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Problemas populares

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Problemas populares de Cálculo

límite cuando x tiende a pi/2 de xcos(x)	\lim\:_{x\to\:\frac{π}{2}}(x\cos(x))
integral de (x-3)^2e^{-x}	\int\:(x-3)^{2}e^{-x}dx
integral de e^{8x}	\int\:e^{8x}dx
(dQ)/(dt)=14.5-(7Q)/(800-2t)	\frac{dQ}{dt}=14.5-\frac{7Q}{800-2t}
integral de 0 a b de 1/(sqrt(25-x^2))	\int\:_{0}^{b}\frac{1}{\sqrt{25-x^{2}}}dx
límite cuando x tiende a-4 de (x^2-3)/(4-x)	\lim\:_{x\to\:-4}(\frac{x^{2}-3}{4-x})
tangent 2x^3-x^2+1	tangent\:2x^{3}-x^{2}+1
y^{''}-16y^'+289y=4t-21cos(17t)	y^{\prime\:\prime\:}-16y^{\prime\:}+289y=4t-21\cos(17t)
serie de n=1 a infinity de n2^n	\sum\:_{n=1}^{\infty\:}n2^{n}
integral de 1/(e^{-x)}	\int\:\frac{1}{e^{-x}}dx
integral de 2/5-5/x	\int\:\frac{2}{5}-\frac{5}{x}dx
integral de 1/((11-10x-x^2)^2)	\int\:\frac{1}{(11-10x-x^{2})^{2}}dx
derivada de 5/(sqrt(x+3))	\frac{d}{dx}(\frac{5}{\sqrt{x+3}})
límite cuando x tiende a+0 de (1-2x)^{1/2}	\lim\:_{x\to\:+0}((1-2x)^{\frac{1}{2}})
f(x)=(sin(x))^{2x}	f(x)=(\sin(x))^{2x}
integral de (3x+1)/(x^2+4x+3)	\int\:\frac{3x+1}{x^{2}+4x+3}dx
integral de sqrt(tan(x))sec^4(x)	\int\:\sqrt{\tan(x)}\sec^{4}(x)dx
integral de 5 a 1 de-4x+1	\int\:_{5}^{1}-4x+1dx
serie de n=0 a infinity de-2-8-32-128	\sum\:_{n=0}^{\infty\:}-2-8-32-128
derivative cos(5t)	derivative\:\cos(5t)
límite cuando x tiende a 3 de (x^2+5)/(x+5)	\lim\:_{x\to\:3}(\frac{x^{2}+5}{x+5})
derivada de ln(x^2-3x+1)	\frac{d}{dx}(\ln(x^{2}-3x+1))
tangent y=x^2-1,(-3,8)	tangent\:y=x^{2}-1,(-3,8)
(\partial)/(\partial x)(6x-5y)	\frac{\partial\:}{\partial\:x}(6x-5y)
serie de n=1 a infinity}(-1)^n(\sqrt{n de)/(n+2)	\sum\:_{n=1}^{\infty\:}(-1)^{n}\frac{\sqrt{n}}{n+2}
integral de (sqrt(289-x^2))/x	\int\:\frac{\sqrt{289-x^{2}}}{x}dx
límite cuando x tiende a 0 de (1+x)^{5/x}	\lim\:_{x\to\:0}((1+x)^{\frac{5}{x}})
x^2(dy)/(dx)-2xy=6y^4,y(1)= 1/2	x^{2}\frac{dy}{dx}-2xy=6y^{4},y(1)=\frac{1}{2}
tangent f(x)=sqrt(x^2+33),\at x=4	tangent\:f(x)=\sqrt{x^{2}+33},\at\:x=4
(\partial)/(\partial x)(2x+4y^2)	\frac{\partial\:}{\partial\:x}(2x+4y^{2})
integral de (x+1)(x-1)	\int\:(x+1)(x-1)dx
integral de (x^2-5x+1)/(3x^2)	\int\:\frac{x^{2}-5x+1}{3x^{2}}dx
(\partial)/(\partial x)(2sin(5x)cos(4y))	\frac{\partial\:}{\partial\:x}(2\sin(5x)\cos(4y))
integral de sin^2(t)cos^2(t)	\int\:\sin^{2}(t)\cos^{2}(t)dt
derivada de x^{6cos(x})	\frac{d}{dx}(x^{6\cos(x)})
tangent 2/(1+x^2)	tangent\:\frac{2}{1+x^{2}}
y^'+y=e^{3x}	y^{\prime\:}+y=e^{3x}
derivada de 3^{x-1}	\frac{d}{dx}(3^{x-1})
integral de 1/(csc^4(3x)sec^2(3x))	\int\:\frac{1}{\csc^{4}(3x)\sec^{2}(3x)}dx
(\partial)/(\partial y)(3xye^{-x^2-y^2})	\frac{\partial\:}{\partial\:y}(3xye^{-x^{2}-y^{2}})
integral de sin(5x)sin(2x)	\int\:\sin(5x)\sin(2x)dx
(\partial)/(\partial x)(7xy^2)	\frac{\partial\:}{\partial\:x}(7xy^{2})
límite cuando x tiende a-3 de sqrt(-4x+6)	\lim\:_{x\to\:-3}(\sqrt{-4x+6})
integral de cot^4(3x)	\int\:\cot^{4}(3x)dx
derivative (x^3)/(10(x-2))	derivative\:\frac{x^{3}}{10(x-2)}
f(t)=1-t	f(t)=1-t
integral de 10cos^5(x)sin^4(x)	\int\:10\cos^{5}(x)\sin^{4}(x)dx
tangent f(x)=3+8ln(x),\at x=1	tangent\:f(x)=3+8\ln(x),\at\:x=1
derivative (2x^3)(4x^2)	derivative\:(2x^{3})(4x^{2})
integral de 0 a 7 de \|sqrt(4x+5)-x\|	\int\:_{0}^{7}\left\|\sqrt{4x+5}-x\right\|dx
derivative f(x)=(x^2-4)/x	derivative\:f(x)=\frac{x^{2}-4}{x}
integral de sqrt(1+1/4 sin^2(x))	\int\:\sqrt{1+\frac{1}{4}\sin^{2}(x)}dx
integral de e^xsqrt(e^x+1)	\int\:e^{x}\sqrt{e^{x}+1}dx
límite cuando x tiende a 6 de x^2-3x	\lim\:_{x\to\:6}(x^{2}-3x)
integral de (1/(sqrt(x-1)))	\int\:(\frac{1}{\sqrt{x-1}})dx
(\partial)/(\partial x)(e^y*sin(x))	\frac{\partial\:}{\partial\:x}(e^{y}\cdot\:\sin(x))
y^{''}+12x=0,y(0)=-4,y^'(0)=5	y^{\prime\:\prime\:}+12x=0,y(0)=-4,y^{\prime\:}(0)=5
(\partial)/(\partial x)((6y)/(x+y))	\frac{\partial\:}{\partial\:x}(\frac{6y}{x+y})
integral de e^x*(1-e^x)^{-1}	\int\:e^{x}\cdot\:(1-e^{x})^{-1}dx
derivada de 2x^3e^x	\frac{d}{dx}(2x^{3}e^{x})
derivative sqrt(3/x)	derivative\:\sqrt{\frac{3}{x}}
derivative f(x)=x^3-2x+1	derivative\:f(x)=x^{3}-2x+1
laplacetransformación-3sin(2t)	laplacetransform\:-3\sin(2t)
integral de x^{3/2}+2x+1	\int\:x^{\frac{3}{2}}+2x+1dx
xy^'+y=32sqrt(x)	xy^{\prime\:}+y=32\sqrt{x}
integral de \|x-4\|	\int\:\left\|x-4\right\|dx
derivada de x^3-5x+3	\frac{d}{dx}(x^{3}-5x+3)
límite cuando x tiende a 1-de x^{1/(1-x)}	\lim\:_{x\to\:1-}(x^{\frac{1}{1-x}})
derivative-4/((t+2)^2)	derivative\:-\frac{4}{(t+2)^{2}}
integral de (x^2-1)/(x^4-1)	\int\:\frac{x^{2}-1}{x^{4}-1}dx
integral de sec^2(x)+4	\int\:\sec^{2}(x)+4dx
integral de e^xe^x	\int\:e^{x}e^{x}dx
integral de (3x)/(x^2-x-6)	\int\:\frac{3x}{x^{2}-x-6}dx
integral de 0 a 1 de 3x(x^2+1)^4	\int\:_{0}^{1}3x(x^{2}+1)^{4}dx
x^2(dy)/(dx)+3xy=ln(x)	x^{2}\frac{dy}{dx}+3xy=\ln(x)
implicit xy=cot(xy)	implicit\:xy=\cot(xy)
integral de x/((z^2+x^2)^{3/2)}	\int\:\frac{x}{(z^{2}+x^{2})^{\frac{3}{2}}}dx
derivative y= 3/x	derivative\:y=\frac{3}{x}
integral de (6)	\int\:(6)dx
(\partial)/(\partial t)(3sqrt(s^2+t^2))	\frac{\partial\:}{\partial\:t}(3\sqrt{s^{2}+t^{2}})
integral de 0 a 3 de xe^{x/2}	\int\:_{0}^{3}xe^{\frac{x}{2}}dx
integral de 0.06e^{0.01x}	\int\:0.06e^{0.01x}dx
integral de (2x+1)/x	\int\:\frac{2x+1}{x}dx
(\partial)/(\partial y)(2xy-6y)	\frac{\partial\:}{\partial\:y}(2xy-6y)
integral de e^{-1/x}	\int\:e^{-\frac{1}{x}}dx
(\partial)/(\partial x)(f(x,y)(x+y))	\frac{\partial\:}{\partial\:x}(f(x,y)(x+y))
integral de 0 a 1 de (r^3)/(4+r^2)	\int\:_{0}^{1}\frac{r^{3}}{4+r^{2}}dr
límite cuando x tiende a 2 de (5-x)/(x-2)	\lim\:_{x\to\:2}(\frac{5-x}{x-2})
derivada de (sin(x-x)/(x^3))	\frac{d}{dx}(\frac{\sin(x)-x}{x^{3}})
límite cuando x tiende a infinity de 4e^x	\lim\:_{x\to\:\infty\:}(4e^{x})
integral de pi a infinity de sin(x)	\int\:_{π}^{\infty\:}\sin(x)dx
derivada de 16e^{-4x}	\frac{d}{dx}(16e^{-4x})
derivada de 3xln(x/2)	\frac{d}{dx}(3x\ln(\frac{x}{2}))
integral de 0.2e^{-0.2x}	\int\:0.2e^{-0.2x}dx
laplacetransformación sin(4t+pi/3)	laplacetransform\:\sin(4t+\frac{π}{3})
derivative f(x)=(x^4-2x)^5	derivative\:f(x)=(x^{4}-2x)^{5}
integral de 1/(sqrt(3x^2-12x+15))	\int\:\frac{1}{\sqrt{3x^{2}-12x+15}}dx
integral de (sqrt(x))/(x-1)	\int\:\frac{\sqrt{x}}{x-1}dx
integral de (y+4)/(y^3+2y^2+2y)	\int\:\frac{y+4}{y^{3}+2y^{2}+2y}dy
derivada de 5x^3y	\frac{d}{dx}(5x^{3}y)

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