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Problemas populares

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Problemas populares de Cálculo

serie de n=0 a infinity de (x^n)/(n^n)	\sum\:_{n=0}^{\infty\:}\frac{x^{n}}{n^{n}}
límite cuando x tiende a 0 de (4^x-3^x)/x	\lim\:_{x\to\:0}(\frac{4^{x}-3^{x}}{x})
integral de 1/3 sin(3x)	\int\:\frac{1}{3}\sin(3x)dx
derivada de x/(10sin(5x))	\frac{d}{dx}(\frac{x}{10}\sin(5x))
integral de e^{2ln(y)}*e^y	\int\:e^{2\ln(y)}\cdot\:e^{y}dy
límite cuando x tiende a-1 de (x^2-4)/(1-x)	\lim\:_{x\to\:-1}(\frac{x^{2}-4}{1-x})
derivada de 1/(-x)	\frac{d}{dx}(\frac{1}{-x})
(dy)/(dx)=2xy^{-2}	\frac{dy}{dx}=2xy^{-2}
derivative f(x)=a^8+cos^8(x)	derivative\:f(x)=a^{8}+\cos^{8}(x)
integral de 1/(1+121x^2)	\int\:\frac{1}{1+121x^{2}}dx
derivative 7xe^{6x}	derivative\:7xe^{6x}
d/(dt)(7t^2-5t+3)	\frac{d}{dt}(7t^{2}-5t+3)
derivative x^{1/2}	derivative\:x^{\frac{1}{2}}
(\partial)/(\partial x)(-2xe^{2xy})	\frac{\partial\:}{\partial\:x}(-2xe^{2xy})
límite cuando x tiende a 1 de 10sqrt(1)	\lim\:_{x\to\:1}(10\sqrt{1})
límite cuando x tiende a infinity de \sqrt[infinity ]{infinity}	\lim\:_{x\to\:\infty\:}(\sqrt[\infty\:]{\infty\:})
d/(dy)(ye^{y/x})	\frac{d}{dy}(ye^{\frac{y}{x}})
integral de 0 a 1 de 6(1+sqrt(x))^6	\int\:_{0}^{1}6(1+\sqrt{x})^{6}dx
derivative 4sin(x)	derivative\:4\sin(x)
límite cuando x tiende a 2 de-3x+1	\lim\:_{x\to\:2}(-3x+1)
(\partial)/(\partial x)(6y^4x^5-5y^3x^4)	\frac{\partial\:}{\partial\:x}(6y^{4}x^{5}-5y^{3}x^{4})
límite cuando x tiende a 0 de In(sin(x))/x	\lim\:_{x\to\:0}(In\frac{\sin(x)}{x})
derivada de 4x+(600/x+308)	\frac{d}{dx}(4x+\frac{600}{x}+308)
y^'+1/x y= 7/(x^2)+3	y^{\prime\:}+\frac{1}{x}y=\frac{7}{x^{2}}+3
límite cuando x tiende a 1 de (x-3)/(x^2-9)	\lim\:_{x\to\:1}(\frac{x-3}{x^{2}-9})
derivada de log_{4}(x^2-9x)	\frac{d}{dx}(\log_{4}(x^{2}-9x))
integral de 3/(-1-x)	\int\:\frac{3}{-1-x}dx
límite cuando x tiende a 0 de 1/2+x^2	\lim\:_{x\to\:0}(\frac{1}{2}+x^{2})
integral de 9x^2sin(pix)	\int\:9x^{2}\sin(πx)dx
d/(dt)(3t^3)	\frac{d}{dt}(3t^{3})
(\partial)/(\partial x)((x-y)/(x+y))	\frac{\partial\:}{\partial\:x}(\frac{x-y}{x+y})
derivative y= 4/3 pir^2	derivative\:y=\frac{4}{3}πr^{2}
implicit (dy)/(dx),x^3+e^{(5xy)}-4y^3=10	implicit\:\frac{dy}{dx},x^{3}+e^{(5xy)}-4y^{3}=10
integral de 6/(x^7)	\int\:\frac{6}{x^{7}}dx
integral de cot(3-7x)	\int\:\cot(3-7x)dx
derivative f(x)=((x^2-1))/(2x-3)	derivative\:f(x)=\frac{(x^{2}-1)}{2x-3}
derivada de (ln(x)^2)	\frac{d}{dx}((\ln(x))^{2})
integral de (7-98x)/(sqrt(64-49x^2))	\int\:\frac{7-98x}{\sqrt{64-49x^{2}}}dx
integral de (x^2)/(a^2)	\int\:\frac{x^{2}}{a^{2}}dx
integral de 2x*e^{4x+2}	\int\:2x\cdot\:e^{4x+2}dx
derivative (t^2+t)cos(5t)	derivative\:(t^{2}+t)\cos(5t)
y^{''}+4y^'+4y=-3e^{2t}	y^{\prime\:\prime\:}+4y^{\prime\:}+4y=-3e^{2t}
serie de n=1 a infinity de 1/(2^{n+2)}	\sum\:_{n=1}^{\infty\:}\frac{1}{2^{n+2}}
tangent f(x)=18e^x+10x,\at x=0	tangent\:f(x)=18e^{x}+10x,\at\:x=0
integral de (6x)/(x^3-8)	\int\:\frac{6x}{x^{3}-8}dx
integral de sec^2(pix)	\int\:\sec^{2}(πx)dx
integral de-1 a 1 de t(1-t)^2	\int\:_{-1}^{1}t(1-t)^{2}dt
límite cuando x tiende a 0 de x^3ln(x^2+1)	\lim\:_{x\to\:0}(x^{3}\ln(x^{2}+1))
serie de n=1 a infinity}((-3)^{n-1 de)/(8^n)	\sum\:_{n=1}^{\infty\:}\frac{(-3)^{n-1}}{8^{n}}
(\partial)/(\partial x)(4(x-1)^2)	\frac{\partial\:}{\partial\:x}(4(x-1)^{2})
serie de n=1 a infinity de nsin(1/n)	\sum\:_{n=1}^{\infty\:}n\sin(\frac{1}{n})
(\partial)/(\partial x)(2+3x+4y)	\frac{\partial\:}{\partial\:x}(2+3x+4y)
integral de 0 a 2 de (sqrt(4-x^2))	\int\:_{0}^{2}(\sqrt{4-x^{2}})dx
inversalaplace (2s)/(s^2+8s+25)	inverselaplace\:\frac{2s}{s^{2}+8s+25}
(dx)/(dt)-5x=2t	\frac{dx}{dt}-5x=2t
laplacetransformación 10x	laplacetransform\:10x
implicit (dx)/(dy),xy=1	implicit\:\frac{dx}{dy},xy=1
integral de x^2+1+1/(x^2+1)	\int\:x^{2}+1+\frac{1}{x^{2}+1}dx
integral de (9/(x^2+9))^2	\int\:(\frac{9}{x^{2}+9})^{2}dx
(dy)/(dx)+2xy=2xe^{-x^2}	\frac{dy}{dx}+2xy=2xe^{-x^{2}}
y^'+2xy=4x	y^{\prime\:}+2xy=4x
f(r)= 7/(r^3)	f(r)=\frac{7}{r^{3}}
integral de 3xsqrt(5-2x^2)	\int\:3x\sqrt{5-2x^{2}}dx
integral de cos(y^2)	\int\:\cos(y^{2})dy
inversalaplace (e^{-2s})/(s(s+1))	inverselaplace\:\frac{e^{-2s}}{s(s+1)}
x*(dy)/(dx)=-y+2x^2y	x\cdot\:\frac{dy}{dx}=-y+2x^{2}y
(\partial)/(\partial y)(x^2+2y^2-1)	\frac{\partial\:}{\partial\:y}(x^{2}+2y^{2}-1)
integral de (9x^8+8)/(x^9+8x)	\int\:\frac{9x^{8}+8}{x^{9}+8x}dx
(\partial)/(\partial x)(2xe^{x^2+y^2})	\frac{\partial\:}{\partial\:x}(2xe^{x^{2}+y^{2}})
8y^{''}+32y^'=0,y(2)=1,y^'(-1)=1	8y^{\prime\:\prime\:}+32y^{\prime\:}=0,y(2)=1,y^{\prime\:}(-1)=1
derivative (x^2)/(2+x)	derivative\:\frac{x^{2}}{2+x}
(dx)/(dy)=(4x+2y+1)	\frac{dx}{dy}=(4x+2y+1)
derivative y=(8x^2-16x+16)e^x	derivative\:y=(8x^{2}-16x+16)e^{x}
derivada de (4x/(x+1))	\frac{d}{dx}(\frac{4x}{x+1})
(\partial)/(\partial y)(e^{y/x})	\frac{\partial\:}{\partial\:y}(e^{\frac{y}{x}})
integral de xsqrt((8-5x^2)^3)	\int\:x\sqrt{(8-5x^{2})^{3}}dx
derivative x^3-sqrt(x)	derivative\:x^{3}-\sqrt{x}
(\partial)/(\partial x)((3x)/(y^2))	\frac{\partial\:}{\partial\:x}(\frac{3x}{y^{2}})
integral de sin(4x)cos(2x)	\int\:\sin(4x)\cos(2x)dx
derivada de (6(x-3^2)/(3(x^2-3x-4)))	\frac{d}{dx}(\frac{6(x-3)^{2}}{3(x^{2}-3x-4)})
derivative (9cos(x))/(1+sin(x))	derivative\:\frac{9\cos(x)}{1+\sin(x)}
inversalaplace 1/(s-3)-(16)/(s^2+9)	inverselaplace\:\frac{1}{s-3}-\frac{16}{s^{2}+9}
límite cuando x tiende a 6 de ln(x-6)	\lim\:_{x\to\:6}(\ln(x-6))
derivative y=(3x^2+4)(3+x^3)^5	derivative\:y=(3x^{2}+4)(3+x^{3})^{5}
área 17x,x^2	area\:17x,x^{2}
derivative f(x)= 1/(\sqrt[3]{x)}	derivative\:f(x)=\frac{1}{\sqrt[3]{x}}
derivative e^{x^3+10x}	derivative\:e^{x^{3}+10x}
integral de (ln(sqrt(9x)))/x	\int\:\frac{\ln(\sqrt{9x})}{x}dx
(d^3)/(dx^3)(x(2x+1)^3)	\frac{d^{3}}{dx^{3}}(x(2x+1)^{3})
derivative-ln(x)	derivative\:-\ln(x)
derivada de (x-2x^3)	\frac{d}{dx}((x-2)x^{3})
tangent f(x)=14-x^2,(2,10)	tangent\:f(x)=14-x^{2},(2,10)
taylor f(x)=x^3+9x-1	taylor\:f(x)=x^{3}+9x-1
serie de n=1 a infinity de (e^n)/(n^n)	\sum\:_{n=1}^{\infty\:}\frac{e^{n}}{n^{n}}
integral de-4 a 0 de sqrt(16-x^2)	\int\:_{-4}^{0}\sqrt{16-x^{2}}dx
(dy)/(dx)=(x+1)^3	\frac{dy}{dx}=(x+1)^{3}
integral de (x+1)sqrt(x+6)	\int\:(x+1)\sqrt{x+6}dx
integral de 8\sqrt[3]{x}	\int\:8\sqrt[3]{x}dx
integral de 3sec^6(t)	\int\:3\sec^{6}(t)dt
(\partial)/(\partial x)(3cos^2(x))	\frac{\partial\:}{\partial\:x}(3\cos^{2}(x))

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