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Problemas populares

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Problemas populares de Cálculo

integral de (8x^3)/((x^2+2)^2)	\int\:\frac{8x^{3}}{(x^{2}+2)^{2}}dx
integral de (8/x)	\int\:(\frac{8}{x})dx
(dy)/(dx)= 1/(x^8)	\frac{dy}{dx}=\frac{1}{x^{8}}
tangent y=(3-2x+4x^3),(-1,1)	tangent\:y=(3-2x+4x^{3}),(-1,1)
derivada de xln(y+sin(3x))	\frac{d}{dx}(x\ln(y)+\sin(3x))
serie de n=1 a infinity de (10/17)^n	\sum\:_{n=1}^{\infty\:}(\frac{10}{17})^{n}
(\partial)/(\partial x)(cos(xy)y)	\frac{\partial\:}{\partial\:x}(\cos(xy)y)
derivada de sin^{cos(x}(x))	\frac{d}{dx}(\sin^{\cos(x)}(x))
integral de (2e^{2t})/(5+e^{2t)}	\int\:\frac{2e^{2t}}{5+e^{2t}}dt
derivative 64x^2	derivative\:64x^{2}
derivative ln(2x)4	derivative\:\ln(2x)4
integral de 0 a pi/2 de cos^2(x/2)	\int\:_{0}^{\frac{π}{2}}\cos^{2}(\frac{x}{2})dx
(3sin(t))^'	(3\sin(t))^{\prime\:}
taylor x^3-3x^2+5x-7	taylor\:x^{3}-3x^{2}+5x-7
integral de e^{3x}3	\int\:e^{3x}3dx
(\partial)/(\partial y)((3x+3y)e^y)	\frac{\partial\:}{\partial\:y}((3x+3y)e^{y})
derivada de 5^{x^2}ln(tan(x))	\frac{d}{dx}(5^{x^{2}}\ln(\tan(x)))
integral de xsin(x)+1	\int\:x\sin(x)+1dx
integral de (ln(t))/(t^6)	\int\:\frac{\ln(t)}{t^{6}}dt
integral de 2 a 4 de (x-2)	\int\:_{2}^{4}(x-2)dx
integral de ((3+5x-6x^2-7x^3)/(2x^2))	\int\:(\frac{3+5x-6x^{2}-7x^{3}}{2x^{2}})dx
tangent f(x)=x^2-5x+5,\at x=4	tangent\:f(x)=x^{2}-5x+5,\at\:x=4
derivative 2x^3+3x^2-12x+4	derivative\:2x^{3}+3x^{2}-12x+4
derivative cos(6x)	derivative\:\cos(6x)
(\partial)/(\partial z)(zsqrt(x^2+y^2))	\frac{\partial\:}{\partial\:z}(z\sqrt{x^{2}+y^{2}})
(\partial)/(\partial y)(x^2+2xy)	\frac{\partial\:}{\partial\:y}(x^{2}+2xy)
límite cuando x tiende a 0 de (4/(x+1)-4)/x	\lim\:_{x\to\:0}(\frac{\frac{4}{x+1}-4}{x})
y^'= x/y ,y(1)=2	y^{\prime\:}=\frac{x}{y},y(1)=2
integral de y^4	\int\:y^{4}dy
pendiente (-5.1)(7.8)	slope\:(-5.1)(7.8)
(dy)/(dx)=(x^2)/(y+x^3y)	\frac{dy}{dx}=\frac{x^{2}}{y+x^{3}y}
inversalaplace (x^2+3)/2	inverselaplace\:\frac{x^{2}+3}{2}
derivada de (6x/(4x^2+1))	\frac{d}{dx}(\frac{6x}{4x^{2}+1})
derivada de xsqrt(x)+1/(x^2sqrt(x))	\frac{d}{dx}(x\sqrt{x}+\frac{1}{x^{2}\sqrt{x}})
integral de (17)/((x-1)(x^2+16))	\int\:\frac{17}{(x-1)(x^{2}+16)}dx
derivada de ({f}(x)^{{g}(x)})	\frac{d}{dx}(({f}(x))^{{g}(x)})
(\partial)/(\partial y)(cos(x^2y))	\frac{\partial\:}{\partial\:y}(\cos(x^{2}y))
integral de (sec(t)-1)^2	\int\:(\sec(t)-1)^{2}dt
implicit tan(5x+y)=5x	implicit\:\tan(5x+y)=5x
área y=x^3,[0,4]	area\:y=x^{3},[0,4]
derivative f(x)=(x^2)/((2+x))	derivative\:f(x)=\frac{x^{2}}{(2+x)}
integral de (x-1)^{-3}	\int\:(x-1)^{-3}dx
área e^x,e^{-x},[-2,1]	area\:e^{x},e^{-x},[-2,1]
derivada de (2(1+x^2)/((1-x^2)^2))	\frac{d}{dx}(\frac{2(1+x^{2})}{(1-x^{2})^{2}})
(\partial)/(\partial x)(y^6cos(6x))	\frac{\partial\:}{\partial\:x}(y^{6}\cos(6x))
integral de zsin(8z)	\int\:z\sin(8z)dz
(\partial)/(\partial x)(xe^xcos(y))	\frac{\partial\:}{\partial\:x}(xe^{x}\cos(y))
derivada de arcsin(5x+1)	\frac{d}{dx}(\arcsin(5x+1))
serie de n=0 a infinity de (en)/(3n+1)	\sum\:_{n=0}^{\infty\:}\frac{en}{3n+1}
derivative 6/x	derivative\:\frac{6}{x}
derivative te^{-t^5}	derivative\:te^{-t^{5}}
(\partial)/(\partial x)((xy)^2)	\frac{\partial\:}{\partial\:x}((xy)^{2})
derivada de 1/(x^1)	\frac{d}{dx}(\frac{1}{x^{1}})
derivada de xex	\frac{d}{dx}(xex)
y^{''}-2y^'+5y=17cos(2x)	y^{\prime\:\prime\:}-2y^{\prime\:}+5y=17\cos(2x)
integral de x(12x+8)	\int\:x(12x+8)dx
límite cuando x tiende a 0 de e^{-1/x}	\lim\:_{x\to\:0}(e^{-\frac{1}{x}})
(dy)/(dx)=(2xy)/(x^2+y^2)	\frac{dy}{dx}=\frac{2xy}{x^{2}+y^{2}}
integral de (-9x^2+9x+2)	\int\:(-9x^{2}+9x+2)dx
derivative y=(x^3+8x^2)^{-1}	derivative\:y=(x^{3}+8x^{2})^{-1}
derivative f(x)=(2x+5)/(x-1)	derivative\:f(x)=\frac{2x+5}{x-1}
integral de 1/(x^4sqrt(16x^2-9))	\int\:\frac{1}{x^{4}\sqrt{16x^{2}-9}}dx
límite cuando x tiende a infinity de 4/x-5	\lim\:_{x\to\:\infty\:}(\frac{4}{x}-5)
tangent y=sqrt(3x+7),(6,5)	tangent\:y=\sqrt{3x+7},(6,5)
derivative y=2x^3+3x^2-12x+8	derivative\:y=2x^{3}+3x^{2}-12x+8
integral de 13x^3e^x	\int\:13x^{3}e^{x}dx
tangent ((sqrt(x)+1))/(sqrt(x)+5)	tangent\:\frac{(\sqrt{x}+1)}{\sqrt{x}+5}
integral de (5x^2+3x+5)/((x^2+1)^2)	\int\:\frac{5x^{2}+3x+5}{(x^{2}+1)^{2}}dx
(\partial)/(\partial x)(12x+2y-3x^2-y^2)	\frac{\partial\:}{\partial\:x}(12x+2y-3x^{2}-y^{2})
área sqrt(x+7),0.5(x+7),-7,-3	area\:\sqrt{x+7},0.5(x+7),-7,-3
pendiente (8,1230),(16,2430)	slope\:(8,1230),(16,2430)
integral de e^{7x}sin(x)	\int\:e^{7x}\sin(x)dx
derivada de ln(3x^4)	\frac{d}{dx}(\ln(3x^{4}))
integral de 3x^2-4x+2	\int\:3x^{2}-4x+2dx
y^'=(y^4+3)/(4xy^3)	y^{\prime\:}=\frac{y^{4}+3}{4xy^{3}}
integral de 1/(4e^{-7x)+e^{7x}}	\int\:\frac{1}{4e^{-7x}+e^{7x}}dx
(\partial)/(\partial x)(ln(x)+ln(y))	\frac{\partial\:}{\partial\:x}(\ln(x)+\ln(y))
integral de x^3(8^{-x^4})	\int\:x^{3}(8^{-x^{4}})dx
derivada de (2x^4-7x^3+2x-1^2)	\frac{d}{dx}((2x^{4}-7x^{3}+2x-1)^{2})
integral de xcos(npix)	\int\:x\cos(nπx)dx
tangent x^3-25x+5	tangent\:x^{3}-25x+5
derivada de 2x^3-11.7x^2+17.7x-5	\frac{d}{dx}(2x^{3}-11.7x^{2}+17.7x-5)
taylor (1+x)^{1/2}	taylor\:(1+x)^{\frac{1}{2}}
derivada de (x^{1/2}+y^{1/2}^2)	\frac{d}{dx}((x^{\frac{1}{2}}+y^{\frac{1}{2}})^{2})
(2x^3-y)dx-(x+2y)dy=0	(2x^{3}-y)dx-(x+2y)dy=0
y^'= y/t+2t+1	y^{\prime\:}=\frac{y}{t}+2t+1
integral de (6x)/(x^2+4x+4)	\int\:\frac{6x}{x^{2}+4x+4}dx
inversalaplace (e^{-3s})/(s^3+4s)	inverselaplace\:\frac{e^{-3s}}{s^{3}+4s}
(\partial)/(\partial y)(ln(2x^2+y))	\frac{\partial\:}{\partial\:y}(\ln(2x^{2}+y))
integral de (-3x^3)/(sqrt(x^2+9))	\int\:\frac{-3x^{3}}{\sqrt{x^{2}+9}}dx
d/(d{x)}(({x)/y}{{z}})	\frac{d}{d{x}}(\frac{{x}{y}}{{z}})
límite cuando x tiende a 7 de 2cos(x)	\lim\:_{x\to\:7}(2\cos(x))
derivada de (1+x^{3x})	\frac{d}{dx}((1+x)^{3x})
xy^'+y=25sqrt(x)	xy^{\prime\:}+y=25\sqrt{x}
dy-(y-4)^2dx=0	dy-(y-4)^{2}dx=0
derivada de cos^2(xsin^2x)	\frac{d}{dx}(\cos^{2}(xsi)n^{2}x)
(\partial)/(\partial x)(xarcsin(xy))	\frac{\partial\:}{\partial\:x}(x\arcsin(xy))
derivative f(x)= 6/(sqrt(x))	derivative\:f(x)=\frac{6}{\sqrt{x}}
(\partial)/(\partial x)((x-y)^5)	\frac{\partial\:}{\partial\:x}((x-y)^{5})
tangent y= 8/(x^2+4),(2,1)	tangent\:y=\frac{8}{x^{2}+4},(2,1)

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