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Problemas populares

Temas

Problemas populares de Cálculo

serie de n=1 a infinity de 1/(n3^n)	\sum\:_{n=1}^{\infty\:}\frac{1}{n3^{n}}
inversalaplace {1/(s^3)}	inverselaplace\:\left\{\frac{1}{s^{3}}\right\}
integral de sin^3(15x)	\int\:\sin^{3}(15x)dx
inversalaplace 1/((s^2+1))	inverselaplace\:\frac{1}{(s^{2}+1)}
derivative f(x)=4ln(x)	derivative\:f(x)=4\ln(x)
derivative f(x)= 6/(4x+1)	derivative\:f(x)=\frac{6}{4x+1}
límite cuando x tiende a-3.1 de f(x)	\lim\:_{x\to\:-3.1}(f(x))
derivada de (432/((1+6x)^3))	\frac{d}{dx}(\frac{432}{(1+6x)^{3}})
taylor e^x,x=1	taylor\:e^{x},x=1
derivada de \sqrt[3]{(5x+pi^2^4})	\frac{d}{dx}(\sqrt[3]{(5x+π^{2})^{4}})
límite cuando x tiende a 0 de x^3+5	\lim\:_{x\to\:0}(x^{3}+5)
inversalaplace 3/((s^2+4s+13))	inverselaplace\:\frac{3}{(s^{2}+4s+13)}
(dy)/(dx)-(sin(x))y=2sin(x)	\frac{dy}{dx}-(\sin(x))y=2\sin(x)
f(x)=cos^2(x)-2sin(x)	f(x)=\cos^{2}(x)-2\sin(x)
integral de 0 a infinity de cos(pix)	\int\:_{0}^{\infty\:}\cos(πx)dx
integral de 8cos^2(x)	\int\:8\cos^{2}(x)dx
(1xy^2+4y)dx+(1x^2y+4x)dy=0	(1xy^{2}+4y)dx+(1x^{2}y+4x)dy=0
derivative y=x^2-6x+9	derivative\:y=x^{2}-6x+9
derivada de ax^2+bx	\frac{d}{dx}(ax^{2}+bx)
integral de 1 a 2 de (1/8+3/8 x)	\int\:_{1}^{2}(\frac{1}{8}+\frac{3}{8}x)dx
derivative f(x)=(cos(x))/(x^4)	derivative\:f(x)=\frac{\cos(x)}{x^{4}}
límite cuando x tiende a-2-de (x-3)/(x^2-4)	\lim\:_{x\to\:-2-}(\frac{x-3}{x^{2}-4})
integral de sin(ax)cos(a)x	\int\:\sin(ax)\cos(a)xdx
derivada de x^2arctan(5x+ln(1+4x^2))	\frac{d}{dx}(x^{2}\arctan(5x)+\ln(1+4x^{2}))
derivada de 9sin(4x)	\frac{d}{dx}(9\sin(4x))
derivative (36)/((1+3x)^3)	derivative\:\frac{36}{(1+3x)^{3}}
integral de (26)/((x^2-1)^2)	\int\:\frac{26}{(x^{2}-1)^{2}}dx
inversalaplace (0.07s)/(7s^2+19980)	inverselaplace\:\frac{0.07s}{7s^{2}+19980}
área e^{-7x},x>= 0	area\:e^{-7x},x\ge\:0
derivada de (e^x/(2x^2+1))	\frac{d}{dx}(\frac{e^{x}}{2x^{2}+1})
(dy)/(dx)+x^2y=10x^2,y(1)=5	\frac{dy}{dx}+x^{2}y=10x^{2},y(1)=5
integral de-infinity a 0 de 1/(5-2x)	\int\:_{-\infty\:}^{0}\frac{1}{5-2x}dx
derivative (3x)/(7x^2+1)	derivative\:\frac{3x}{7x^{2}+1}
serie de n=1 a infinity de 5/(6n+4)	\sum\:_{n=1}^{\infty\:}\frac{5}{6n+4}
(\partial)/(\partial x)(sqrt(16-x^2))	\frac{\partial\:}{\partial\:x}(\sqrt{16-x^{2}})
derivative f(x)=(cos(x))/(2+sin(x))	derivative\:f(x)=\frac{\cos(x)}{2+\sin(x)}
y^{''}-2y^'-3y=10e^{4x}	y^{\prime\:\prime\:}-2y^{\prime\:}-3y=10e^{4x}
derivative f(x)= x/(x^2+7x+6)	derivative\:f(x)=\frac{x}{x^{2}+7x+6}
laplacetransformación 3+t	laplacetransform\:3+t
derivative y=sqrt(x^2+4)	derivative\:y=\sqrt{x^{2}+4}
(dy)/(dx)=(x-3)e^{(-2y)}	\frac{dy}{dx}=(x-3)e^{(-2y)}
derivada de (e^{3x}sin(2x)/(5^x))	\frac{d}{dx}(\frac{e^{3x}\sin(2x)}{5^{x}})
integral de (cot(x))/(1-sin(x))	\int\:\frac{\cot(x)}{1-\sin(x)}dx
-4t^2y^{''}+5ty^'-2y=0	-4t^{2}y^{\prime\:\prime\:}+5ty^{\prime\:}-2y=0
integral de (sec^2(1/(x^9)))/(x^{10)}	\int\:\frac{\sec^{2}(\frac{1}{x^{9}})}{x^{10}}dx
integral de 1/(x*ln(x^6))	\int\:\frac{1}{x\cdot\:\ln(x^{6})}dx
x^{''}+16x=0	x^{\prime\:\prime\:}+16x=0
integral de 1 a 2 de (3x-1)/(3x)	\int\:_{1}^{2}\frac{3x-1}{3x}dx
integral de 8/(x^2sqrt(4-x^2))	\int\:\frac{8}{x^{2}\sqrt{4-x^{2}}}dx
integral de csc(v)	\int\:\csc(v)dv
derivative y=sin^3(x)	derivative\:y=\sin^{3}(x)
(\partial)/(\partial x)(b/(2b-k^2-1-2k*x))	\frac{\partial\:}{\partial\:x}(\frac{b}{2b-k^{2}-1-2k\cdot\:x})
integral de 2sin^2(xco)s^2x	\int\:2\sin^{2}(xco)s^{2}xdx
derivative 7sec(x)tan(x)	derivative\:7\sec(x)\tan(x)
y^'=([xy^2+(y)e^x])/(e^x)	y^{\prime\:}=\frac{[xy^{2}+(y)e^{x}]}{e^{x}}
derivada de x/(x^{-1+10})	\frac{d}{dx}(\frac{x}{x^{-1}+10})
derivative f(x)=(5^x)/(x^5)	derivative\:f(x)=\frac{5^{x}}{x^{5}}
derivada de sin((pix/7))	\frac{d}{dx}(\sin(\frac{πx}{7}))
integral de 2sqrt(x-1)	\int\:2\sqrt{x-1}dx
integral de t^3e^{-3t}	\int\:t^{3}e^{-3t}dt
integral de (3x+x/((x^2+2)^{4/3)})	\int\:(3x+\frac{x}{(x^{2}+2)^{\frac{4}{3}}})dx
derivative f(x)=3cos(x)	derivative\:f(x)=3\cos(x)
límite cuando x tiende a 0+de 3sin(x)ln(x)	\lim\:_{x\to\:0+}(3\sin(x)\ln(x))
derivada de sqrt(x)+(x^6^3)	\frac{d}{dx}(\sqrt{x}+(x^{6})^{3})
derivative y=(3x^5+7)/(x^3)	derivative\:y=\frac{3x^{5}+7}{x^{3}}
t^2(dx)/(dt)=2tx+1	t^{2}\frac{dx}{dt}=2tx+1
integral de 1/(x^2(1+1/x)^3)	\int\:\frac{1}{x^{2}(1+\frac{1}{x})^{3}}dx
derivada de 2x^3-3x^2-36x+5	\frac{d}{dx}(2x^{3}-3x^{2}-36x+5)
integral de 0 a 1 de 5x^4e^{-x}	\int\:_{0}^{1}5x^{4}e^{-x}dx
integral de 4/(x^2-14x+49)	\int\:\frac{4}{x^{2}-14x+49}dx
(\partial)/(\partial x)(cos^2(5x))	\frac{\partial\:}{\partial\:x}(\cos^{2}(5x))
derivada de x^{-3/7}	\frac{d}{dx}(x^{-\frac{3}{7}})
5y^{''}+y^'=-6x,y(0)=0,y^'(0)=-20	5y^{\prime\:\prime\:}+y^{\prime\:}=-6x,y(0)=0,y^{\prime\:}(0)=-20
tangent f(x)=6tan(x),\at x= pi/3	tangent\:f(x)=6\tan(x),\at\:x=\frac{π}{3}
integral de sin^3(2x)cos^8(2x)	\int\:\sin^{3}(2x)\cos^{8}(2x)dx
(\partial)/(\partial x)(x^3y^4)	\frac{\partial\:}{\partial\:x}(x^{3}y^{4})
derivative (sqrt(x)-4)/(sqrt(x)+4)	derivative\:\frac{\sqrt{x}-4}{\sqrt{x}+4}
(\partial)/(\partial x)((x^2+y^2)ln(xy)+5y^5e^{3x^4y})	\frac{\partial\:}{\partial\:x}((x^{2}+y^{2})\ln(xy)+5y^{5}e^{3x^{4}y})
tangent sqrt(x+2)	tangent\:\sqrt{x+2}
límite cuando x tiende a-2+de sqrt(-x-2)+4	\lim\:_{x\to\:-2+}(\sqrt{-x-2}+4)
(\partial)/(\partial x)(sqrt(3-x^2-y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{3-x^{2}-y^{2}})
derivada de x*sqrt(x^2-1)	\frac{d}{dx}(x\cdot\:\sqrt{x^{2}-1})
derivada de 1/(log_{10(x)})	\frac{d}{dx}(\frac{1}{\log_{10}(x)})
(\partial)/(\partial y)(4x^3y^3-1)	\frac{\partial\:}{\partial\:y}(4x^{3}y^{3}-1)
integral de (4+x+x^2)/(sqrt(x))	\int\:\frac{4+x+x^{2}}{\sqrt{x}}dx
y^'=-y/(100),y(0)=80	y^{\prime\:}=-\frac{y}{100},y(0)=80
derivada de 2/(cos(x))	\frac{d}{dx}(\frac{2}{\cos(x)})
derivada de 10^x+10x	\frac{d}{dx}(10^{x}+10x)
integral de pi/2 a pi de sin(2x)	\int\:_{\frac{π}{2}}^{π}\sin(2x)dx
taylor (sin(x)-x)/(x^2)	taylor\:\frac{\sin(x)-x}{x^{2}}
límite cuando x tiende a 0 de sin(1/(\|x\|))	\lim\:_{x\to\:0}(\sin(\frac{1}{\left\|x\right\|}))
derivative (3x^2)/4	derivative\:\frac{3x^{2}}{4}
derivada de 2+1/(x^2)	\frac{d}{dx}(2+\frac{1}{x^{2}})
(\partial)/(\partial x)(3x^2+2y)	\frac{\partial\:}{\partial\:x}(3x^{2}+2y)
integral de (cos^2(x))	\int\:(\cos^{2}(x))dx
integral de (2^x)	\int\:(2^{x})dx
límite cuando x tiende a 7-de 4x	\lim\:_{x\to\:7-}(4x)
(d^2)/(dx^2)((x^2)/(3+x))	\frac{d^{2}}{dx^{2}}(\frac{x^{2}}{3+x})
área sqrt(x+2),x,-2,2	area\:\sqrt{x+2},x,-2,2
derivada de (ln(x)/(1-x))	\frac{d}{dx}(\frac{\ln(x)}{1-x})

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