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Problemas populares

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Problemas populares de Cálculo

f(x)=e^{x-2}	f(x)=e^{x-2}
derivative x^2sqrt(36-x^2)	derivative\:x^{2}\sqrt{36-x^{2}}
x^2dy-2xydx=x^4cos(2x)dx	x^{2}dy-2xydx=x^{4}\cos(2x)dx
integral de (2x^2+7x-3)/(x-2)	\int\:\frac{2x^{2}+7x-3}{x-2}dx
derivative ln(arctan(x))	derivative\:\ln(\arctan(x))
derivative (t+e^t)(6-sqrt(t))	derivative\:(t+e^{t})(6-\sqrt{t})
y^{''}+5y^'+6y=6	y^{\prime\:\prime\:}+5y^{\prime\:}+6y=6
d/(dt)(t^2)	\frac{d}{dt}(t^{2})
derivative y=e^{-sin(x)}	derivative\:y=e^{-\sin(x)}
q^'+q/(20+t)=1	q^{\prime\:}+\frac{q}{20+t}=1
y^'=x^2 1/y	y^{\prime\:}=x^{2}\frac{1}{y}
derivative y=x^{2x}	derivative\:y=x^{2x}
derivada de 2+2cos(x)	\frac{d}{dx}(2+2\cos(x))
área y=-x^3+2,y=x-3,x=-1,x=1	area\:y=-x^{3}+2,y=x-3,x=-1,x=1
integral de x/y	\int\:\frac{x}{y}dy
(\partial)/(\partial x)(ln(1+x^2+y))	\frac{\partial\:}{\partial\:x}(\ln(1+x^{2}+y))
derivada de \sqrt[3]{x}(8-x)	\frac{d}{dx}(\sqrt[3]{x}(8-x))
integral de t^3e^{-t}	\int\:t^{3}e^{-t}dt
derivative f(x)=(x+2)^2e^{-x}	derivative\:f(x)=(x+2)^{2}e^{-x}
límite cuando x tiende a-1 de (2-2)/(x+1)	\lim\:_{x\to\:-1}(\frac{2-2}{x+1})
tangent sin((10pi)/x)	tangent\:\sin(\frac{10π}{x})
d/(dt)(-cot(t))	\frac{d}{dt}(-\cot(t))
límite cuando x tiende a 2 de (2x+1)/(5-3x)	\lim\:_{x\to\:2}(\frac{2x+1}{5-3x})
integral de 1/((1-y^2))	\int\:\frac{1}{(1-y^{2})}dy
integral de 6/(x-6)	\int\:\frac{6}{x-6}dx
derivada de (14/((1+e^{-x))})	\frac{d}{dx}(\frac{14}{(1+e^{-x})})
serie de n=2 a infinity de 2/(n^2-1)	\sum\:_{n=2}^{\infty\:}\frac{2}{n^{2}-1}
(dy)/(dx)=3-y	\frac{dy}{dx}=3-y
integral de (x+1)/(x^2-4)	\int\:\frac{x+1}{x^{2}-4}dx
derivative f(x)=-8/x	derivative\:f(x)=-\frac{8}{x}
límite cuando x tiende a 3 de-2(x-2)^2+4	\lim\:_{x\to\:3}(-2(x-2)^{2}+4)
derivative-1/2 cos(2x)	derivative\:-\frac{1}{2}\cos(2x)
(x^2)^'	(x^{2})^{\prime\:}
integral de 5e^{-5x}sin(5x)	\int\:5e^{-5x}\sin(5x)dx
derivative 4pi(3+x)^2	derivative\:4π(3+x)^{2}
tangent f(x)=(x^2)/(x+7),\at x=1	tangent\:f(x)=\frac{x^{2}}{x+7},\at\:x=1
(d^3)/(dx^3)((2x+5)^7)	\frac{d^{3}}{dx^{3}}((2x+5)^{7})
derivative y=(5x+4)^2	derivative\:y=(5x+4)^{2}
tangent x^3-5x^2	tangent\:x^{3}-5x^{2}
serie de n=1 a infinity de (5^n)/(4^n)	\sum\:_{n=1}^{\infty\:}\frac{5^{n}}{4^{n}}
integral de (3-x)/(3x^2-2x-1)	\int\:\frac{3-x}{3x^{2}-2x-1}dx
límite cuando x tiende a 1 de (2x+1)(x-1)	\lim\:_{x\to\:1}((2x+1)(x-1))
integral de 5/x-3/(x^2)	\int\:\frac{5}{x}-\frac{3}{x^{2}}dx
derivative 1/3 x^3-7/2 x^2-8x+3	derivative\:\frac{1}{3}x^{3}-\frac{7}{2}x^{2}-8x+3
integral de e^{1-6t}	\int\:e^{1-6t}dt
derivative (x^3-7x+2)(2x^4-1)	derivative\:(x^{3}-7x+2)(2x^{4}-1)
límite cuando x tiende a 1 de 1-x^3	\lim\:_{x\to\:1}(1-x^{3})
integral de 0 a infinity de (sin(x))/x	\int\:_{0}^{\infty\:}\frac{\sin(x)}{x}dx
integral de (60x)/(5x^2+e)	\int\:\frac{60x}{5x^{2}+e}dx
integral de-2 a 2 de (x^2+8)	\int\:_{-2}^{2}(x^{2}+8)dx
integral de (y^2+36y+324)/((y^2+324)^2)	\int\:\frac{y^{2}+36y+324}{(y^{2}+324)^{2}}dy
integral de 1/(csc(2x)-cot(2x))	\int\:\frac{1}{\csc(2x)-\cot(2x)}dx
integral de 4 a 8 de 1/x	\int\:_{4}^{8}\frac{1}{x}dx
límite cuando x tiende a 3 de (x-3)/(3-x)	\lim\:_{x\to\:3}(\frac{x-3}{3-x})
área x^2-9,9-x^2	area\:x^{2}-9,9-x^{2}
integral de t^3e^{-t^4}	\int\:t^{3}e^{-t^{4}}dt
límite cuando x tiende a 0 de x^2cos(5/x)	\lim\:_{x\to\:0}(x^{2}\cos(\frac{5}{x}))
8x^2y+y^'=-3x^2	8x^{2}y+y^{\prime\:}=-3x^{2}
derivada de x^{1/2}y	\frac{d}{dx}(x^{\frac{1}{2}}y)
r*(dq)/(dr)+3q=0	r\cdot\:\frac{dq}{dr}+3q=0
límite cuando x tiende a 0+de 5x+6	\lim\:_{x\to\:0+}(5x+6)
integral de (4xsin(y^2))/(y^3)	\int\:\frac{4x\sin(y^{2})}{y^{3}}dy
límite cuando x tiende a-1 de sqrt(x+1)	\lim\:_{x\to\:-1}(\sqrt{x+1})
límite cuando x tiende a-3 de 2/((x+3)^6)	\lim\:_{x\to\:-3}(\frac{2}{(x+3)^{6}})
y^'=(x+y-3)^2,y(0)=0	y^{\prime\:}=(x+y-3)^{2},y(0)=0
derivada de 8(e^xcos(x-e^xsin(x)))	\frac{d}{dx}(8(e^{x}\cos(x)-e^{x}\sin(x)))
integral de (x^4-5x^3+5x^2+8)/(x^3+3x^2)	\int\:\frac{x^{4}-5x^{3}+5x^{2}+8}{x^{3}+3x^{2}}dx
derivative f(x)=5x^2(x^3+2)	derivative\:f(x)=5x^{2}(x^{3}+2)
derivada de 3x^{3x}	\frac{d}{dx}(3x^{3x})
derivada de 5-2sin(x-e^x)	\frac{d}{dx}(5-2\sin(x)-e^{x})
integral de t/((3t^2+1)^4)	\int\:\frac{t}{(3t^{2}+1)^{4}}dt
y^'+y=cos(t),y(0)=1	y^{\prime\:}+y=\cos(t),y(0)=1
derivative y=log_{e}(log_{e}(x))	derivative\:y=\log_{e}(\log_{e}(x))
límite cuando h tiende a 0 de ((h+2)^3-8)/h	\lim\:_{h\to\:0}(\frac{(h+2)^{3}-8}{h})
integral de 1/y	\int\:\frac{1}{y}dy
integral de 0 a 1 de 5(e^{1/x})/(x^3)	\int\:_{0}^{1}5\frac{e^{\frac{1}{x}}}{x^{3}}dx
derivative ((8x+5)/(8x-5))^{1/2}	derivative\:(\frac{8x+5}{8x-5})^{\frac{1}{2}}
derivative e^r+r^e	derivative\:e^{r}+r^{e}
derivative f(x)=(2x)/(3-tan(x))	derivative\:f(x)=\frac{2x}{3-\tan(x)}
(\partial)/(\partial x)(sin(8x-9y))	\frac{\partial\:}{\partial\:x}(\sin(8x-9y))
derivative x/2+3	derivative\:\frac{x}{2}+3
(\partial)/(\partial x)(ln(x+2y+6z))	\frac{\partial\:}{\partial\:x}(\ln(x+2y+6z))
derivada de Ae^{-3/2 x}+Be^{3x}+Cxe^{3x}+dx^2e^{3x}	\frac{d}{dx}(Ae^{-\frac{3}{2}x}+Be^{3x}+Cxe^{3x}+dx^{2}e^{3x})
derivada de (x^2+4x-5^4)	\frac{d}{dx}((x^{2}+4x-5)^{4})
integral de x^2cos(x/2)	\int\:x^{2}\cos(\frac{x}{2})dx
derivative e^t	derivative\:e^{t}
integral de (t^2)/(sqrt(1-t^6))	\int\:\frac{t^{2}}{\sqrt{1-t^{6}}}dt
integral de e^{t^2}t^3	\int\:e^{t^{2}}t^{3}dt
(d^2)/(dx^2)(4x^3-5x^4)	\frac{d^{2}}{dx^{2}}(4x^{3}-5x^{4})
implicit sin(xy)=cos(x+y)	implicit\:\sin(xy)=\cos(x+y)
derivative ((10^x))/(ln(10))	derivative\:\frac{(10^{x})}{\ln(10)}
(\partial)/(\partial x)(sqrt(20-4x^2-3y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{20-4x^{2}-3y^{2}})
integral de 29x^2ln(x)	\int\:29x^{2}\ln(x)dx
maclaurin 1/(\sqrt[3]{2x+1)}	maclaurin\:\frac{1}{\sqrt[3]{2x+1}}
(d^2)/(dx^2)(e^{5x})	\frac{d^{2}}{dx^{2}}(e^{5x})
(\partial)/(\partial x)(10xy)	\frac{\partial\:}{\partial\:x}(10xy)
integral de sin(2x)cos(x)	\int\:\sin(2x)\cos(x)dx
derivative f(x)=sqrt(x^2+8)	derivative\:f(x)=\sqrt{x^{2}+8}
derivative y=2x^2e^x+4x^3	derivative\:y=2x^{2}e^{x}+4x^{3}
límite cuando x tiende a 0 de (1-5x)^{7/x}	\lim\:_{x\to\:0}((1-5x)^{\frac{7}{x}})

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