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Problemas populares

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Problemas populares de Cálculo

taylor (1+x/2)^{-4}	taylor\:(1+\frac{x}{2})^{-4}
integral de 16-x	\int\:16-xdx
3x^2y^{''}+7xy^'+y=24x+2	3x^{2}y^{\prime\:\prime\:}+7xy^{\prime\:}+y=24x+2
derivada de 3x^2-4xy^4-y^3	\frac{d}{dx}(3x^{2}-4xy^{4}-y^{3})
límite cuando x tiende a 1 de ln(0)	\lim\:_{x\to\:1}(\ln(0))
derivada de (x-11/(sqrt(x)-\sqrt{11)})	\frac{d}{dx}(\frac{x-11}{\sqrt{x}-\sqrt{11}})
integral de 1/(1+2e^x-e^{-x)}	\int\:\frac{1}{1+2e^{x}-e^{-x}}dx
derivative (x^8-2)^3	derivative\:(x^{8}-2)^{3}
d/(dt)(0)	\frac{d}{dt}(0)
derivative (3x+5)^7	derivative\:(3x+5)^{7}
y^'-y/((100+4t))=150	y^{\prime\:}-\frac{y}{(100+4t)}=150
integral de x*cos(3x)	\int\:x\cdot\:\cos(3x)dx
pendienteintercept (-2,-5),(-4,4)	slopeintercept\:(-2,-5),(-4,4)
límite cuando x tiende a 4 de x^4e^{-x^3}	\lim\:_{x\to\:4}(x^{4}e^{-x^{3}})
límite cuando x tiende a 1+de (ln(x))^{1-x}	\lim\:_{x\to\:1+}((\ln(x))^{1-x})
integral de (x-1)sqrt(1+e^{2y)}	\int\:(x-1)\sqrt{1+e^{2y}}dy
integral de (1/(2x+5))	\int\:(\frac{1}{2x+5})dx
5x^{''}+50x=10	5x^{\prime\:\prime\:}+50x=10
integral de x(5x^2+2/3)^4	\int\:x(5x^{2}+\frac{2}{3})^{4}dx
derivada de-5x^3+x^2-3x-3	\frac{d}{dx}(-5x^{3}+x^{2}-3x-3)
integral de 0 a 1 de 1/(1+x^2)	\int\:_{0}^{1}\frac{1}{1+x^{2}}dx
integral de (2x+7)/(x^2+2x-4)	\int\:\frac{2x+7}{x^{2}+2x-4}dx
derivada de (cos(x)/(1+cotan(x)))	\frac{d}{dx}(\frac{\cos(x)}{1+co\tan(x)})
integral de 7e^x+2sec^2(x)	\int\:7e^{x}+2\sec^{2}(x)dx
derivada de x(a+bxe^{3x})	\frac{d}{dx}(x(a+bx)e^{3x})
derivada de e^{-1/(x^3})	\frac{d}{dx}(e^{-\frac{1}{x^{3}}})
integral de 6x^5e^{7x^6}	\int\:6x^{5}e^{7x^{6}}dx
derivada de x^{2/3}(6-x^{1/3})	\frac{d}{dx}(x^{\frac{2}{3}}(6-x)^{\frac{1}{3}})
integral de 8 a 13 de y/(y^2-4y-5)	\int\:_{8}^{13}\frac{y}{y^{2}-4y-5}dy
y^{''}-3y^'+2y=4e^{2t}	y^{\prime\:\prime\:}-3y^{\prime\:}+2y=4e^{2t}
derivada de sqrt(-3x+7)	\frac{d}{dx}(\sqrt{-3x+7})
(\partial)/(\partial x)(3e^{xy+4})	\frac{\partial\:}{\partial\:x}(3e^{xy+4})
(dy)/(dx)=xy+5x+2y+10	\frac{dy}{dx}=xy+5x+2y+10
laplacetransformación 13sin(2t)	laplacetransform\:13\sin(2t)
integral de ((10)/(1-sin^2(x)))	\int\:(\frac{10}{1-\sin^{2}(x)})dx
serie de n=1 a infinity}(((-1)^{(n-1) de))/((n^3))	\sum\:_{n=1}^{\infty\:}\frac{((-1)^{(n-1)})}{(n^{3})}
y^'+2y=3	y^{\prime\:}+2y=3
límite cuando x tiende a 2-de sqrt(2-x)	\lim\:_{x\to\:2-}(\sqrt{2-x})
límite cuando x tiende a 2-de 1/(x-2)	\lim\:_{x\to\:2-}(\frac{1}{x-2})
tangent f(x)=2sqrt(x),\at x=1	tangent\:f(x)=2\sqrt{x},\at\:x=1
(ln(x))^6	(\ln(x))^{6}
derivada de ((x-3^3)/((x^3-1)^2))	\frac{d}{dx}(\frac{(x-3)^{3}}{(x^{3}-1)^{2}})
derivada de 1/((x-3^2))	\frac{d}{dx}(\frac{1}{(x-3)^{2}})
integral de-1 a 3 de e^{2x}	\int\:_{-1}^{3}e^{2x}dx
integral de 1/(sqrt(49x^2-64))	\int\:\frac{1}{\sqrt{49x^{2}-64}}dx
derivada de-bsin(x)	\frac{d}{dx}(-b\sin(x))
d/(dt)(t/((t-1)^2))	\frac{d}{dt}(\frac{t}{(t-1)^{2}})
serie de n=0 a infinity de n/(n^3+4)	\sum\:_{n=0}^{\infty\:}\frac{n}{n^{3}+4}
tangent x^6+y^2=2,(1,-1)	tangent\:x^{6}+y^{2}=2,(1,-1)
derivada de 2A+B(e^xx^2+4e^xx+2e^x)	\frac{d}{dx}(2A+B(e^{x}x^{2}+4e^{x}x+2e^{x}))
xy^'+2y=3cos(x)	xy^{\prime\:}+2y=3\cos(x)
integral de cos^2(2x)sin^3(2x)	\int\:\cos^{2}(2x)\sin^{3}(2x)dx
pendiente h(x)=4^x-6	slope\:h(x)=4^{x}-6
derivative g(x)=3x^2cos(x)+8x	derivative\:g(x)=3x^{2}\cos(x)+8x
integral de x/((x^2+9))	\int\:\frac{x}{(x^{2}+9)}dx
laplacetransformación x-5	laplacetransform\:x-5
integral de g/(1/p-\frac{gz){k}}	\int\:\frac{g}{\frac{1}{p}-\frac{gz}{k}}dz
integral de 0 a 2 de 0.2e^{-0.2x}	\int\:_{0}^{2}0.2e^{-0.2x}dx
y^'-5y=te^{(-4t)}	y^{\prime\:}-5y=te^{(-4t)}
tangent f(x)= 1/(x^2),\at x=2	tangent\:f(x)=\frac{1}{x^{2}},\at\:x=2
xy^'=y+x^2sin(x),y(pi/3)=0	xy^{\prime\:}=y+x^{2}\sin(x),y(\frac{π}{3})=0
derivative h(31-1/2 h)^2	derivative\:h(31-\frac{1}{2}h)^{2}
integral de 0 a 1 de (sin(x))/x	\int\:_{0}^{1}\frac{\sin(x)}{x}dx
integral de 4ln(4x^2)	\int\:4\ln(4x^{2})dx
derivada de (a^2+x^2/(a^2-x^2))	\frac{d}{dx}(\frac{a^{2}+x^{2}}{a^{2}-x^{2}})
integral de \sqrt[6]{x}+1/(\sqrt[6]{x)}	\int\:\sqrt[6]{x}+\frac{1}{\sqrt[6]{x}}dx
integral de u^3	\int\:u^{3}du
integral de (((ln(x^2)))/x)	\int\:(\frac{(\ln(x^{2}))}{x})dx
derivative (2x-1)/(4x+8)	derivative\:\frac{2x-1}{4x+8}
integral de (ln(x^4))/x	\int\:\frac{\ln(x^{4})}{x}dx
derivada de 1/x e^x	\frac{d}{dx}(\frac{1}{x}e^{x})
(dy)/(dx)=a*y	\frac{dy}{dx}=a\cdot\:y
derivative e^{tan(5t)}	derivative\:e^{\tan(5t)}
(e^{f(x)})'	(e^{f(x)})\prime\:
derivada de ((x^2+2x/(x+1))^5)	\frac{d}{dx}((\frac{x^{2}+2x}{x+1})^{5})
derivada de 9ln(cos(x))	\frac{d}{dx}(9\ln(\cos(x)))
integral de sin^3(2x)sqrt(cos(2x))	\int\:\sin^{3}(2x)\sqrt{\cos(2x)}dx
derivada de (4x^2-1/2 x(9x+8))	\frac{d}{dx}((4x^{2}-\frac{1}{2}x)(9x+8))
derivada de 3e^{4x}	\frac{d}{dx}(3e^{4x})
2y^'=3xy+1	2y^{\prime\:}=3xy+1
límite cuando x tiende a 1 de (x^2-2x+1)cos(e^{1/(x-1)})	\lim\:_{x\to\:1}((x^{2}-2x+1)\cos(e^{\frac{1}{x-1}}))
límite cuando x tiende a infinity de [2,x]	\lim\:_{x\to\:\infty\:}([2,x])
integral de (sin^2(x)-cos^2(x))	\int\:(\sin^{2}(x)-\cos^{2}(x))dx
(d^5)/(dx^5)(1/x)	\frac{d^{5}}{dx^{5}}(\frac{1}{x})
integral de e^xcot(e^x)	\int\:e^{x}\cot(e^{x})dx
límite cuando x tiende a-6-de (-8x)/(x+6)	\lim\:_{x\to\:-6-}(\frac{-8x}{x+6})
integral de (sin(x))/(1-cos^2(x))	\int\:\frac{\sin(x)}{1-\cos^{2}(x)}dx
integral de sin(10x)ln(sin(10x))	\int\:\sin(10x)\ln(\sin(10x))dx
integral de xsqrt(3x^2-2)	\int\:x\sqrt{3x^{2}-2}dx
integral de tsin(t^2)	\int\:t\sin(t^{2})dt
derivative 2/(5x^4)	derivative\:\frac{2}{5x^{4}}
límite cuando x tiende a 2 de (4-2x)/(x-2)	\lim\:_{x\to\:2}(\frac{4-2x}{x-2})
raíces ce^x	roots\:ce^{x}
3ydy=(2sin(2x)-e^x)ydx	3ydy=(2\sin(2x)-e^{x})ydx
(\partial)/(\partial x)(3x^6y^2)	\frac{\partial\:}{\partial\:x}(3x^{6}y^{2})
derivada de-5(2x-100^6)	\frac{d}{dx}(-5(2x-100)^{6})
d/(dt)(6t^2-8+40cos(pit))	\frac{d}{dt}(6t^{2}-8+40\cos(πt))
integral de 3t^4	\int\:3t^{4}dt
(\partial)/(\partial s)(tcos(s))	\frac{\partial\:}{\partial\:s}(t\cos(s))
1/x y^'= 1/x-1/(x^3)-5-y	\frac{1}{x}y^{\prime\:}=\frac{1}{x}-\frac{1}{x^{3}}-5-y

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