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Popular Calculus Problems

limit as x approaches 10 of (3-4/5 x)+5	\lim\:_{x\to\:10}((3-\frac{4}{5}x)+5)
derivative of (arcsin(2x)^2)	\frac{d}{dx}((\arcsin(2x))^{2})
tangent of e^{-3t},\at t=0	tangent\:e^{-3t},\at\:t=0
derivative of-5cos(x)	\frac{d}{dx}(-5\cos(x))
simplify pi^2	simplify\:π^{2}
derivative of 36-x^2	\frac{d}{dx}(36-x^{2})
integral of ycsc^2(y)cot(y)	\int\:y\csc^{2}(y)\cot(y)dy
derivative of 2e^{3t}-e^{2t}	derivative\:2e^{3t}-e^{2t}
integral from e^x to 0 of sin^3(t)	\int\:_{e^{x}}^{0}\sin^{3}(t)dt
integral of (32)/(x(x^2+4)^2)	\int\:\frac{32}{x(x^{2}+4)^{2}}dx
area y=x^2,y=sqrt(x),0.25,1	area\:y=x^{2},y=\sqrt{x},0.25,1
derivative of (x^2-3x+8)/(x^2+9)	derivative\:\frac{x^{2}-3x+8}{x^{2}+9}
derivative of x^{4x}	derivative\:x^{4x}
inverse oflaplace 1/(s-1)+1/(s+3)	inverselaplace\:\frac{1}{s-1}+\frac{1}{s+3}
tangent of f(x)=x^3+x^2-x-3,\at x=-2	tangent\:f(x)=x^{3}+x^{2}-x-3,\at\:x=-2
tangent of 3x^2-4x+5	tangent\:3x^{2}-4x+5
tangent of f(x)=3sin(x)-3sqrt(3)cos(x)	tangent\:f(x)=3\sin(x)-3\sqrt{3}\cos(x)
derivative of 6+sec(x)sin(x)	derivative\:6+\sec(x)\sin(x)
derivative of 2x^2+2x	derivative\:2x^{2}+2x
sum from n=1 to infinity of (2^n)/(n+1)	\sum\:_{n=1}^{\infty\:}\frac{2^{n}}{n+1}
derivative of x/(x^{-1)+13}	derivative\:\frac{x}{x^{-1}+13}
integral of 6xsqrt(1+3x^2)	\int\:6x\sqrt{1+3x^{2}}dx
derivative of 7/(e^x)	\frac{d}{dx}(\frac{7}{e^{x}})
integral of (1+1/x)^{-2}(1/(x^2))	\int\:(1+\frac{1}{x})^{-2}(\frac{1}{x^{2}})dx
derivative of y=9x^3-x^2+5x-6	derivative\:y=9x^{3}-x^{2}+5x-6
integral of e^{0.02x}	\int\:e^{0.02x}dx
derivative of 4xln(x)	\frac{d}{dx}(4x\ln(x))
derivative of-cos(xln(sec(x)+tan(x)))	\frac{d}{dx}(-\cos(x)\ln(\sec(x)+\tan(x)))
area x^3-6x^2+9x+1,x=0.5,x=4	area\:x^{3}-6x^{2}+9x+1,x=0.5,x=4
tangent of f(x)=x^2+x,\at x=-4	tangent\:f(x)=x^{2}+x,\at\:x=-4
integral from 0 to 1 of e^x	\int\:_{0}^{1}e^{x}dx
maclaurin e^{x^2}	maclaurin\:e^{x^{2}}
derivative of 18(x^2+6)^8	derivative\:18(x^{2}+6)^{8}
integral of (x^2-7)/((x-2)(x+1))	\int\:\frac{x^{2}-7}{(x-2)(x+1)}dx
integral of (cot^2(x))/(sin^2(x))	\int\:\frac{\cot^{2}(x)}{\sin^{2}(x)}dx
derivative of cos(pit)	derivative\:\cos(πt)
integral from 1 to 3 of-x^2+4x-3	\int\:_{1}^{3}-x^{2}+4x-3dx
derivative of-e^{2x}	\frac{d}{dx}(-e^{2x})
derivative of 1-x/2+(x^2/9)	\frac{d}{dx}(1-\frac{x}{2}+\frac{x^{2}}{9})
derivative of ln(xe^{sqrt(x)}+3)	\frac{d}{dx}(\ln(xe^{\sqrt{x}}+3))
derivative of x^3(x^4-1)	\frac{d}{dx}(x^{3}(x^{4}-1))
tangent of f(x)=-3x^3-2x^2-1,\at-1	tangent\:f(x)=-3x^{3}-2x^{2}-1,\at\:-1
inverse oflaplace (s+3)/(s+1(s+2))	inverselaplace\:\frac{s+3}{s+1(s+2)}
integral of-2sin^2(t)	\int\:-2\sin^{2}(t)dt
(\partial)/(\partial x)(4374x^{1/3}+2y)	\frac{\partial\:}{\partial\:x}(4374x^{\frac{1}{3}}+2y)
limit as x approaches 1 of (e^x-1)/x	\lim\:_{x\to\:1}(\frac{e^{x}-1}{x})
(\partial)/(\partial z)(xln(y+z))	\frac{\partial\:}{\partial\:z}(x\ln(y+z))
inverse oflaplace {1/((s^2+1)(s^2+4))}	inverselaplace\:\left\{\frac{1}{(s^{2}+1)(s^{2}+4)}\right\}
limit as x approaches 0 of (sin(4x))/2	\lim\:_{x\to\:0}(\frac{\sin(4x)}{2})
integral of sqrt(x^2-10)	\int\:\sqrt{x^{2}-10}dx
limit as x approaches 0-of ((4-x)-0)/4	\lim\:_{x\to\:0-}(\frac{(4-x)-0}{4})
derivative of 2e^{2x}x	\frac{d}{dx}(2e^{2x}x)
integral of e^{3x+1}	\int\:e^{3x+1}dx
integral from 2 to 6 of 1/(x^2-1)	\int\:_{2}^{6}\frac{1}{x^{2}-1}dx
(\partial)/(\partial y)(e^{y^2})	\frac{\partial\:}{\partial\:y}(e^{y^{2}})
t*(dy)/(dt)=t^3+25t^3y	t\cdot\:\frac{dy}{dt}=t^{3}+25t^{3}y
derivative of (e^{x^2}/x)	\frac{d}{dx}(\frac{e^{x^{2}}}{x})
derivative of y= 2/(3sqrt(x^3))	derivative\:y=\frac{2}{3\sqrt{x^{3}}}
(dy)/(dt)=0.0572(400-y)	\frac{dy}{dt}=0.0572(400-y)
integral of (3ln(x+7))/(x^2)	\int\:\frac{3\ln(x+7)}{x^{2}}dx
derivative of 1/(3x^2+4x)	derivative\:\frac{1}{3x^{2}+4x}
(\partial)/(\partial x)((9xy^2)/(x^2+y^4))	\frac{\partial\:}{\partial\:x}(\frac{9xy^{2}}{x^{2}+y^{4}})
derivative of (4x^2+3x+2^5)	\frac{d}{dx}((4x^{2}+3x+2)^{5})
integral from 0 to 2 of (6x)/((1+x^2)^2)	\int\:_{0}^{2}\frac{6x}{(1+x^{2})^{2}}dx
(\partial)/(\partial y)(y-x^3)	\frac{\partial\:}{\partial\:y}(y-x^{3})
derivative of ((1-x)/x)	\frac{d}{dx}(\frac{(1-x)}{x})
y^{''}+6y^'+9y=t^{-2}e^{-3t}	y^{\prime\:\prime\:}+6y^{\prime\:}+9y=t^{-2}e^{-3t}
y^'= 3/((x+2)^2)	y^{\prime\:}=\frac{3}{(x+2)^{2}}
derivative of 7^{x+arccos(x)}	derivative\:7^{x+\arccos(x)}
integral from pi/5 to infinity of 5/x	\int\:_{\frac{π}{5}}^{\infty\:}\frac{5}{x}dx
f^'(x)= 3/x	f^{\prime\:}(x)=\frac{3}{x}
integral of 1/(1+ln(x))	\int\:\frac{1}{1+\ln(x)}dx
derivative of f(x)=sqrt(3x^3)	derivative\:f(x)=\sqrt{3x^{3}}
tangent of f(x)=x^5,\at x=-1	tangent\:f(x)=x^{5},\at\:x=-1
integral of x^2sqrt(x^3+39)	\int\:x^{2}\sqrt{x^{3}+39}dx
integral of x/((1-x)^2)	\int\:\frac{x}{(1-x)^{2}}dx
limit as x approaches 0 of (9x^2-8x)/x	\lim\:_{x\to\:0}(\frac{9x^{2}-8x}{x})
-y+y^'=x+e^2x	-y+y^{\prime\:}=x+e^{2}x
y^'+2/x y=x^2y^2	y^{\prime\:}+\frac{2}{x}y=x^{2}y^{2}
derivative of (cos(x)/(sqrt(x)))	\frac{d}{dx}(\frac{\cos(x)}{\sqrt{x}})
derivative of \sqrt[5]{x^2}-5/x	\frac{d}{dx}(\sqrt[5]{x^{2}}-\frac{5}{x})
integral of-3/(2t)	\int\:-\frac{3}{2t}dt
inverse oflaplace s/((s-3)(s+1))	inverselaplace\:\frac{s}{(s-3)(s+1)}
limit as x approaches infinity+of x^{-6}	\lim\:_{x\to\:\infty\:+}(x^{-6})
taylor 11sin(-x)	taylor\:11\sin(-x)
derivative of f(x)=(c^2-x^2)/(c^2+x^2)	derivative\:f(x)=\frac{c^{2}-x^{2}}{c^{2}+x^{2}}
derivative of (2x+5/(3x-2))	\frac{d}{dx}(\frac{2x+5}{3x-2})
derivative of 3x+2/x	\frac{d}{dx}(3x+\frac{2}{x})
(\partial)/(\partial x)(sin(-3x)cos(4y))	\frac{\partial\:}{\partial\:x}(\sin(-3x)\cos(4y))
derivative of x^3-6x^2+11x-6	\frac{d}{dx}(x^{3}-6x^{2}+11x-6)
integral of 1-y^2	\int\:1-y^{2}dy
area y=7\sqrt[3]{x},0<= x<= 27	area\:y=7\sqrt[3]{x},0\le\:x\le\:27
integral of 1/(f(f-u))	\int\:\frac{1}{f(f-u)}df
integral from 1 to 5 of (4x-4/x)	\int\:_{1}^{5}(4x-\frac{4}{x})dx
inverse oflaplace 2/(s^2+2s+3)	inverselaplace\:\frac{2}{s^{2}+2s+3}
inverse oflaplace (-1+3s^2)/(s*(s^2-1))	inverselaplace\:\frac{-1+3s^{2}}{s\cdot\:(s^{2}-1)}
integral of (x^3)/((1+5x^2)^3)	\int\:\frac{x^{3}}{(1+5x^{2})^{3}}dx
integral of 4x^2sqrt(3x^3+2)	\int\:4x^{2}\sqrt{3x^{3}+2}dx
derivative of (15x^6/(3x))	\frac{d}{dx}(\frac{15x^{6}}{3x})
sum from n=0 to infinity of 1/(n^{0.5)}	\sum\:_{n=0}^{\infty\:}\frac{1}{n^{0.5}}

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