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Problemas populares Cálculo

y^{''}-10y^'+25=0	y^{\prime\:\prime\:}-10y^{\prime\:}+25=0
derivada de ((cos(x)/(1+sin(x)))^5)	\frac{d}{dx}((\frac{\cos(x)}{1+\sin(x)})^{5})
integral de (x^3+2x^2+3x-2)/(x-2)	\int\:\frac{x^{3}+2x^{2}+3x-2}{x-2}dx
taylor x^{11/2},1,x=1.4	taylor\:x^{\frac{11}{2}},1,x=1.4
integral de 2/x-4/(x^3)	\int\:\frac{2}{x}-\frac{4}{x^{3}}dx
integral de (4e^x)/(e^{2x)+8e^x+16}	\int\:\frac{4e^{x}}{e^{2x}+8e^{x}+16}dx
(\partial)/(\partial x)(-xe^{x/y})	\frac{\partial\:}{\partial\:x}(-xe^{\frac{x}{y}})
límite cuando x tiende a 2 de sqrt(13-2x)	\lim\:_{x\to\:2}(\sqrt{13-2x})
límite cuando x tiende a 0 de 8x+4h-3	\lim\:_{x\to\:0}(8x+4h-3)
derivada de sqrt(1-(x^2/4))	\frac{d}{dx}(\sqrt{1-\frac{x^{2}}{4}})
(\partial)/(\partial v)(vsin(u))	\frac{\partial\:}{\partial\:v}(v\sin(u))
integral de 0 a 1 de 6/(sqrt(x)(x+1))	\int\:_{0}^{1}\frac{6}{\sqrt{x}(x+1)}dx
integral de 4x^5	\int\:4x^{5}dx
integral de (7sec(x)tan(x)+5sec^2(x))	\int\:(7\sec(x)\tan(x)+5\sec^{2}(x))dx
integral de x^2sqrt(x^3+10)	\int\:x^{2}\sqrt{x^{3}+10}dx
(\partial)/(\partial x)(3ye^{8x})	\frac{\partial\:}{\partial\:x}(3ye^{8x})
(\partial)/(\partial x)(2x-8y+8xy)	\frac{\partial\:}{\partial\:x}(2x-8y+8xy)
x^4+5y^4(sqrt(x^5+4)dy)/(dx)=0	x^{4}+5y^{4}\frac{\sqrt{x^{5}+4}dy}{dx}=0
pendiente (7,2),(-11,-13)	slope\:(7,2),(-11,-13)
integral de 1/(36e^{-2x)+e^{2x}}	\int\:\frac{1}{36e^{-2x}+e^{2x}}dx
límite cuando x tiende a infinity de 1/(sqrt(x^2+17x)-\sqrt{x^2+5x)}	\lim\:_{x\to\:\infty\:}(\frac{1}{\sqrt{x^{2}+17x}-\sqrt{x^{2}+5x}})
(dy)/(dt)=-y	\frac{dy}{dt}=-y
(\partial)/(\partial x)(cos(2x)*2)	\frac{\partial\:}{\partial\:x}(\cos(2x)\cdot\:2)
integral de 0.06q-0.6-(7700)/(q^2)	\int\:0.06q-0.6-\frac{7700}{q^{2}}dq
derivada de ((2x+11^{3/2})/3)	\frac{d}{dx}(\frac{(2x+11)^{\frac{3}{2}}}{3})
límite cuando x tiende a+2 de sqrt(3x-6)	\lim\:_{x\to\:+2}(\sqrt{3x-6})
integral de (\sqrt[3]{x}-(10)/(x-5)+e^x)	\int\:(\sqrt[3]{x}-\frac{10}{x-5}+e^{x})dx
integral de sin^4(2x)cos(2x)	\int\:\sin^{4}(2x)\cos(2x)dx
(\partial)/(\partial x)(Ax+by^2+cx^2y)	\frac{\partial\:}{\partial\:x}(Ax+by^{2}+cx^{2}y)
tangent f(x)=4x^2+4x,(-2,8)	tangent\:f(x)=4x^{2}+4x,(-2,8)
integral de-8sqrt(x)e^{sqrt(x)}	\int\:-8\sqrt{x}e^{\sqrt{x}}dx
integral de sin(x)sin(2x)sin(3x)	\int\:\sin(x)\cdot\:\sin(2x)\cdot\:\sin(3x)dx
integral de x/(x-17)	\int\:\frac{x}{x-17}dx
integral de (2-x)^{-2/3}	\int\:(2-x)^{-\frac{2}{3}}dx
(1+x^5)y^'+5x^4y=13x^4,y(0)=2	(1+x^{5})y^{\prime\:}+5x^{4}y=13x^{4},y(0)=2
integral de 9sin^3(xco)s^7x	\int\:9\sin^{3}(xco)s^{7}xdx
(\partial)/(\partial x)(3xln(4y+1))	\frac{\partial\:}{\partial\:x}(3x\ln(4y+1))
(\partial)/(\partial y)(cos(8x)sin(4y))	\frac{\partial\:}{\partial\:y}(\cos(8x)\sin(4y))
e^{-12t}f+12e^{-12t}f^'=-4e^{-14t}	e^{-12t}f+12e^{-12t}f^{\prime\:}=-4e^{-14t}
6y^{''}+18y^'-24y=0	6y^{\prime\:\prime\:}+18y^{\prime\:}-24y=0
área y= 1/(4x^2),y=x,y= x/(16)	area\:y=\frac{1}{4x^{2}},y=x,y=\frac{x}{16}
serie de n=1 a infinity de 6/n-6/(n+1)	\sum\:_{n=1}^{\infty\:}\frac{6}{n}-\frac{6}{n+1}
4y^{''}-y=0	4y^{\prime\:\prime\:}-y=0
tangent y= 1/2 x^2+9x	tangent\:y=\frac{1}{2}x^{2}+9x
derivada de (x^2+1^{-1})	\frac{d}{dx}((x^{2}+1)^{-1})
integral de tcos(2t)	\int\:t\cos(2t)dt
integral de (x(x^2-1))/(x^2+1)	\int\:\frac{x(x^{2}-1)}{x^{2}+1}dx
(x+y-3)dx+(x+y+4)dy=0	(x+y-3)dx+(x+y+4)dy=0
serie de n=0 a infinity de-1^{n+1}	\sum\:_{n=0}^{\infty\:}-1^{n+1}
(dy)/(dx)=(x+2)/(e^{y-1)}	\frac{dy}{dx}=\frac{x+2}{e^{y-1}}
derivada de 4(e^xcos(x-e^xsin(x)))	\frac{d}{dx}(4(e^{x}\cos(x)-e^{x}\sin(x)))
integral de (x^2)/((9-x^3)^2)	\int\:\frac{x^{2}}{(9-x^{3})^{2}}dx
integral de e^{\sqrt[3]{x}}	\int\:e^{\sqrt[3]{x}}dx
integral de 0 a 5 de sqrt(1+x^2)	\int\:_{0}^{5}\sqrt{1+x^{2}}dx
d/(dn)(cos(nm^3))	\frac{d}{dn}(\cos(nm^{3}))
derivada de \sqrt[3]{x^2-x^3}	\frac{d}{dx}(\sqrt[3]{x^{2}-x^{3}})
integral de 0 a 1 de 2pi(2-y)(8-8y^2)	\int\:_{0}^{1}2π(2-y)(8-8y^{2})dy
integral de (e^{2x})/(e^x)	\int\:\frac{e^{2x}}{e^{x}}dx
slopeintercept (0,-9),(7,-8)	slopeintercept\:(0,-9),(7,-8)
límite cuando x tiende a 4 de x^2-3x+2	\lim\:_{x\to\:4}(x^{2}-3x+2)
límite cuando x tiende a 0 de 6x	\lim\:_{x\to\:0}(6x)
derivative tan(e^{9t})+e^{tan(9t)}	derivative\:\tan(e^{9t})+e^{\tan(9t)}
integral de tsec^2(7t)	\int\:t\sec^{2}(7t)dt
integral de (3w-2)/(3w^2-4w+1)	\int\:\frac{3w-2}{3w^{2}-4w+1}dw
derivada de x^2-8x+9	\frac{d}{dx}(x^{2}-8x+9)
integral de xcos(6x^2)	\int\:x\cos(6x^{2})dx
integral de x^{3.4}	\int\:x^{3.4}dx
integral de (sin(4x))/4	\int\:\frac{\sin(4x)}{4}dx
derivada de (x^2-2x-1((x+1)/(x+3)))	\frac{d}{dx}((x^{2}-2x-1)(\frac{x+1}{x+3}))
(dy}{dt}=-\frac{2t)/y	\frac{dy}{dt}=-\frac{2t}{y}
límite cuando x tiende a-2 de log_{a}(x)	\lim\:_{x\to\:-2}(\log_{a}(x))
integral de (1-3y)/(sqrt(2y-3y^2))	\int\:\frac{1-3y}{\sqrt{2y-3y^{2}}}dy
derivada de log_{2}(1-3x)	\frac{d}{dx}(\log_{2}(1-3x))
derivative (-6x^5+12)^4	derivative\:(-6x^{5}+12)^{4}
tangent (x^2)/(x+3)	tangent\:\frac{x^{2}}{x+3}
serie de n=0 a infinity de 9+3+1	\sum\:_{n=0}^{\infty\:}9+3+1
derivada de (3x^2-x+5(x^2+3x-9))	\frac{d}{dx}((3x^{2}-x+5)(x^{2}+3x-9))
(\partial)/(\partial y)(2x^4y-4)	\frac{\partial\:}{\partial\:y}(2x^{4}y-4)
integral de sec(17w)tan(17w)	\int\:\sec(17w)\tan(17w)dw
derivada de ln(2x-1+2)	\frac{d}{dx}(\ln(2x-1)+2)
derivative (sin(q)+cos(q))/(cos(q))	derivative\:\frac{\sin(q)+\cos(q)}{\cos(q)}
inverselaplace 4/(s(s^2+2s+4))	inverselaplace\:\frac{4}{s(s^{2}+2s+4)}
límite cuando x tiende a-8 de 3x+1	\lim\:_{x\to\:-8}(3x+1)
derivada de cos^2(x+1)	\frac{d}{dx}(\cos^{2}(x)+1)
límite cuando x tiende a 5 de (x+2)/(x^2-5)	\lim\:_{x\to\:5}(\frac{x+2}{x^{2}-5})
derivada de 2-cosh(x-1)	\frac{d}{dx}(2-\cosh(x-1))
y^'=8x-y	y^{\prime\:}=8x-y
integral de sinh^4(x)cosh(x)	\int\:\sinh^{4}(x)\cosh(x)dx
11x-8ysqrt((x^2+1))((dy)/(dx))=0	11x-8y\sqrt{(x^{2}+1)}(\frac{dy}{dx})=0
área x,[1,0]	area\:x,[1,0]
tangent f(x)=tan(x),\at x= pi/3	tangent\:f(x)=\tan(x),\at\:x=\frac{π}{3}
integral de 3x^2-x	\int\:3x^{2}-xdx
derivative y=((5x^2+9))/(x^2+1)	derivative\:y=\frac{(5x^{2}+9)}{x^{2}+1}
t(dy)/(dt)+ty=1-y	t\frac{dy}{dt}+ty=1-y
y(x^2+1)^3(dy)/(dx)=x(1-y^2)^2	y(x^{2}+1)^{3}\frac{dy}{dx}=x(1-y^{2})^{2}
área y= 5/2-1/x ,y=x	area\:y=\frac{5}{2}-\frac{1}{x},y=x
integral de 0 a 1 de 6(1+sqrt(x))^4	\int\:_{0}^{1}6(1+\sqrt{x})^{4}dx
integral de 1/(sqrt(x+3)-1)	\int\:\frac{1}{\sqrt{x+3}-1}dx
integral de sin(x)+C	\int\:\sin(x)+Cdx
integral de e^{8+x}	\int\:e^{8+x}dx

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