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Problemas populares

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Problemas populares Cálculo

serie de n=1 a infinity de 3/(2sqrt(n))	\sum\:_{n=1}^{\infty\:}\frac{3}{2\sqrt{n}}
derivada de (2x^{-3x})	\frac{d}{dx}((2x)^{-3x})
(dy)/(dx)=y(xy^5-1)	\frac{dy}{dx}=y(xy^{5}-1)
integral de 1/((3sin(x)-4cos(x)))	\int\:\frac{1}{(3\sin(x)-4\cos(x))}dx
(\partial)/(\partial x)(3x^2y+6xy^3)	\frac{\partial\:}{\partial\:x}(3x^{2}y+6xy^{3})
derivada de (14+5x-3x^2^{3/4})	\frac{d}{dx}((14+5x-3x^{2})^{\frac{3}{4}})
derivada de x^2sin^8(x+xcos^{-6}(x))	\frac{d}{dx}(x^{2}\sin^{8}(x)+x\cos^{-6}(x))
integral de 0 a 2pi de 6x^2sin(x/4)	\int\:_{0}^{2π}6x^{2}\sin(\frac{x}{4})dx
derivative xsin(2/x)	derivative\:x\sin(\frac{2}{x})
integral de (3x)/(sqrt(4-x))	\int\:\frac{3x}{\sqrt{4-x}}dx
integral de ((x^2-x+12))/(x^3+2x)	\int\:\frac{(x^{2}-x+12)}{x^{3}+2x}dx
límite cuando t tiende a 0 de ((3e^t-3))/t	\lim\:_{t\to\:0}(\frac{(3e^{t}-3)}{t})
derivative (f(x))^3	derivative\:(f(x))^{3}
integral de u^3sqrt(u^4+2)	\int\:u^{3}\sqrt{u^{4}+2}du
integral de 1/(7x+4)	\int\:\frac{1}{7x+4}dx
implicit (dy)/(dx),xy-6=0	implicit\:\frac{dy}{dx},xy-6=0
integral de t^2sin(nt)	\int\:t^{2}\sin(nt)dt
límite cuando x tiende a e+de (ln(x))^{1/(x-e)}	\lim\:_{x\to\:e+}((\ln(x))^{\frac{1}{x-e}})
y^{''}+9y=e^t(cos(3t)+sin(3t))	y^{\prime\:\prime\:}+9y=e^{t}(\cos(3t)+\sin(3t))
límite cuando x tiende a 9 de 7x+\|x-9\|	\lim\:_{x\to\:9}(7x+\left\|x-9\right\|)
derivative f(x)=(x^3)/4-3x	derivative\:f(x)=\frac{x^{3}}{4}-3x
(\partial)/(\partial x)((9x-2y)/(9x+2y))	\frac{\partial\:}{\partial\:x}(\frac{9x-2y}{9x+2y})
derivative f(x)=(x^{1/3}-4)/(x^{7/2)}	derivative\:f(x)=\frac{x^{\frac{1}{3}}-4}{x^{\frac{7}{2}}}
derivative (sqrt(3))/4 s^2	derivative\:\frac{\sqrt{3}}{4}s^{2}
(\partial)/(\partial x)((x+2y)/(x^2-y))	\frac{\partial\:}{\partial\:x}(\frac{x+2y}{x^{2}-y})
límite cuando z tiende a 1+i de z^2+i	\lim\:_{z\to\:1+i}(z^{2}+i)
integral de (3x-5)^4	\int\:(3x-5)^{4}dx
derivative f(x)=sqrt(5x^2+3x+8)	derivative\:f(x)=\sqrt{5x^{2}+3x+8}
derivada de e^{-x/5}	\frac{d}{dx}(e^{-\frac{x}{5}})
(dy)/(dx)+y=(1-e^{-2x})/(e^x-e^{-x)}	\frac{dy}{dx}+y=\frac{1-e^{-2x}}{e^{x}-e^{-x}}
integral de x(4x-3)^{10}	\int\:x(4x-3)^{10}dx
f(x)=ln(2x+1)	f(x)=\ln(2x+1)
límite cuando x tiende a infinity de 3x^2+2	\lim\:_{x\to\:\infty\:}(3x^{2}+2)
derivada de (7+5/x ^x)	\frac{d}{dx}((7+\frac{5}{x})^{x})
integral de 0 a 2 de sqrt(9-x^2)	\int\:_{0}^{2}\sqrt{9-x^{2}}dx
derivative g(x)=(5+2x)/(7-8x)	derivative\:g(x)=\frac{5+2x}{7-8x}
integral de sin(kt)	\int\:\sin(kt)dt
laplacetransform-t^2+9t-20	laplacetransform\:-t^{2}+9t-20
(x^2-3xy)dx+xdy=0	(x^{2}-3xy)dx+xdy=0
(d^2y)/(dt^2)+4(dy)/(dt)-5y=4	\frac{d^{2}y}{dt^{2}}+4\frac{dy}{dt}-5y=4
derivada de e^xcos(y)	\frac{d}{dx}(e^{x}\cos(y))
integral de cos^2(x)+2cos(x)+1	\int\:\cos^{2}(x)+2\cos(x)+1dx
integral de (x^{3/4})	\int\:(x^{\frac{3}{4}})dx
raíces ye^x	roots\:ye^{x}
integral de 1/(9+(x-1)^2)	\int\:\frac{1}{9+(x-1)^{2}}dx
integral de 8x^6y^3+15x^5y^4	\int\:8x^{6}y^{3}+15x^{5}y^{4}dy
derivada de x^4e^{2x}	\frac{d}{dx}(x^{4}e^{2x})
y^'=y(xy^2+4)	y^{\prime\:}=y(xy^{2}+4)
inverselaplace 1/(s^2+4s+3)	inverselaplace\:\frac{1}{s^{2}+4s+3}
pendiente (-2,-2),(0,0)	slope\:(-2,-2),(0,0)
límite cuando x tiende a 4 de xsqrt(32-x^2)	\lim\:_{x\to\:4}(x\sqrt{32-x^{2}})
(\partial)/(\partial x)(1/(x^2y^2))	\frac{\partial\:}{\partial\:x}(\frac{1}{x^{2}y^{2}})
integral de t2^{t^2}	\int\:t2^{t^{2}}dt
integral de (x^2+9x+1)/((x^2+1)^2)	\int\:\frac{x^{2}+9x+1}{(x^{2}+1)^{2}}dx
derivada de (2x+1(3x-2))	\frac{d}{dx}((2x+1)(3x-2))
integral de 8sec^3(3x)	\int\:8\sec^{3}(3x)dx
y^'+ycos(t)=sin(t)cos(t)	y^{\prime\:}+y\cdot\:\cos(t)=\sin(t)\cdot\:\cos(t)
desarrollar x^3(4-x)	expand\:x^{3}(4-x)
y^'=(x^2-y^2)/(xy),y(2)=2	y^{\prime\:}=\frac{x^{2}-y^{2}}{xy},y(2)=2
integral de 3sin(x)cos(x)	\int\:3\sin(x)\cos(x)dx
y^{''}+9y= 1/(sin(3t))	y^{\prime\:\prime\:}+9y=\frac{1}{\sin(3t)}
integral de 2x-9	\int\:2x-9dx
derivada de sin^3(x+cos^3(x))	\frac{d}{dx}(\sin^{3}(x)+\cos^{3}(x))
derivada de x^3+y^3-9xy	\frac{d}{dx}(x^{3}+y^{3}-9xy)
integral de 6x^2ln(x)	\int\:6x^{2}\ln(x)dx
integral de 1/(9x^2-4)	\int\:\frac{1}{9x^{2}-4}dx
taylor e^{-x^3}	taylor\:e^{-x^{3}}
integral de x/u	\int\:\frac{x}{u}
área y=x^3,0<= x<= 3	area\:y=x^{3},0\le\:x\le\:3
tangent 2sec(x)	tangent\:2\sec(x)
laplacetransform 3sin(4t+2)e^{-6t}	laplacetransform\:3\sin(4t+2)e^{-6t}
integral de 1/(x^2-5)	\int\:\frac{1}{x^{2}-5}dx
derivada de-(6x/((x^2-4)^2))	\frac{d}{dx}(-\frac{6x}{(x^{2}-4)^{2}})
integral de sin(2x)cos(3x)	\int\:\sin(2x)\cos(3x)dx
integral de sec^2(3x)e^{tan(3x)}	\int\:\sec^{2}(3x)e^{\tan(3x)}dx
límite cuando x tiende a 0 de 3-x^2	\lim\:_{x\to\:0}(3-x^{2})
límite cuando x tiende a 2-de csc((pix)/2)	\lim\:_{x\to\:2-}(\csc(\frac{πx}{2}))
y^{''}+y=1	y^{\prime\:\prime\:}+y=1
maclaurin f(x)=sin(x)	maclaurin\:f(x)=\sin(x)
derivada de (\sqrt[3]{x}/(x-6))	\frac{d}{dx}(\frac{\sqrt[3]{x}}{x-6})
derivada de-4+e^{1/(2-x})	\frac{d}{dx}(-4+e^{\frac{1}{2-x}})
derivative 8/(3x^4)	derivative\:\frac{8}{3x^{4}}
integral de (ln(10x))/x	\int\:\frac{\ln(10x)}{x}dx
integral de (sin(5x))/(cos(5x))	\int\:\frac{\sin(5x)}{\cos(5x)}dx
(dy)/(dx)=8x^4(6+y^2)^{3/2}	\frac{dy}{dx}=8x^{4}(6+y^{2})^{\frac{3}{2}}
integral de 1/(1-x^3)	\int\:\frac{1}{1-x^{3}}dx
tangent x^2-5x+5	tangent\:x^{2}-5x+5
integral de x^3sqrt(x^2+8)	\int\:x^{3}\sqrt{x^{2}+8}dx
derivada de ((2x+1/(3x-1))^4)	\frac{d}{dx}((\frac{2x+1}{3x-1})^{4})
integral de (8x^3)/(x-4)	\int\:\frac{8x^{3}}{x-4}dx
derivada de (4374/(x^2))	\frac{d}{dx}(\frac{4374}{x^{2}})
(\partial)/(\partial y)(y/((x+y+z)))	\frac{\partial\:}{\partial\:y}(\frac{y}{(x+y+z)})
integral de-2 a 3 de (31)/(x^4)	\int\:_{-2}^{3}\frac{31}{x^{4}}dx
derivada de sqrt(10)	\frac{d}{dx}(\sqrt{10})
área 4x,4, 4/x ,0	area\:4x,4,\frac{4}{x},0
(\partial)/(\partial x)(x^2+y^2+z^2)	\frac{\partial\:}{\partial\:x}(x^{2}+y^{2}+z^{2})
integral de 1/(13x-2x^2-15)	\int\:\frac{1}{13x-2x^{2}-15}dx
derivada de (3x^5(6x^4+x)^4)	\frac{d}{dx}((3x^{5})(6x^{4}+x)^{4})
derivative e^{x^2}	derivative\:e^{x^{2}}
derivative ln(f(x))	derivative\:\ln(f(x))

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