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Problemas populares

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Problemas populares de Cálculo

derivada de (10x-2x^2(16-2x))	\frac{d}{dx}((10x-2x^{2})(16-2x))
y^'+2xy^2=0	y^{\prime\:}+2xy^{2}=0
integral de pi/(1.2-2x)	\int\:\frac{π}{1.2-2x}dx
derivada de sqrt(18-x^2)-x	\frac{d}{dx}(\sqrt{18-x^{2}}-x)
área f(x)=10x-x^2,g(x)=3x	area\:f(x)=10x-x^{2},g(x)=3x
serie de n=1 a infinity}((4^{n+1 de))/(5^n)	\sum\:_{n=1}^{\infty\:}\frac{(4^{n+1})}{5^{n}}
tangent f(x)= 1/3 x^3-5x^2+26x+23	tangent\:f(x)=\frac{1}{3}x^{3}-5x^{2}+26x+23
integral de y^2-x^2	\int\:y^{2}-x^{2}dx
f(x)= 1/(x^2)+5 1/(x^3)	f(x)=\frac{1}{x^{2}}+5\frac{1}{x^{3}}
(\partial)/(\partial t)(te^t+2)	\frac{\partial\:}{\partial\:t}(te^{t}+2)
derivative f(x)=sqrt(3x^2-5x+6)	derivative\:f(x)=\sqrt{3x^{2}-5x+6}
derivada de (e^x^{cos(x)})	\frac{d}{dx}((e^{x})^{\cos(x)})
d/(dz)(z^5-e^zln(z))	\frac{d}{dz}(z^{5}-e^{z}\ln(z))
integral de 2+6x-3x^2	\int\:2+6x-3x^{2}dx
integral de (3x^2)/(x^2+2x+1)	\int\:\frac{3x^{2}}{x^{2}+2x+1}dx
límite cuando x tiende a 0 de (sqrt(x^2))/x	\lim\:_{x\to\:0}(\frac{\sqrt{x^{2}}}{x})
derivada de 1/(x+sqrt(x))	\frac{d}{dx}(\frac{1}{x+\sqrt{x}})
derivative (125)/(x^2+49)	derivative\:\frac{125}{x^{2}+49}
integral de x^2sqrt(4x+6)	\int\:x^{2}\sqrt{4x+6}dx
integral de 3z^2sin(x)-4	\int\:3z^{2}\sin(x)-4dz
derivative f(x)=4x^{5x}	derivative\:f(x)=4x^{5x}
y^'+ycos(x)=2cos(x),y(0)=4	y^{\prime\:}+y\cos(x)=2\cos(x),y(0)=4
integral de x^3e^{2x^2}	\int\:x^{3}e^{2x^{2}}dx
derivada de e^{sin(x+cos(x)})	\frac{d}{dx}(e^{\sin(x)+\cos(x)})
derivada de sqrt((sin(20x)^3))	\frac{d}{dx}(\sqrt{(\sin(20x))^{3}})
tangent sqrt(x+3)	tangent\:\sqrt{x+3}
integral de-1 a-4 de (1-x^4)/(x^2)	\int\:_{-1}^{-4}\frac{1-x^{4}}{x^{2}}dx
taylor 1/(sqrt(x))	taylor\:\frac{1}{\sqrt{x}}
taylor x/(1-x)	taylor\:\frac{x}{1-x}
(de)/(dx)	\frac{de}{dx}
derivada de (3x^2-12/(8x))	\frac{d}{dx}(\frac{3x^{2}-12}{8x})
integral de+ln(3)e^x	\int\:+\ln(3)e^{x}dx
integral de 3x-1	\int\:3x-1dx
integral de se^{-sxy}	\int\:se^{-sxy}dx
derivative (5-xe^x)/(x+e^x)	derivative\:\frac{5-xe^{x}}{x+e^{x}}
integral de ((3x^3-4x^2+3x))/(x^2+1)	\int\:\frac{(3x^{3}-4x^{2}+3x)}{x^{2}+1}dx
límite cuando z tiende a 1 de Arg(z)	\lim\:_{z\to\:1}(Arg(z))
derivative (7x^2-6x+4)/(3x+8)	derivative\:\frac{7x^{2}-6x+4}{3x+8}
integral de 1/(x^2+8x+116)	\int\:\frac{1}{x^{2}+8x+116}dx
f^'(x)=0.6x^{1.5}	f^{\prime\:}(x)=0.6x^{1.5}
(\partial)/(\partial x)(sqrt(x^2+y^2-4x+5))	\frac{\partial\:}{\partial\:x}(\sqrt{x^{2}+y^{2}-4x+5})
tangent f(x)=sqrt(3x+7),\at x=3	tangent\:f(x)=\sqrt{3x+7},\at\:x=3
(x-8)*(dy)/(dx)+y=(x^2-3)	(x-8)\cdot\:\frac{dy}{dx}+y=(x^{2}-3)
(\partial)/(\partial x)((4y)/(x^3))	\frac{\partial\:}{\partial\:x}(\frac{4y}{x^{3}})
serie de n=0 a infinity de infinity	\sum\:_{n=0}^{\infty\:}\infty\:
inversalaplace (s+1)/(s^2+2s+10)	inverselaplace\:\frac{s+1}{s^{2}+2s+10}
integral de (2x^2-x+2)/(x^5+2x^3+x)	\int\:\frac{2\cdot\:x^{2}-x+2}{x^{5}+2\cdot\:x^{3}+x}dx
integral de-x^2-4x	\int\:-x^{2}-4xdx
integral de (tan(x))^3sec(x)	\int\:(\tan(x))^{3}\sec(x)dx
integral de 84	\int\:84dx
derivative 3^{sin(3x)}	derivative\:3^{\sin(3x)}
(\partial)/(\partial x)(7ln((2xy)/(5z)))	\frac{\partial\:}{\partial\:x}(7\ln(\frac{2xy}{5z}))
(\partial ^2)/(\partial x^2)(x/(x^2+y^2))	\frac{\partial\:^{2}}{\partial\:x^{2}}(\frac{x}{x^{2}+y^{2}})
integral de 2xe^{7x}	\int\:2xe^{7x}dx
integral de-2x+9x^2-4x^3+14	\int\:-2x+9x^{2}-4x^{3}+14dx
derivative 10e^{x^2}x	derivative\:10e^{x^{2}}x
(\partial)/(\partial x)((x^2+y^2+z^2)^{n/2})	\frac{\partial\:}{\partial\:x}((x^{2}+y^{2}+z^{2})^{\frac{n}{2}})
integral de 1/(sin^2(x)+1)	\int\:\frac{1}{\sin^{2}(x)+1}dx
(\partial)/(\partial x)(2sqrt(1-y^2))	\frac{\partial\:}{\partial\:x}(2\sqrt{1-y^{2}})
(14+x)(dy)/(dx)=5y	(14+x)\frac{dy}{dx}=5y
(dy)/(dx)=((x-1))/(y-1)	\frac{dy}{dx}=\frac{(x-1)}{y-1}
(dv}{dt}-\frac{4v)/t =8t^3	\frac{dv}{dt}-\frac{4v}{t}=8t^{3}
integral de 1-y	\int\:1-ydy
derivada de-(x+1)	\frac{d}{dx}(-(x+1))
derivada de (x^2/(1+4x))	\frac{d}{dx}(\frac{x^{2}}{1+4x})
integral de-1 a 3 de sqrt(1+(6y+2)^2)	\int\:_{-1}^{3}\sqrt{1+(6y+2)^{2}}dy
integral de (a+bx^3)^2	\int\:(a+bx^{3})^{2}dx
derivada de xarccos(x)	\frac{d}{dx}(x\arccos(x))
derivada de-cos(\sqrt[3]{x}-3+pi/2)	\frac{d}{dx}(-\cos(\sqrt[3]{x}-3+\frac{π}{2}))
límite cuando x tiende a 1-de sqrt(1-x)	\lim\:_{x\to\:1-}(\sqrt{1-x})
límite cuando x tiende a 4 de (x-4)/(2-sqrt(8-x))	\lim\:_{x\to\:4}(\frac{x-4}{2-\sqrt{8-x}})
derivative f(x)=5csc(x)	derivative\:f(x)=5\csc(x)
área x,2-x^2	area\:x,2-x^{2}
inversalaplace 1/(s(s-2.84)(s+0.46))	inverselaplace\:\frac{1}{s(s-2.84)(s+0.46)}
integral de sin^4(7x-2)	\int\:\sin^{4}(7x-2)dx
3y^{''}-2y^'-8y=0	3y^{\prime\:\prime\:}-2y^{\prime\:}-8y=0
3y^{''}+7y^'+2y=3x^2+3x+1,y(0)=0,y^'(0)=0	3y^{\prime\:\prime\:}+7y^{\prime\:}+2y=3x^{2}+3x+1,y(0)=0,y^{\prime\:}(0)=0
derivative 7sqrt(x)sin(x)	derivative\:7\sqrt{x}\sin(x)
integral de 8/(x^2-2x+2)	\int\:\frac{8}{x^{2}-2x+2}dx
(\partial)/(\partial x)(xy-x-3y)	\frac{\partial\:}{\partial\:x}(xy-x-3y)
integral de (1+sin(x))/(1+sin(x)-cos(x))	\int\:\frac{1+\sin(x)}{1+\sin(x)-\cos(x)}dx
integral de 7/(x^3)	\int\:\frac{7}{x^{3}}dx
derivative y=x^{10}e^x	derivative\:y=x^{10}e^{x}
y^{''}-5y^'+6y=t^2	y^{\prime\:\prime\:}-5y^{\prime\:}+6y=t^{2}
2xydx-(1+y)dy=0	2xydx-(1+y)dy=0
integral de (3x)/(5x^2-1)	\int\:\frac{3x}{5x^{2}-1}dx
integral de 5sqrt(x)	\int\:5\sqrt{x}dx
d/(dt)(6e^t)	\frac{d}{dt}(6e^{t})
cos(x)cos(y)dx+sin(x)sin(y)dy=0	\cos(x)\cos(y)dx+\sin(x)\sin(y)dy=0
integral de 1/((u^2+1)^2)	\int\:\frac{1}{(u^{2}+1)^{2}}du
integral de (3x^3)	\int\:(3x^{3})dx
límite cuando x tiende a 0 de (4-x)/2	\lim\:_{x\to\:0}(\frac{4-x}{2})
inversalaplace 1/(s^2(s^2+2^2))	inverselaplace\:\frac{1}{s^{2}(s^{2}+2^{2})}
y^{''}+y=tan(t)	y^{\prime\:\prime\:}+y=\tan(t)
derivative-9x^3	derivative\:-9x^{3}
(\partial)/(\partial x)(sin(ye^{10x}))	\frac{\partial\:}{\partial\:x}(\sin(ye^{10x}))
límite cuando x tiende a-2 de 12x+11	\lim\:_{x\to\:-2}(12x+11)
derivative (12)/x	derivative\:\frac{12}{x}
derivative (-3x^2-2)^4	derivative\:(-3x^{2}-2)^{4}
derivative (x-cos(x))/(x^2+cot(x))	derivative\:\frac{x-\cos(x)}{x^{2}+\cot(x)}

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