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Problemas populares

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Problemas populares de Cálculo

integral de 1/((1+5x)sqrt(5x))	\int\:\frac{1}{(1+5x)\sqrt{5x}}dx
derivada de 3/(x^2-4/(x^3))	\frac{d}{dx}(\frac{3}{x^{2}}-\frac{4}{x^{3}})
integral de 0 a 1 de (ln(x))/(5x)	\int\:_{0}^{1}\frac{\ln(x)}{5x}dx
y=2(x+y)(dy)/(dx)	y=2(x+y)\frac{dy}{dx}
derivative x^{5/4}	derivative\:x^{\frac{5}{4}}
derivada de (sin(x+cos(x))^3)	\frac{d}{dx}((\sin(x)+\cos(x))^{3})
derivative (1/2 x)^3	derivative\:(\frac{1}{2}x)^{3}
derivada de (3x^2+4x+1^{10})	\frac{d}{dx}((3x^{2}+4x+1)^{10})
integral de 4 a 8 de x/(x^2+6x+13)	\int\:_{4}^{8}\frac{x}{x^{2}+6x+13}dx
derivada de 1/a sin(b+ax)	\frac{d}{dx}(\frac{1}{a}\sin(b+ax))
integral de e^{5x}cos(x)	\int\:e^{5x}\cos(x)dx
(dy)/(dx)=(((2y+5))/(8x+9))^2	\frac{dy}{dx}=(\frac{(2y+5)}{8x+9})^{2}
derivada de (8sqrt(x)+1/(x^{-5)})	\frac{d}{dx}(\frac{8\sqrt{x}+1}{x^{-5}})
integral de x^{n+2}	\int\:x^{n+2}dx
integral de (4x^2+9x+4)/((x^2+1)^2)	\int\:\frac{4x^{2}+9x+4}{(x^{2}+1)^{2}}dx
integral de ((1+x)^2)/(sqrt(x))	\int\:\frac{(1+x)^{2}}{\sqrt{x}}dx
integral de+1/(x^2+a^2)	\int\:+\frac{1}{x^{2}+a^{2}}dx
(dy)/(dx)=sqrt(4y)e^{x+4}	\frac{dy}{dx}=\sqrt{4y}e^{x+4}
(x+y)dy=(x-y)dx	(x+y)dy=(x-y)dx
tangent f(x)=x^4-13x^2+36,\at x=-2	tangent\:f(x)=x^{4}-13x^{2}+36,\at\:x=-2
derivada de 5x^3-5x	\frac{d}{dx}(5x^{3}-5x)
(\partial)/(\partial x)(cos(0.6x-t))	\frac{\partial\:}{\partial\:x}(\cos(0.6x-t))
integral de (300)/(sqrt(2x+25))	\int\:\frac{300}{\sqrt{2x+25}}dx
(\partial)/(\partial x)(sin(y/x))	\frac{\partial\:}{\partial\:x}(\sin(\frac{y}{x}))
límite cuando x tiende a-2 de 2x^3-x^2+7x-3	\lim\:_{x\to\:-2}(2x^{3}-x^{2}+7x-3)
pendiente (2.6)(-2.6)	slope\:(2.6)(-2.6)
límite cuando x tiende a 2 de (2/x-1)/(2-x)	\lim\:_{x\to\:2}(\frac{\frac{2}{x}-1}{2-x})
integral de (x^2-2x-1)/((x-1)^2(x^2+1))	\int\:\frac{x^{2}-2x-1}{(x-1)^{2}(x^{2}+1)}dx
integral de ((e^{2x}))/(sqrt(e^x+1))	\int\:\frac{(e^{2x})}{\sqrt{e^{x}+1}}dx
derivada de 7x^5	\frac{d}{dx}(7x^{5})
derivative (x-3xsqrt(x))/(sqrt(x))	derivative\:\frac{x-3x\sqrt{x}}{\sqrt{x}}
derivada de (cos(x)/(-2sin(2x)))	\frac{d}{dx}(\frac{\cos(x)}{-2\sin(2x)})
integral de 9/(x^3)	\int\:\frac{9}{x^{3}}dx
(\partial)/(\partial r)(z)	\frac{\partial\:}{\partial\:r}(z)
derivada de 2/3 (x+3^{3/2})	\frac{d}{dx}(\frac{2}{3}(x+3)^{\frac{3}{2}})
13xdx=127(92)ydy	13xdx=127(92)ydy
x^'=1-x^2	x^{\prime\:}=1-x^{2}
integral de sqrt(3-4x^2)	\int\:\sqrt{3-4x^{2}}dx
integral de 12cos(x)	\int\:12\cos(x)dx
integral de (x^3-9x^2-1)/(x^2(x+1)(x-2))	\int\:\frac{x^{3}-9x^{2}-1}{x^{2}(x+1)(x-2)}dx
derivada de a(2xe^{5x}+e^{5x}*5x^2)	\frac{d}{dx}(a(2xe^{5x}+e^{5x}\cdot\:5x^{2}))
(\partial)/(\partial x)(e^{(xy)/(z^2)})	\frac{\partial\:}{\partial\:x}(e^{\frac{xy}{z^{2}}})
y^{''}=(2k)/(1-k)	y^{\prime\:\prime\:}=\frac{2k}{1-k}
derivada de x^2ln\|x\|	\frac{d}{dx}(x^{2}\ln\left\|x\right\|)
derivative f(x)=(x^2+2x)/((x+1)^2)	derivative\:f(x)=\frac{x^{2}+2x}{(x+1)^{2}}
(\partial)/(\partial x)(4e^{yz}cos(xyz))	\frac{\partial\:}{\partial\:x}(4e^{yz}\cos(xyz))
límite cuando x tiende a 7 de (-2)/(7-x)	\lim\:_{x\to\:7}(\frac{-2}{7-x})
tangent y=(6x)/(x+2),(4,4)	tangent\:y=\frac{6x}{x+2},(4,4)
límite cuando x tiende a 2 de sqrt(x+3)	\lim\:_{x\to\:2}(\sqrt{x+3})
integral de ((x-2))/(x^2-7x+12)	\int\:\frac{(x-2)}{x^{2}-7x+12}dx
integral de 1/(xlog_{10)(x)}	\int\:\frac{1}{x\log_{10}(x)}dx
integral de (-18x^2-10)csc^2(3x^3+5x)	\int\:(-18x^{2}-10)\csc^{2}(3x^{3}+5x)dx
derivada de (2xsin(x)/(1+cos(x)))	\frac{d}{dx}(\frac{2x\sin(x)}{1+\cos(x)})
integral de 3x^2+e^y	\int\:3x^{2}+e^{y}dy
derivada de-2x+7	\frac{d}{dx}(-2x+7)
derivative 4e^{-x}	derivative\:4e^{-x}
serie de n=3 a infinity de (4/11)^{-n}	\sum\:_{n=3}^{\infty\:}(\frac{4}{11})^{-n}
área (x)^{(1/2)},-x^2,0,(1)	area\:(x)^{(\frac{1}{2})},-x^{2},0,(1)
integral de 10xsqrt(x)	\int\:10x\sqrt{x}dx
integral de (-1(x-9))/((x+5)(x-2))	\int\:\frac{-1(x-9)}{(x+5)(x-2)}dx
y^'+xy=-x^3	y^{\prime\:}+xy=-x^{3}
(d^2)/(dx^2)(x^5e^x)	\frac{d^{2}}{dx^{2}}(x^{5}e^{x})
(d^2)/(dx^2)(x^x)	\frac{d^{2}}{dx^{2}}(x^{x})
normal f(x)=x^3+4x-3,(-1,-1)	normal\:f(x)=x^{3}+4x-3,(-1,-1)
derivative y=7sqrt(x)	derivative\:y=7\sqrt{x}
límite cuando x tiende a-infinity de 3^x	\lim\:_{x\to\:-\infty\:}(3^{x})
límite cuando x tiende a 2 de-((x+3)/(x-2))	\lim\:_{x\to\:2}(-(\frac{x+3}{x-2}))
integral de+(sin^2(1/t))/(t^2)	\int\:+\frac{\sin^{2}(\frac{1}{t})}{t^{2}}dt
serie de n=1 a infinity de (n!)/(n3^n)	\sum\:_{n=1}^{\infty\:}\frac{n!}{n3^{n}}
(\partial)/(\partial z)(x^2+y^2-z)	\frac{\partial\:}{\partial\:z}(x^{2}+y^{2}-z)
derivada de (5tan(x)/x)	\frac{d}{dx}(\frac{5\tan(x)}{x})
integral de 7/(5y-105)	\int\:\frac{7}{5y-105}dy
(\partial)/(\partial x)(x^2+xy-25)	\frac{\partial\:}{\partial\:x}(x^{2}+xy-25)
integral de a a 2a de x	\int\:_{a}^{2a}xdx
integral de t^2-4	\int\:t^{2}-4dt
derivada de x+x^3	\frac{d}{dx}(x+x^{3})
derivada de 2sqrt(x)+1/(3x^3)	\frac{d}{dx}(2\sqrt{x}+\frac{1}{3x^{3}})
taylor x+(x^3)/3-tan(x)	taylor\:x+\frac{x^{3}}{3}-\tan(x)
límite cuando x tiende a infinity de ((e^x+e^{-x}))/2	\lim\:_{x\to\:\infty\:}(\frac{(e^{x}+e^{-x})}{2})
derivada de x^2arctan(2x)	\frac{d}{dx}(x^{2}\arctan(2x))
derivada de 4sin(x-4xcos(x))	\frac{d}{dx}(4\sin(x)-4x\cos(x))
serie de n=3 a infinity de 1/(n^2+3n)	\sum\:_{n=3}^{\infty\:}\frac{1}{n^{2}+3n}
(\partial)/(\partial x)(sqrt(5x+y))	\frac{\partial\:}{\partial\:x}(\sqrt{5x+y})
límite cuando x tiende a-1 de x/(x^2+x)	\lim\:_{x\to\:-1}(\frac{x}{x^{2}+x})
derivative f(x)=e^{x^2-6}	derivative\:f(x)=e^{x^{2}-6}
límite cuando x tiende a 0 de x*(ln(x))^2	\lim\:_{x\to\:0}(x\cdot\:(\ln(x))^{2})
(\partial)/(\partial x)(2sin(2x)cos(2y))	\frac{\partial\:}{\partial\:x}(2\sin(2x)\cos(2y))
(\partial)/(\partial x)(1/(x+1))	\frac{\partial\:}{\partial\:x}(\frac{1}{x+1})
integral de (2t^2-1)^2	\int\:(2t^{2}-1)^{2}dt
derivative 2(sqrt(x))+1	derivative\:2(\sqrt{x})+1
área-7x^2+63,-x^2+9	area\:-7x^{2}+63,-x^{2}+9
límite cuando x tiende a-1 de (1-x^2)/(x+1)	\lim\:_{x\to\:-1}(\frac{1-x^{2}}{x+1})
integral de (4x^3-1)^2	\int\:(4x^{3}-1)^{2}dx
derivative f(x)=x^{1/5}	derivative\:f(x)=x^{\frac{1}{5}}
simplificar (x+1)/(sqrt(x^2+1))	simplify\:\frac{x+1}{\sqrt{x^{2}+1}}
((dy)/(dx))=(((x-y^2))/((2xy+y)))	(\frac{dy}{dx})=(\frac{(x-y^{2})}{(2xy+y)})
integral de (x-arctan(x))/(1+x^2)	\int\:\frac{x-\arctan(x)}{1+x^{2}}dx
límite cuando x tiende a 2-de 8x-x^4	\lim\:_{x\to\:2-}(8x-x^{4})
integral de (e^{(-1)/x})/(x^2)	\int\:\frac{e^{\frac{-1}{x}}}{x^{2}}dx
d/(dy)(-y/((x+2)^2))	\frac{d}{dy}(-\frac{y}{(x+2)^{2}})

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