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Problemas populares

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Problemas populares Cálculo

integral de (8+3x)/(x(x^2+4))	\int\:\frac{8+3x}{x(x^{2}+4)}dx
derivative x^3-15x^2+72x	derivative\:x^{3}-15x^{2}+72x
integral de 1/(\sqrt[3]{1+2x)}	\int\:\frac{1}{\sqrt[3]{1+2x}}dx
integral de 1/(sqrt(12x-x^2))	\int\:\frac{1}{\sqrt{12x-x^{2}}}dx
derivada de (ln(5x)/(5x))	\frac{d}{dx}(\frac{\ln(5x)}{5x})
taylor 1.5^x	taylor\:1.5^{x}
integral de x/(9-x^2)	\int\:\frac{x}{9-x^{2}}dx
integral de 1/(sin^2(3x))	\int\:\frac{1}{\sin^{2}(3x)}dx
(dy)/(dx)=(sec(y))/((x-3)^2)	\frac{dy}{dx}=\frac{\sec(y)}{(x-3)^{2}}
(dy)/(dx)-2xy=xy^2	\frac{dy}{dx}-2xy=xy^{2}
derivative (7-sec(x))/(tan(x))	derivative\:\frac{7-\sec(x)}{\tan(x)}
integral de 0 a 1 de 8cos(x^2)	\int\:_{0}^{1}8\cos(x^{2})dx
tangent f(x)=2+2e^{-x},\at x=ln(5)	tangent\:f(x)=2+2e^{-x},\at\:x=\ln(5)
derivative 1/(6x^3)	derivative\:\frac{1}{6x^{3}}
integral de sin(x)cos^4(x)	\int\:\sin(x)\cos^{4}(x)dx
81y^{''}+180y^'+100y=0	81y^{\prime\:\prime\:}+180y^{\prime\:}+100y=0
integral de 0 a 20 de 3x	\int\:_{0}^{20}3xdx
integral de 1/(t^2sqrt(100-t^2))	\int\:\frac{1}{t^{2}\sqrt{100-t^{2}}}dt
límite cuando x tiende a 0 de ln(cos(x))	\lim\:_{x\to\:0}(\ln(\cos(x)))
4ty^'+4=5+t	4ty^{\prime\:}+4=5+t
límite cuando x tiende a 0 de 0^0	\lim\:_{x\to\:0}(0^{0})
derivative f(x)=(x^2)/(x+3)	derivative\:f(x)=\frac{x^{2}}{x+3}
(\partial)/(\partial x)(4xy+3yz+5xy-48)	\frac{\partial\:}{\partial\:x}(4xy+3yz+5xy-48)
derivada de x^nln(1/x)	\frac{d}{dx}(x^{n}\ln(\frac{1}{x}))
inverselaplace (-3)/((s-2)^2)	inverselaplace\:\frac{-3}{(s-2)^{2}}
derivada de x^4-x^2	\frac{d}{dx}(x^{4}-x^{2})
integral de tan(5x)	\int\:\tan(5x)dx
derivada de (x^2-2x+5/(x^2+9))	\frac{d}{dx}(\frac{x^{2}-2x+5}{x^{2}+9})
integral de (-3/(sqrt(10-10x^2)))	\int\:(-\frac{3}{\sqrt{10-10x^{2}}})dx
y=3tan(2x)	y=3\tan(2x)
integral de (-6)/(x^2sqrt(x^2-9))	\int\:\frac{-6}{x^{2}\sqrt{x^{2}-9}}dx
derivada de 1/((1+x^2^{1/2)})	\frac{d}{dx}(\frac{1}{(1+x^{2})^{\frac{1}{2}}})
inverselaplace 5/(s^2+12)	inverselaplace\:\frac{5}{s^{2}+12}
integral de sin^3(2ax)cos(2ax)	\int\:\sin^{3}(2ax)\cos(2ax)dx
integral de (2x-3)/(x(2x+1)(2x-1))	\int\:\frac{2x-3}{x(2x+1)(2x-1)}dx
integral de (ln(x+1))/(x^2)	\int\:\frac{\ln(x+1)}{x^{2}}dx
(dy)/(dt)=y^3-y	\frac{dy}{dt}=y^{3}-y
integral de 1/(xsqrt(7x-1))	\int\:\frac{1}{x\sqrt{7x-1}}dx
derivada de e^{cos(2x})	\frac{d}{dx}(e^{\cos(2x)})
taylor cos(pi-4x)	taylor\:\cos(π-4x)
integral de 3/125 x^2	\int\:\frac{3}{125}x^{2}dx
límite cuando x tiende a 0 de 4x	\lim\:_{x\to\:0}(4x)
integral de (3/(x^2)-2/(x^3))	\int\:(\frac{3}{x^{2}}-\frac{2}{x^{3}})dx
serie de n=1 a infinity de (n!)/(n*3^n)	\sum\:_{n=1}^{\infty\:}\frac{n!}{n\cdot\:3^{n}}
área y=18sin(x),y=18cos(x)	area\:y=18\sin(x),y=18\cos(x)
área x^2-4x+3,-x^2+2x+3,4,0	area\:x^{2}-4x+3,-x^{2}+2x+3,4,0
t^2(dy)/(dt)-t=1+y+ty,y(1)=8	t^{2}\frac{dy}{dt}-t=1+y+ty,y(1)=8
derivative y=(ln(6x))/(6x)	derivative\:y=\frac{\ln(6x)}{6x}
(d^2)/(dx^2)(\sqrt[11]{x})	\frac{d^{2}}{dx^{2}}(\sqrt[11]{x})
serie de n=1 a infinity de 6/(n(n+2))	\sum\:_{n=1}^{\infty\:}\frac{6}{n(n+2)}
integral de 0 a 1 de (x^2+2)e^{-x}	\int\:_{0}^{1}(x^{2}+2)e^{-x}dx
(dy)/(dx)=sqrt(9y)e^{x+5}	\frac{dy}{dx}=\sqrt{9y}e^{x+5}
y^'=xsin(2y)	y^{\prime\:}=x\sin(2y)
integral de 2 a 5 de e^{2x}	\int\:_{2}^{5}e^{2x}dx
(\partial)/(\partial x)(4x^5-2y^{-3})	\frac{\partial\:}{\partial\:x}(4x^{5}-2y^{-3})
derivative (9+2x-6sqrt(x))/x	derivative\:\frac{9+2x-6\sqrt{x}}{x}
y^{''}+y^'-2y=0	y^{\prime\:\prime\:}+y^{\prime\:}-2y=0
derivada de-x^4+50x^2-300	\frac{d}{dx}(-x^{4}+50x^{2}-300)
integral de 2 a infinity de xe^{-5x}	\int\:_{2}^{\infty\:}xe^{-5x}dx
límite cuando x tiende a 0+de tan(x^2)ln(x)	\lim\:_{x\to\:0+}(\tan(x^{2})\ln(x))
(dy)/(dx)-y=1	\frac{dy}{dx}-y=1
integral de sec(x/7)	\int\:\sec(\frac{x}{7})dx
integral de 5 a 6 de 1/((x-5)^{3/2)}	\int\:_{5}^{6}\frac{1}{(x-5)^{\frac{3}{2}}}dx
límite cuando x tiende a 0 de (1-tan(kx))/x	\lim\:_{x\to\:0}(\frac{1-\tan(kx)}{x})
serie de n=1 a infinity de (x^n)/(n^2)	\sum\:_{n=1}^{\infty\:}\frac{x^{n}}{n^{2}}
integral de xln(x^2+3)	\int\:x\ln(x^{2}+3)dx
integral de 0 a pi/(39) de tan(13x)	\int\:_{0}^{\frac{π}{39}}\tan(13x)dx
integral de (x^3-x)/(sqrt(x))	\int\:\frac{x^{3}-x}{\sqrt{x}}dx
(\partial)/(\partial x)(x^4y^9+6x^7y)	\frac{\partial\:}{\partial\:x}(x^{4}y^{9}+6x^{7}y)
y^'-7/x*y=0	y^{\prime\:}-\frac{7}{x}\cdot\:y=0
integral de 1/(1-cos(x)+sin(x))	\int\:\frac{1}{1-\cos(x)+\sin(x)}dx
derivada de (5x^4+7x^2-3/(2x^2))	\frac{d}{dx}(\frac{5x^{4}+7x^{2}-3}{2x^{2}})
integral de 4xe^{x^2}	\int\:4xe^{x^{2}}dx
integral de 3ye^{3z}	\int\:3ye^{3z}dz
integral de (sqrt(x)+1/(8sqrt(x)))	\int\:(\sqrt{x}+\frac{1}{8\sqrt{x}})dx
integral de (12)/x	\int\:\frac{12}{x}dx
derivative ln(x^4+x)	derivative\:\ln(x^{4}+x)
(\partial)/(\partial x)(e^{-2x}cos(-3y))	\frac{\partial\:}{\partial\:x}(e^{-2x}\cos(-3y))
derivada de arcsin((x^2-1/(x^2)))	\frac{d}{dx}(\arcsin(\frac{x^{2}-1}{x^{2}}))
derivative f(x)= 3/(x^7)	derivative\:f(x)=\frac{3}{x^{7}}
integral de 2sqrt(t)	\int\:2\sqrt{t}dt
derivada de (x^2-1/(x+2))	\frac{d}{dx}(\frac{x^{2}-1}{x+2})
(dy)/(dx)=xy+x+y+1	\frac{dy}{dx}=xy+x+y+1
(\partial)/(\partial y)(x^2*y^3)	\frac{\partial\:}{\partial\:y}(x^{2}\cdot\:y^{3})
derivative (4x^3+2x+5)/x	derivative\:\frac{4x^{3}+2x+5}{x}
límite cuando x tiende a 0 de (5^x-3^x)/x	\lim\:_{x\to\:0}(\frac{5^{x}-3^{x}}{x})
integral de (-x^5+6e^{-2x})	\int\:(-x^{5}+6e^{-2x})dx
(x+y)y^'=x-y	(x+y)y^{\prime\:}=x-y
integral de 1/x+1	\int\:\frac{1}{x}+1dx
integral de \sqrt[3]{r^2}	\int\:\sqrt[3]{r^{2}}dr
tangent f(x)=x^2+5,\at x=2	tangent\:f(x)=x^{2}+5,\at\:x=2
tangent y=x^3-4x,(2,0)	tangent\:y=x^{3}-4x,(2,0)
integral de 2 a 4 de 1/((x-1)(x-4))	\int\:_{2}^{4}\frac{1}{(x-1)(x-4)}dx
derivada de 2(1+cos(x))	\frac{d}{dx}(2(1+\cos(x)))
derivada de (1-e^{7x}/(1+e^{7x)})	\frac{d}{dx}(\frac{1-e^{7x}}{1+e^{7x}})
tangent y=x^{8/5}	tangent\:y=x^{\frac{8}{5}}
límite cuando x tiende a 1 de e^{5x^5-5x}	\lim\:_{x\to\:1}(e^{5x^{5}-5x})
integral de 0 a pi de sqrt(1-cos(2x))	\int\:_{0}^{π}\sqrt{1-\cos(2x)}dx
integral de 2x+3	\int\:2x+3dx
derivada de e^{sin(x}cos(sin(x)))	\frac{d}{dx}(e^{\sin(x)}\cos(\sin(x)))

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