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Popular Calculus Problems

derivative of x^3-3	derivative\:x^{3}-3
derivative of (1+cos^2(x))^5	derivative\:(1+\cos^{2}(x))^{5}
sum from n=0 to infinity of ((e^n))/5	\sum\:_{n=0}^{\infty\:}\frac{(e^{n})}{5}
derivative of-8x^3	\frac{d}{dx}(-8x^{3})
integral from 1/7 to 5 of 6xln(7x)	\int\:_{\frac{1}{7}}^{5}6x\ln(7x)dx
limit as x approaches pi/2 of x*sec(x)	\lim\:_{x\to\:\frac{π}{2}}(x\cdot\:\sec(x))
derivative of-(2x(-x^2+3)/((x^2+1)^3))	\frac{d}{dx}(-\frac{2x(-x^{2}+3)}{(x^{2}+1)^{3}})
limit as x approaches pi/2 of cot(x)	\lim\:_{x\to\:\frac{π}{2}}(\cot(x))
sum from n=5 to infinity of 1/(2^n)	\sum\:_{n=5}^{\infty\:}\frac{1}{2^{n}}
derivative of 7x^2ln(x)	\frac{d}{dx}(7x^{2}\ln(x))
f(x)=-arctan(x)	f(x)=-\arctan(x)
simplify x5^{2x}	simplify\:x5^{2x}
derivative of 1/(sqrt(1-sin^2(x)))	\frac{d}{dx}(\frac{1}{\sqrt{1-\sin^{2}(x)}})
derivative of (2t-1)(5t-5)^{-1}	derivative\:(2t-1)(5t-5)^{-1}
limit as x approaches 2 of 1/((x-2)^3)	\lim\:_{x\to\:2}(\frac{1}{(x-2)^{3}})
inverse oflaplace 4/((s-1)^3)	inverselaplace\:\frac{4}{(s-1)^{3}}
y^'=a-by^2	y^{\prime\:}=a-by^{2}
derivative of f(x)= 1/(sqrt(x+4))	derivative\:f(x)=\frac{1}{\sqrt{x+4}}
integral of (2x^2)/(1-6x^3)	\int\:\frac{2x^{2}}{1-6x^{3}}dx
(\partial)/(\partial y)(xy^3-x^2)	\frac{\partial\:}{\partial\:y}(xy^{3}-x^{2})
integral of (5x^4)/(x^5-3)	\int\:\frac{5x^{4}}{x^{5}-3}dx
area y=x^2-4,y=-2x	area\:y=x^{2}-4,y=-2x
derivative of e^{(x^3/3})	\frac{d}{dx}(e^{\frac{x^{3}}{3}})
integral of (tan^3(8/z))/(z^2)	\int\:\frac{\tan^{3}(\frac{8}{z})}{z^{2}}dz
integral of (x^2)/(x^2-4)	\int\:\frac{x^{2}}{x^{2}-4}dx
integral of 13sec^{-2}(xta)n^3x	\int\:13\sec^{-2}(xta)n^{3}xdx
derivative of ((e^x)/(ln(x)))	\frac{d}{dx}(\frac{(e^{x})}{\ln(x)})
tangent of cos(x),\at x= pi/2	tangent\:\cos(x),\at\:x=\frac{π}{2}
d/(d{r)}({r}sqrt(1-{r)^2})	\frac{d}{d{r}}({r}\sqrt{1-{r}^{2}})
integral of (y+1)/(y^2+y+1)	\int\:\frac{y+1}{y^{2}+y+1}dy
(\partial)/(\partial z)(xcos(y)sin(z))	\frac{\partial\:}{\partial\:z}(x\cos(y)\sin(z))
derivative of arcsec(5x)	derivative\:\arcsec(5x)
(\partial}{\partial L}(L^{1/4)/K ^{1/4})	\frac{\partial\:}{\partial\:L}(L^{\frac{1}{4}}{K}^{\frac{1}{4}})
area e^{(x/4)},x=4,y=1	area\:e^{(\frac{x}{4})},x=4,y=1
area x^2,-1<= x<= 2	area\:x^{2},-1\le\:x\le\:2
integral of 8t^3	\int\:8t^{3}dt
derivative of sqrt(1/x)	\frac{d}{dx}(\sqrt{\frac{1}{x}})
limit as x approaches 1+of (x^2)/(\|1-x\|)	\lim\:_{x\to\:1+}(\frac{x^{2}}{\left\|1-x\right\|})
integral from 0 to pi of cos(θ)	\int\:_{0}^{π}\cos(θ)dθ
d/(da)(a^5+a^2b^3-a^3b^2-b^5)	\frac{d}{da}(a^{5}+a^{2}b^{3}-a^{3}b^{2}-b^{5})
integral of 2/5 x^{5/2}	\int\:\frac{2}{5}x^{\frac{5}{2}}dx
(dx)/(dt)=4x-x^3	\frac{dx}{dt}=4x-x^{3}
integral from 0 to infinity of x^2e^{-2x}	\int\:_{0}^{\infty\:}x^{2}e^{-2x}dx
integral of (9x^2)/(sqrt(4x-x^2))	\int\:\frac{9x^{2}}{\sqrt{4x-x^{2}}}dx
tangent of f(x)=sqrt(3x+91),(3,10)	tangent\:f(x)=\sqrt{3x+91},(3,10)
integral of cos^5(x)sin^6(x)	\int\:\cos^{5}(x)\sin^{6}(x)dx
derivative of 2+ln(x)	\frac{d}{dx}(2+\ln(x))
derivative of ln(1+x^4)	\frac{d}{dx}(\ln(1+x^{4}))
integral from 4 to infinity of e^{-y/2}	\int\:_{4}^{\infty\:}e^{-\frac{y}{2}}dy
integral of (sin(5x)sin(x))	\int\:(\sin(5x)\sin(x))dx
integral of x/(2(x+1)sqrt(2x+1))	\int\:\frac{x}{2(x+1)\sqrt{2x+1}}dx
derivative of (x^3/3-3/(x^5)+4pi)	\frac{d}{dx}(\frac{x^{3}}{3}-\frac{3}{x^{5}}+4π)
(dy}{dx}=\frac{(4sqrt(y)log_{e}(x)))/x	\frac{dy}{dx}=\frac{(4\sqrt{y}\log_{e}(x))}{x}
tangent of-3cos(x),\at x= pi/2	tangent\:-3\cos(x),\at\:x=\frac{π}{2}
y^{''}-14y^'+49y=e^{8x}(x^2-9x-2)	y^{\prime\:\prime\:}-14y^{\prime\:}+49y=e^{8x}(x^{2}-9x-2)
y^'=1+e^{y-x+5}	y^{\prime\:}=1+e^{y-x+5}
integral of (x^2-4)^2(2x)	\int\:(x^{2}-4)^{2}(2x)dx
integral of 13sin^3(xco)s^2x	\int\:13\sin^{3}(xco)s^{2}xdx
integral of (arctan(sqrt(x)))/(sqrt(x))	\int\:\frac{\arctan(\sqrt{x})}{\sqrt{x}}dx
f(x)=tan^4(x^3)	f(x)=\tan^{4}(x^{3})
limit as x approaches 0 of 5/(x^2)	\lim\:_{x\to\:0}(\frac{5}{x^{2}})
derivative of ln(3x^3+6x^2+2x+6)	derivative\:\ln(3x^{3}+6x^{2}+2x+6)
xy^2y^'=x+9	xy^{2}y^{\prime\:}=x+9
integral of x^nsqrt(ax^{n+1)+b}	\int\:x^{n}\sqrt{ax^{n+1}+b}dx
inverse oflaplace (s^2-s+1)/((s+1)^2)	inverselaplace\:\frac{s^{2}-s+1}{(s+1)^{2}}
integral from 0 to 1 of 2pi(x+10)x^2	\int\:_{0}^{1}2π(x+10)x^{2}dx
derivative of ln\|x\|	derivative\:\ln\left\|x\right\|
(dx)/(dt)=x^2+1/36	\frac{dx}{dt}=x^{2}+\frac{1}{36}
derivative of sqrt(x)(x+1)	\frac{d}{dx}(\sqrt{x}(x+1))
derivative of ln(2xy+4)	\frac{d}{dx}(\ln(2xy+4))
integral of sec(t)(8sec(t)+7tan(t))	\int\:\sec(t)(8\sec(t)+7\tan(t))dt
derivative of (-8x-2/(9x-4))	\frac{d}{dx}(\frac{-8x-2}{9x-4})
inverse oflaplace e^{ax}	inverselaplace\:e^{ax}
f^'(x)=x-1	f^{\prime\:}(x)=x-1
y^{''}-5y^'=2t	y^{\prime\:\prime\:}-5y^{\prime\:}=2t
sum from n=4 to infinity of n!(x-4)^n	\sum\:_{n=4}^{\infty\:}n!(x-4)^{n}
t^2(dy)/(dt)+ty=3	t^{2}\frac{dy}{dt}+ty=3
d/(dt)(sqrt(5t)+(sqrt(7))/t)	\frac{d}{dt}(\sqrt{5t}+\frac{\sqrt{7}}{t})
integral of cos^3(t)-sin^2(t)cos(t)	\int\:\cos^{3}(t)-\sin^{2}(t)\cos(t)dt
derivative of y=x^2-5x-6	derivative\:y=x^{2}-5x-6
derivative of f(x)=((x+9))/(x^2-7x+1)	derivative\:f(x)=\frac{(x+9)}{x^{2}-7x+1}
derivative of g(x)= 7/(sqrt(x))	derivative\:g(x)=\frac{7}{\sqrt{x}}
integral of (4x^5)/(sqrt(1-12x^6))	\int\:\frac{4x^{5}}{\sqrt{1-12x^{6}}}dx
derivative of 12x^3-18x^2	derivative\:12x^{3}-18x^{2}
integral of 16ln(\sqrt[3]{x})	\int\:16\ln(\sqrt[3]{x})dx
(dy)/(dx)+2y=k	\frac{dy}{dx}+2y=k
tangent of f(x)=e^{x^2},\at x= 1/2	tangent\:f(x)=e^{x^{2}},\at\:x=\frac{1}{2}
integral of 1/p	\int\:\frac{1}{p}dp
integral of (4x^2-x+25)/(x^3+25x)	\int\:\frac{4x^{2}-x+25}{x^{3}+25x}dx
derivative of 1+1/x	derivative\:1+\frac{1}{x}
derivative of (2x-1/(2x+1))	\frac{d}{dx}(\frac{2x-1}{2x+1})
tangent of f(x)=9x^2+94,\at x=6	tangent\:f(x)=9x^{2}+94,\at\:x=6
(\partial)/(\partial x)(3/x-1-y)	\frac{\partial\:}{\partial\:x}(\frac{3}{x}-1-y)
area 4x+8,x^2+19x+62,[-9,-6]	area\:4x+8,x^{2}+19x+62,[-9,-6]
derivative of (8x-2x^2cos(y))	\frac{d}{dx}((8x-2x^{2})\cos(y))
derivative of y=(x^3+8)e^x	derivative\:y=(x^{3}+8)e^{x}
integral of (x^3+4)^4(3x^2)	\int\:(x^{3}+4)^{4}(3x^{2})dx
derivative of sqrt(x\sqrt{x)}	\frac{d}{dx}(\sqrt{x\sqrt{x}})
integral of 3	\int\:3dx
limit as x approaches 0-of e^{8/x}	\lim\:_{x\to\:0-}(e^{\frac{8}{x}})

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