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Problemas populares

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Problemas populares de Cálculo

límite cuando x tiende a-3-de g(x)	\lim\:_{x\to\:-3-}(g(x))
derivada de (6x^2+4x+4/(sqrt(x)))	\frac{d}{dx}(\frac{6x^{2}+4x+4}{\sqrt{x}})
límite cuando x tiende a pi/2 de sec(x)	\lim\:_{x\to\:\frac{π}{2}}(\sec(x))
límite cuando x tiende a 0+de ln(x)*tan(x)	\lim\:_{x\to\:0+}(\ln(x)\cdot\:\tan(x))
x(dy)/(dx)+2y=2e^x	x\frac{dy}{dx}+2y=2e^{x}
inversalaplace 5/(pis^2)	inverselaplace\:\frac{5}{πs^{2}}
derivative sqrt(2x-3)	derivative\:\sqrt{2x-3}
tangent 8e^x	tangent\:8e^{x}
y^'+(3y)/x =-1/x	y^{\prime\:}+\frac{3y}{x}=-\frac{1}{x}
(\partial)/(\partial x)(2x^3+xy^2)	\frac{\partial\:}{\partial\:x}(2x^{3}+xy^{2})
1/x (dy)/(dx)=e^{x+y}	\frac{1}{x}\frac{dy}{dx}=e^{x+y}
derivada de 1/(2xsqrt(ln(x+1)))	\frac{d}{dx}(\frac{1}{2x\sqrt{\ln(x)+1}})
integral de cot^3(x)*csc^3(x)	\int\:\cot^{3}(x)\cdot\:\csc^{3}(x)dx
serie de n=1 a infinity de (2n!)/(n^n)	\sum\:_{n=1}^{\infty\:}\frac{2n!}{n^{n}}
derivative sqrt(r)(2r+1)	derivative\:\sqrt{r}(2r+1)
(dy)/(dt)=5(y-t^2)	\frac{dy}{dt}=5(y-t^{2})
integral de (x^3)/((2+x^4)^9)	\int\:\frac{x^{3}}{(2+x^{4})^{9}}dx
y^'=2y-3e^{-t}	y^{\prime\:}=2y-3e^{-t}
límite cuando x tiende a 0 de sin(2/x)	\lim\:_{x\to\:0}(\sin(\frac{2}{x}))
tangent f(x)=2x+sqrt(x)	tangent\:f(x)=2x+\sqrt{x}
(dy)/(dx)+3y=18	\frac{dy}{dx}+3y=18
integral de 1/((x^2+6x+6)^2)	\int\:\frac{1}{(x^{2}+6x+6)^{2}}dx
integral de 1/(xsqrt(5-x^2))	\int\:\frac{1}{x\sqrt{5-x^{2}}}dx
integral de 1/(xsqrt(4x+1))	\int\:\frac{1}{x\sqrt{4x+1}}dx
integral de 8csc^4(x)cot^6(x)	\int\:8\csc^{4}(x)\cot^{6}(x)dx
(\partial)/(\partial y)(4x-2y+3)	\frac{\partial\:}{\partial\:y}(4x-2y+3)
derivada de 2pi*sqrt(x/(9.8))	\frac{d}{dx}(2π\cdot\:\sqrt{\frac{x}{9.8}})
derivada de-7e^{-x}	\frac{d}{dx}(-7e^{-x})
derivada de (x^4-2x^2+5x+1/(x^4))	\frac{d}{dx}(\frac{x^{4}-2x^{2}+5x+1}{x^{4}})
xv(dv)/(dx)+v^2=32x	xv\frac{dv}{dx}+v^{2}=32x
límite cuando x tiende a 1 de (x-1)/(\|x-1\|)	\lim\:_{x\to\:1}(\frac{x-1}{\left\|x-1\right\|})
integral de 4 a 9 de 2sqrt(x)	\int\:_{4}^{9}2\sqrt{x}dx
serie de n=1 a infinity de (n^2)/(2n^2)	\sum\:_{n=1}^{\infty\:}\frac{n^{2}}{2n^{2}}
derivative y=4x^2sin(x)tan(x)	derivative\:y=4x^{2}\sin(x)\tan(x)
y^'= 1/(ty+2t+y+2)	y^{\prime\:}=\frac{1}{ty+2t+y+2}
límite cuando n tiende a a de (5n)/(10n+4)	\lim\:_{n\to\:a}(\frac{5n}{10n+4})
derivada de 5-cos(x)	\frac{d}{dx}(5-\cos(x))
(\partial)/(\partial y)((x^2y-y)/(x^2-2y))	\frac{\partial\:}{\partial\:y}(\frac{x^{2}y-y}{x^{2}-2y})
inversalaplace 2/((s-2)^2)	inverselaplace\:\frac{2}{(s-2)^{2}}
y^3-(10x+8)+3xy^2y^'=0	y^{3}-(10x+8)+3xy^{2}y^{\prime\:}=0
derivative (sqrt(x-4))/(sqrt(x+4))	derivative\:\frac{\sqrt{x-4}}{\sqrt{x+4}}
derivative y= 1/(3x)	derivative\:y=\frac{1}{3x}
derivada de sin(x^3-x)	\frac{d}{dx}(\sin(x^{3}-x))
área 2y=x,x+1=(y-1)^2	area\:2y=x,x+1=(y-1)^{2}
derivada de sqrt(7-8x)	\frac{d}{dx}(\sqrt{7-8x})
(dy)/(dx)=(x+y+5)^2	\frac{dy}{dx}=(x+y+5)^{2}
y^{''}+2y=-4x	y^{\prime\:\prime\:}+2y=-4x
laplacetransformación 2e^{-t}cos(4t)	laplacetransform\:2e^{-t}\cos(4t)
derivada de ((4x+b)/((cx+d)))	\frac{d}{dx}(\frac{(4x+b)}{(cx+d)})
xy+(dy)/(dx)=100x	xy+\frac{dy}{dx}=100x
(dy)/(dx)+8y=e^xy^{-8}	\frac{dy}{dx}+8y=e^{x}y^{-8}
límite cuando x tiende a 5-de 4x-5	\lim\:_{x\to\:5-}(4x-5)
integral de x/((x-1)(x+2))	\int\:\frac{x}{(x-1)(x+2)}dx
integral de ((5x^2+8x+5))/((x-5)(x^2+9))	\int\:\frac{(5x^{2}+8x+5)}{(x-5)(x^{2}+9)}dx
integral de 2sin(x^3)	\int\:2\sin(x^{3})dx
integral de 1/((x^2+3))	\int\:\frac{1}{(x^{2}+3)}dx
derivada de (3x/(2sin(x)+cos(x)))	\frac{d}{dx}(\frac{3x}{2\sin(x)+\cos(x)})
y^{''}+y^'-6y=0	y^{\prime\:\prime\:}+y^{\prime\:}-6y=0
área y=x^3-9x^2+14x,y=-x^3+9x^2-14x	area\:y=x^{3}-9x^{2}+14x,y=-x^{3}+9x^{2}-14x
serie de n=1 a infinity de (5^n)/(6^n)	\sum\:_{n=1}^{\infty\:}\frac{5^{n}}{6^{n}}
integral de 0 a 0.6 de 2000x	\int\:_{0}^{0.6}2000xdx
d/(da)(tan(a)cot(a))	\frac{d}{da}(\tan(a)\cot(a))
inversalaplace 1/s+1/s e^s	inverselaplace\:\frac{1}{s}+\frac{1}{s}e^{s}
inversalaplace-2	inverselaplace\:-2
integral de 4sec(x)tan(x)-2sec^2(x)	\int\:4\sec(x)\tan(x)-2\sec^{2}(x)dx
inversalaplace 1/(s^2+3)	inverselaplace\:\frac{1}{s^{2}+3}
integral de (x-1)/(x^3-x^2-2x)	\int\:\frac{x-1}{x^{3}-x^{2}-2x}dx
integral de 5sin^3(xco)s^5x	\int\:5\sin^{3}(xco)s^{5}xdx
derivative ce^{2x}	derivative\:ce^{2x}
área 8x^2,sqrt(1/8 x)	area\:8x^{2},\sqrt{\frac{1}{8}x}
(\partial)/(\partial x)(3x^4y^5+5x^7y^8)	\frac{\partial\:}{\partial\:x}(3x^{4}y^{5}+5x^{7}y^{8})
integral de 0 a 3 de 1/(x-1)	\int\:_{0}^{3}\frac{1}{x-1}dx
tangent f(x)=-2x^3,(-1,2)	tangent\:f(x)=-2x^{3},(-1,2)
inversalaplace 9/((s+3)^3)	inverselaplace\:\frac{9}{(s+3)^{3}}
(\partial)/(\partial y)(3x^2y^2)	\frac{\partial\:}{\partial\:y}(3x^{2}y^{2})
y^'+1/x y=3x^2	y^{\prime\:}+\frac{1}{x}y=3x^{2}
límite cuando x tiende a 3 de 5x-1	\lim\:_{x\to\:3}(5x-1)
(dy)/(dx)=(e^x)/(2+e^x)	\frac{dy}{dx}=\frac{e^{x}}{2+e^{x}}
integral de (19xe^{2x})/((1+2x)^2)	\int\:\frac{19xe^{2x}}{(1+2x)^{2}}dx
derivada de 6x+sin(3x)	\frac{d}{dx}(6x+\sin(3x))
derivada de (1-x^2/(2-x^3))	\frac{d}{dx}(\frac{1-x^{2}}{2-x^{3}})
y^{''}+4y^'+30y=0,y(0)=1,y^'(0)=0	y^{\prime\:\prime\:}+4y^{\prime\:}+30y=0,y(0)=1,y^{\prime\:}(0)=0
integral de sin(3x)cos^2(3x)	\int\:\sin(3x)\cos^{2}(3x)dx
integral de-1 a 4 de (5x^4-8x^3+6)	\int\:_{-1}^{4}(5x^{4}-8x^{3}+6)dx
f^'(x)=e^x	f^{\prime\:}(x)=e^{x}
integral de-6sqrt(x)e^{sqrt(x)}	\int\:-6\sqrt{x}e^{\sqrt{x}}dx
integral de (e^x(e^x+1))/((e^x-1)^3)	\int\:\frac{e^{x}(e^{x}+1)}{(e^{x}-1)^{3}}dx
(dy)/(dx)=3(2-y)	\frac{dy}{dx}=3(2-y)
(dy)/(dx)=(xy+y^2)/(x^2)	\frac{dy}{dx}=\frac{xy+y^{2}}{x^{2}}
(dy)/(dx)=16\sqrt[4]{4x^4+4}	\frac{dy}{dx}=16\sqrt[4]{4x^{4}+4}
y^{''}+2y^'+26y=0	y^{\prime\:\prime\:}+2y^{\prime\:}+26y=0
área 2^x,ln(x), 1/2 ,2	area\:2^{x},\ln(x),\frac{1}{2},2
límite cuando x tiende a 4 de-x^2+4x	\lim\:_{x\to\:4}(-x^{2}+4x)
integral de 3ye^{3x}	\int\:3ye^{3x}dx
tangent f(x)= 2/(3x+5),\at x=-1	tangent\:f(x)=\frac{2}{3x+5},\at\:x=-1
4y^{''}-4y^'+50y=0	4y^{\prime\:\prime\:}-4y^{\prime\:}+50y=0
derivative y=8^x	derivative\:y=8^{x}
integral de (1-2x-x^2)/(x^3+x^2-3x+1)	\int\:\frac{1-2x-x^{2}}{x^{3}+x^{2}-3x+1}dx
límite cuando x tiende a 3 de (-x+6)/(-2-1)	\lim\:_{x\to\:3}(\frac{-x+6}{-2-1})
derivada de kxe^x	\frac{d}{dx}(kxe^{x})

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