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Problemas populares Cálculo

derivada de x^{-1/2}*cos(x)	\frac{d}{dx}(x^{-\frac{1}{2}}\cdot\:\cos(x))
laplacetransform sin((2t)/3)	laplacetransform\:\sin(\frac{2t}{3})
derivada de x/((x-7^2))	\frac{d}{dx}(\frac{x}{(x-7)^{2}})
inverselaplace (6s-5)/(s^2+7)	inverselaplace\:\frac{6s-5}{s^{2}+7}
y^'-(2y)/x =x^3y^{-3}	y^{\prime\:}-\frac{2y}{x}=x^{3}y^{-3}
derivada de-e^{-x}x	\frac{d}{dx}(-e^{-x}x)
factor t^3+t	factor\:t^{3}+t
y^'=2sec^2(x)e^{2y}	y^{\prime\:}=2\sec^{2}(x)e^{2y}
maclaurin x-sin(x)	maclaurin\:x-\sin(x)
y^{''}+6y^'-16y=-272sin(8x)	y^{\prime\:\prime\:}+6y^{\prime\:}-16y=-272\sin(8x)
derivada de (ln(cos(2x))/x)	\frac{d}{dx}(\frac{\ln(\cos(2x))}{x})
derivada de cos(sqrt(3)x)	\frac{d}{dx}(\cos(\sqrt{3}x))
derivada de arcsin(x+arccos(x))	\frac{d}{dx}(\arcsin(x)+\arccos(x))
integral de sqrt(8x+1)	\int\:\sqrt{8x+1}dx
integral de (e^t+1)^2	\int\:(e^{t}+1)^{2}dt
límite cuando x tiende a 2 de 1/(x+1)	\lim\:_{x\to\:2}(\frac{1}{x+1})
inverselaplace (3s)/(s^2+3s+16)	inverselaplace\:\frac{3s}{s^{2}+3s+16}
derivada de x^3tan(x)	\frac{d}{dx}(x^{3}\tan(x))
(\partial)/(\partial x)(e^{x+y+4})	\frac{\partial\:}{\partial\:x}(e^{x+y+4})
integral de-1 a 1 de xsin(pix)	\int\:_{-1}^{1}x\sin(πx)dx
integral de 2/u	\int\:\frac{2}{u}du
integral de 0 a 1 de (1-x)^9	\int\:_{0}^{1}(1-x)^{9}dx
derivative f(x)=sqrt(7x+9)	derivative\:f(x)=\sqrt{7x+9}
(\partial)/(\partial x)((x^3-y^2)^2)	\frac{\partial\:}{\partial\:x}((x^{3}-y^{2})^{2})
(\partial)/(\partial x)((x+y)^5)	\frac{\partial\:}{\partial\:x}((x+y)^{5})
área y=1-x^2,y=x-1	area\:y=1-x^{2},y=x-1
integral de-1 a 3 de (-x)^3	\int\:_{-1}^{3}(-x)^{3}dx
derivada de (-2x+y/(-x+2y))	\frac{d}{dx}(\frac{-2x+y}{-x+2y})
implicit (dy)/(dx),2xy=5	implicit\:\frac{dy}{dx},2xy=5
integral de 0.5 a 3 de (sin(x))/x	\int\:_{0.5}^{3}\frac{\sin(x)}{x}dx
tangent y=-4cos(x),\at x= pi/2	tangent\:y=-4\cos(x),\at\:x=\frac{π}{2}
derivada de 1/(x 3/2)	\frac{d}{dx}(\frac{1}{x\frac{3}{2}})
serie de n=0 a infinity de n/(4^n)	\sum\:_{n=0}^{\infty\:}\frac{n}{4^{n}}
integral de sin(6x)cos(4x)	\int\:\sin(6x)\cos(4x)dx
límite cuando t tiende a 0 de (e^{2t})/(sin(t))	\lim\:_{t\to\:0}(\frac{e^{2t}}{\sin(t)})
integral de ((x+1))/(7x+x^2)	\int\:\frac{(x+1)}{7x+x^{2}}dx
(dN)/(dt)=N(1-0.001N)	\frac{dN}{dt}=N(1-0.001N)
integral de 1/((1-y)(1+y))	\int\:\frac{1}{(1-y)(1+y)}dy
derivada de 1/3 x^3+1/2 x^2-6x+8	\frac{d}{dx}(\frac{1}{3}x^{3}+\frac{1}{2}x^{2}-6x+8)
y^'=xsin(x)+xcos(x)	y^{\prime\:}=x\sin(x)+x\cos(x)
laplacetransform cos(4x)	laplacetransform\:\cos(4x)
tangent-6/((3x+5)^2)	tangent\:-\frac{6}{(3x+5)^{2}}
(y+xcot(y/x))dx-xdy=0	(y+x\cot(\frac{y}{x}))dx-xdy=0
límite cuando x tiende a 6 de ((1/x-1/6))/(x-6)	\lim\:_{x\to\:6}(\frac{(\frac{1}{x}-\frac{1}{6})}{x-6})
(dy)/(dx)=-(1+y)^4	\frac{dy}{dx}=-(1+y)^{4}
simplificar 7e^{-4x}	simplify\:7e^{-4x}
derivative e^{-2ax}	derivative\:e^{-2ax}
derivada de e^{-13x}	\frac{d}{dx}(e^{-13x})
(e^y-ye^x)dx+(xe^y-e^x)dy=0	(e^{y}-ye^{x})dx+(xe^{y}-e^{x})dy=0
integral de sin(5x)	\int\:\sin(5x)dx
derivative \sqrt[4]{t}-4e^t	derivative\:\sqrt[4]{t}-4e^{t}
derivative f(x)=cos(6x)*6	derivative\:f(x)=\cos(6x)\cdot\:6
integral de xsin(x+y)	\int\:x\sin(x+y)dx
derivada de e^{xsec(x})	\frac{d}{dx}(e^{x\sec(x)})
derivada de 2cos(x^2-4x^2sin(x^2))	\frac{d}{dx}(2\cos(x^{2})-4x^{2}\sin(x^{2}))
inverselaplace 3/(s(s^2+6s))	inverselaplace\:\frac{3}{s(s^{2}+6s)}
integral de 0 a 10 de 400-20t	\int\:_{0}^{10}400-20tdt
derivative 16e^x	derivative\:16e^{x}
pendiente (3-1)(3-4)	slope\:(3-1)(3-4)
(dy)/(dx)=sqrt(7x+y)-7	\frac{dy}{dx}=\sqrt{7x+y}-7
(dy)/(dt)=-y^2,y(0)= 1/2	\frac{dy}{dt}=-y^{2},y(0)=\frac{1}{2}
integral de e^{5x}*sqrt(3e^{5x)+2}	\int\:e^{5x}\cdot\:\sqrt{3e^{5x}+2}dx
(\partial)/(\partial x)(e^y(x^2-y^2))	\frac{\partial\:}{\partial\:x}(e^{y}(x^{2}-y^{2}))
integral de-3sin(3x)	\int\:-3\sin(3x)dx
derivative (5x)^{9x}	derivative\:(5x)^{9x}
límite cuando t tiende a 0 de tan(2t)	\lim\:_{t\to\:0}(\tan(2t))
límite cuando x tiende a 2-de 2x^2+7	\lim\:_{x\to\:2-}(2x^{2}+7)
inverselaplace 2/(s^3+3s^2-4)	inverselaplace\:\frac{2}{s^{3}+3s^{2}-4}
integral de e^{-0.25x}	\int\:e^{-0.25x}dx
laplacetransform 3cos^2(t)	laplacetransform\:3\cos^{2}(t)
t^2y^{''}+4ty^'-10y=0	t^{2}y^{\prime\:\prime\:}+4ty^{\prime\:}-10y=0
(5x+ye^{y/x})dx-(xe^{y/x})dy=0,y(1)=3	(5x+ye^{\frac{y}{x}})dx-(xe^{\frac{y}{x}})dy=0,y(1)=3
límite cuando t tiende a 0 de (sin(t))/t	\lim\:_{t\to\:0}(\frac{\sin(t)}{t})
integral de e^{-3ln(x)}	\int\:e^{-3\ln(x)}dx
integral de (ln(x^2))/(x^3)	\int\:\frac{\ln(x^{2})}{x^{3}}dx
integral de 1/(sqrt(8+x^2))	\int\:\frac{1}{\sqrt{8+x^{2}}}dx
integral de cos(2t)+sin(2t)	\int\:\cos(2t)+\sin(2t)dt
derivative x(7^{-3x})	derivative\:x(7^{-3x})
límite cuando x tiende a 2 de 16	\lim\:_{x\to\:2}(16)
maclaurin cos(3x)	maclaurin\:\cos(3x)
inverselaplace (7s)/(s^2-2s+10)	inverselaplace\:\frac{7s}{s^{2}-2s+10}
integral de (2x+5)/(x^2-4x+13)	\int\:\frac{2x+5}{x^{2}-4x+13}dx
integral de 4/(xsqrt(x^2-1))	\int\:\frac{4}{x\sqrt{x^{2}-1}}dx
integral de 4y^2	\int\:4y^{2}dy
derivada de (x^2/(x^2-36))	\frac{d}{dx}(\frac{x^{2}}{x^{2}-36})
integral de 1/(sqrt(x^2-5))	\int\:\frac{1}{\sqrt{x^{2}-5}}dx
integral de-12x	\int\:-12xdx
integral de 2t^3(t^4-3)^5	\int\:2t^{3}(t^{4}-3)^{5}dt
derivative g(x)=(arcsin(3x))/x	derivative\:g(x)=\frac{\arcsin(3x)}{x}
límite cuando x tiende a-infinity de-3x^3+x	\lim\:_{x\to\:-\infty\:}(-3x^{3}+x)
límite cuando x tiende a 0 de-(ln(1+6x))/x	\lim\:_{x\to\:0}(-\frac{\ln(1+6x)}{x})
f(t)=(tsin(t))/(1+t)	f(t)=\frac{t\sin(t)}{1+t}
integral de (2-x)/x	\int\:\frac{2-x}{x}dx
integral de \|x^2\|	\int\:\left\|x^{2}\right\|dx
serie de n=1 a infinity de (n!)/(2n!+1)	\sum\:_{n=1}^{\infty\:}\frac{n!}{2n!+1}
área x^2-x-2,3	area\:x^{2}-x-2,3
x^2y=(x^3+y^3)(dy)/(dx)	x^{2}y=(x^{3}+y^{3})\frac{dy}{dx}
derivada de tanh(1+e^{4x})	\frac{d}{dx}(\tanh(1+e^{4x}))
límite cuando x tiende a-infinity de 3x^2+1	\lim\:_{x\to\:-\infty\:}(3x^{2}+1)
derivative a^{2x}	derivative\:a^{2x}

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