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Problemas populares Cálculo

2y^{''}-5y^'-3y=0	2y^{\prime\:\prime\:}-5y^{\prime\:}-3y=0
integral de (in^2x)/x	\int\:\frac{in^{2}x}{x}dx
(\partial)/(\partial x)(3x^4y^2+1)	\frac{\partial\:}{\partial\:x}(3x^{4}y^{2}+1)
límite cuando x tiende a 2 de 2/((x-2)^2)	\lim\:_{x\to\:2}(\frac{2}{(x-2)^{2}})
(\partial)/(\partial y)(x^5+x^2y+x+1)	\frac{\partial\:}{\partial\:y}(x^{5}+x^{2}y+x+1)
(\partial)/(\partial α)(sin(α)cos(β))	\frac{\partial\:}{\partial\:α}(\sin(α)\cos(β))
d/(dy)(x/(x+y))	\frac{d}{dy}(\frac{x}{x+y})
tangent 8x-x^2(1.7)	tangent\:8x-x^{2}(1.7)
límite cuando x tiende a 0 de x/(-2x^5+15x)	\lim\:_{x\to\:0}(\frac{x}{-2x^{5}+15x})
integral de (1-x)e^x	\int\:(1-x)e^{x}dx
integral de 0 a 4 de (5-t)sqrt(t)	\int\:_{0}^{4}(5-t)\sqrt{t}dt
derivada de (sin(2x)^2)	\frac{d}{dx}((\sin(2x))^{2})
integral de-5 a 0 de \|x+3\|	\int\:_{-5}^{0}\left\|x+3\right\|dx
integral de 1 a 4 de (6/(x^2))	\int\:_{1}^{4}(\frac{6}{x^{2}})dx
y^'= t/y	y^{\prime\:}=\frac{t}{y}
área x+6,x^2	area\:x+6,x^{2}
derivada de (x^2/(1+8x))	\frac{d}{dx}(\frac{x^{2}}{1+8x})
inverselaplace s/(s^2-9)	inverselaplace\:\frac{s}{s^{2}-9}
integral de 0 a 1 de-e^{-x}	\int\:_{0}^{1}-e^{-x}dx
(dy)/(dx)=2x+3	\frac{dy}{dx}=2x+3
límite cuando x tiende a 0-de 2/(3x^{1/3)}	\lim\:_{x\to\:0-}(\frac{2}{3x^{\frac{1}{3}}})
integral de tan(4θ)	\int\:\tan(4θ)dθ
f(x)=4e^x	f(x)=4e^{x}
límite cuando x tiende a-infinity de \|x\|-3	\lim\:_{x\to\:-\infty\:}(\left\|x\right\|-3)
maclaurin (x+1)ln(x+1)	maclaurin\:(x+1)\ln(x+1)
tangent y=(4/(x+2)),\at x=2	tangent\:y=(\frac{4}{x+2}),\at\:x=2
integral de 6/7 sec^2(x/7)	\int\:\frac{6}{7}\sec^{2}(\frac{x}{7})dx
integral de (e^{3-x})/((1+e^{3-x))^2}	\int\:\frac{e^{3-x}}{(1+e^{3-x})^{2}}dx
límite cuando x tiende a 0-de x/(13x^4-6x)	\lim\:_{x\to\:0-}(\frac{x}{13x^{4}-6x})
(\partial)/(\partial y)(sqrt(xyz))	\frac{\partial\:}{\partial\:y}(\sqrt{xyz})
derivada de-9/((1+3x^2))	\frac{d}{dx}(-\frac{9}{(1+3x)^{2}})
área y=x^3-3x^2+3x,y=x	area\:y=x^{3}-3x^{2}+3x,y=x
derivada de x^2-7x+12	\frac{d}{dx}(x^{2}-7x+12)
derivada de (e^{x/2}/(x+1))	\frac{d}{dx}(\frac{e^{\frac{x}{2}}}{x+1})
integral de 1 a 4 de 6/(x^2)	\int\:_{1}^{4}\frac{6}{x^{2}}dx
derivative (x-1)^2e^x	derivative\:(x-1)^{2}e^{x}
derivada de (2x-1^2ln(2x-1))	\frac{d}{dx}((2x-1)^{2}\ln(2x-1))
derivative f(x)=(sqrt(x))(3x-2)	derivative\:f(x)=(\sqrt{x})(3x-2)
(dy)/(dt)=3y+y^6,y(0)=1	\frac{dy}{dt}=3y+y^{6},y(0)=1
laplacetransform sin(t-2pi)	laplacetransform\:\sin(t-2π)
(dy)/(dx)(x^2+4)=xy	\frac{dy}{dx}(x^{2}+4)=xy
y^{''}-y^'-72y=0	y^{\prime\:\prime\:}-y^{\prime\:}-72y=0
derivada de ce^{3x}	\frac{d}{dx}(ce^{3x})
integral de (x+8)	\int\:(x+8)dx
integral de sqrt(x)ln(2x)	\int\:\sqrt{x}\ln(2x)dx
inverselaplace (2/s-1/(s^3))^2	inverselaplace\:(\frac{2}{s}-\frac{1}{s^{3}})^{2}
área y=sqrt(x+3),y=((x+3))/2	area\:y=\sqrt{x+3},y=\frac{(x+3)}{2}
(1-x^3)(dy)/(dx)=3x^2y	(1-x^{3})\frac{dy}{dx}=3x^{2}y
(\partial)/(\partial x)(8y)	\frac{\partial\:}{\partial\:x}(8y)
integral de x(x^2+4)	\int\:x(x^{2}+4)dx
integral de 3x^2+5	\int\:3x^{2}+5dx
(dv}{dt}=\frac{49-10v)/5	\frac{dv}{dt}=\frac{49-10v}{5}
(dy)/(dx)=y(y-1)	\frac{dy}{dx}=y(y-1)
área y=x,y=3x,y=-x+4	area\:y=x,y=3x,y=-x+4
(y+sqrt(xy))dx=xdy	(y+\sqrt{xy})dx=xdy
(\partial)/(\partial x)(sqrt((2x)/(x^2+1)))	\frac{\partial\:}{\partial\:x}(\sqrt{\frac{2x}{x^{2}+1}})
tangent 12x^2+3x	tangent\:12x^{2}+3x
f(x)=4-5x^2	f(x)=4-5x^{2}
límite cuando x tiende a a de sqrt(x-a)+c	\lim\:_{x\to\:a}(\sqrt{x-a}+c)
serie de n=1 a infinity de 1/(5^n)	\sum\:_{n=1}^{\infty\:}\frac{1}{5^{n}}
1/x*(dy)/(dx)+2y-e^{-x^2}=0,y(1)= 2/e	\frac{1}{x}\cdot\:\frac{dy}{dx}+2y-e^{-x^{2}}=0,y(1)=\frac{2}{e}
(\partial)/(\partial x)(log_{e}(x))	\frac{\partial\:}{\partial\:x}(\log_{e}(x))
límite cuando x tiende a-2+de f(x)	\lim\:_{x\to\:-2+}(f(x))
integral de ae^{-ax}	\int\:ae^{-ax}dx
(x^3cos(x))^'	(x^{3}\cos(x))^{\prime\:}
integral de 1/(16x^4-8x^2+1)	\int\:\frac{1}{16x^{4}-8x^{2}+1}dx
serie de n=0 a infinity de (4n)/(8n+5)	\sum\:_{n=0}^{\infty\:}\frac{4n}{8n+5}
integral de 1 a 2 de (ln(x))/(x^3)	\int\:_{1}^{2}\frac{\ln(x)}{x^{3}}dx
integral de 1/((\frac{1){e^x}+1)}	\int\:\frac{1}{(\frac{1}{e^{x}}+1)}dx
normal y=x^2-5x,(5,0)	normal\:y=x^{2}-5x,(5,0)
(\partial)/(\partial z)(yz^2-ln(x+z))	\frac{\partial\:}{\partial\:z}(yz^{2}-\ln(x+z))
factor 3x^6-6x^6y^7+4x^5y^4	factor\:3x^{6}-6x^{6}y^{7}+4x^{5}y^{4}
integral de 1/((4x^2-1)^{3/2)}	\int\:\frac{1}{(4x^{2}-1)^{\frac{3}{2}}}dx
integral de 1 a 3 de 5xe^x	\int\:_{1}^{3}5xe^{x}dx
integral de sqrt(x^2-25)	\int\:\sqrt{x^{2}-25}dx
derivative f(x)=(x+1/(\sqrt[3]{x)})^2	derivative\:f(x)=(x+\frac{1}{\sqrt[3]{x}})^{2}
límite cuando x tiende a infinity de e^{-6x}cos(x)	\lim\:_{x\to\:\infty\:}(e^{-6x}\cos(x))
xy^2y^'=y^3-3x^3,y(1)=6	xy^{2}y^{\prime\:}=y^{3}-3x^{3},y(1)=6
área x=8y^2,x=2+6y^2	area\:x=8y^{2},x=2+6y^{2}
límite cuando x tiende a-infinity de 10^x	\lim\:_{x\to\:-\infty\:}(10^{x})
(\partial)/(\partial x)(x^{-3}y^2+xy^2+5xy)	\frac{\partial\:}{\partial\:x}(x^{-3}y^{2}+xy^{2}+5xy)
integral de 1/(x-a)	\int\:\frac{1}{x-a}dx
inverselaplace 8/((z^2+4)^2)	inverselaplace\:\frac{8}{(z^{2}+4)^{2}}
integral de (x^2+8x)cos(x)	\int\:(x^{2}+8x)\cos(x)dx
derivada de sqrt(x^4)	\frac{d}{dx}(\sqrt{x^{4}})
derivada de (-x^2+x(-2x^2+4x-1))	\frac{d}{dx}((-x^{2}+x)(-2x^{2}+4x-1))
derivative cos(x^2)(2x)	derivative\:\cos(x^{2})(2x)
serie de n=0 a infinity de (2n)/(e^n)	\sum\:_{n=0}^{\infty\:}\frac{2n}{e^{n}}
límite cuando x tiende a 0 de ((x^2+4x))/x	\lim\:_{x\to\:0}(\frac{(x^{2}+4x)}{x})
(3x^2+y-4)-(2y-x)y^'=0	(3x^{2}+y-4)-(2y-x)y^{\prime\:}=0
2y*(dy)/(dx)=-x^2	2y\cdot\:\frac{dy}{dx}=-x^{2}
pendiente (2,-3),(0,4)	slope\:(2,-3),(0,4)
límite cuando x tiende a 3+de 5/(3-x)	\lim\:_{x\to\:3+}(\frac{5}{3-x})
xy^'=2x^3e^{3x}+2y	xy^{\prime\:}=2x^{3}e^{3x}+2y
integral de ((x-8))/(x^2-7x+10)	\int\:\frac{(x-8)}{x^{2}-7x+10}dx
y^{''}+2y^'+y=2e^x	y^{\prime\:\prime\:}+2y^{\prime\:}+y=2e^{x}
(\partial)/(\partial y)(e^{-2x^2-y^2})	\frac{\partial\:}{\partial\:y}(e^{-2x^{2}-y^{2}})
límite cuando x tiende a-infinity de bx	\lim\:_{x\to\:-\infty\:}(bx)
derivada de ln(sec(x+tan(x)))	\frac{d}{dx}(\ln(\sec(x)+\tan(x)))
integral de 1200e^{0.3t}	\int\:1200e^{0.3t}dt

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