x+Cdx
integral of sqrt(2)x^3	\int\:\sqrt{2}x^{3}dx
derivative of 3/(ln(x))	derivative\:\frac{3}{\ln(x)}
x^2y^{''}-xy^'-3y=0	x^{2}y^{\prime\:\prime\:}-xy^{\prime\:}-3y=0
(xdy)/(dx)= 1/(y^3)	\frac{xdy}{dx}=\frac{1}{y^{3}}
(dy)/(dx)=(4+3x)^4	\frac{dy}{dx}=(4+3x)^{4}
integral of e^{tx}*1/θ e^{-x/θ}	\int\:e^{tx}\cdot\:\frac{1}{θ}e^{-\frac{x}{θ}}dx
x^2y^{''}+2xy^'-6y=0	x^{2}y^{\prime\:\prime\:}+2xy^{\prime\:}-6y=0
limit as x approaches-2-of 1/((x+2)^5)	\lim\:_{x\to\:-2-}(\frac{1}{(x+2)^{5}})
integral of 1/(x^2)sqrt(4+1/x)	\int\:\frac{1}{x^{2}}\sqrt{4+\frac{1}{x}}dx
derivative of-2x^3(x^2+1)^{-2}	derivative\:-2x^{3}(x^{2}+1)^{-2}
derivative of x^2y-1	\frac{d}{dx}(x^{2}y-1)
tangent of y=3x^2+4x,(-2,4)	tangent\:y=3x^{2}+4x,(-2,4)
(\partial)/(\partial x)(2xy^7+x^8y^7)	\frac{\partial\:}{\partial\:x}(2xy^{7}+x^{8}y^{7})
derivative of f(x)=sqrt(x^2+9)	derivative\:f(x)=\sqrt{x^{2}+9}

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