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Problemas populares

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Problemas populares de Cálculo

integral de sin(2)(x)	\int\:\sin(2)(x)dx
límite cuando x tiende a 5 de sin((xpi)/3)	\lim\:_{x\to\:5}(\sin(\frac{xπ}{3}))
integral de x/(3sqrt(x^2-8))	\int\:\frac{x}{3\sqrt{x^{2}-8}}dx
integral de 1/(sqrt(4-16x^2))	\int\:\frac{1}{\sqrt{4-16x^{2}}}dx
área y=e,y=e^x,y=e^{-x}	area\:y=e,y=e^{x},y=e^{-x}
y^{''}+6y^'+25y=0,y(0)=2,y^'(0)=14	y^{\prime\:\prime\:}+6y^{\prime\:}+25y=0,y(0)=2,y^{\prime\:}(0)=14
integral de sin(X)	\int\:\sin(X)dX
límite cuando x tiende a 2+de (-1)/(x^2-4)	\lim\:_{x\to\:2+}(\frac{-1}{x^{2}-4})
(\partial)/(\partial x)(x^2+y^2+2)	\frac{\partial\:}{\partial\:x}(x^{2}+y^{2}+2)
integral de (e^x)	\int\:(e^{x})dx
derivada de (sqrt(2)tanh(x)/2)	\frac{d}{dx}(\frac{\sqrt{2}\tanh(x)}{2})
d/(dy)(tan(y))	\frac{d}{dy}(\tan(y))
integral de x^2\sqrt[3]{x+2}	\int\:x^{2}\sqrt[3]{x+2}dx
integral de (x^2-3x-1)/(x^3+x^2-2x)	\int\:\frac{x^{2}-3x-1}{x^{3}+x^{2}-2x}dx
integral de 0 a 8 de y^2(8-y)	\int\:_{0}^{8}y^{2}(8-y)dy
derivative 4x-5x^{3/4}	derivative\:4x-5x^{\frac{3}{4}}
derivada de e^{-x}-x	\frac{d}{dx}(e^{-x}-x)
integral de 1/((x+1)ln(x+1))	\int\:\frac{1}{(x+1)\ln(x+1)}dx
tangent y=3-2x+4x^3,\at x=-1	tangent\:y=3-2x+4x^{3},\at\:x=-1
derivada de ln(x^{16})	\frac{d}{dx}(\ln(x^{16}))
y^'=xy+x+y+1	y^{\prime\:}=xy+x+y+1
integral de 0 a 1 de 7(x^2+1)e^{-x}	\int\:_{0}^{1}7(x^{2}+1)e^{-x}dx
integral de (x^3-8x)/(x^2)	\int\:\frac{x^{3}-8x}{x^{2}}dx
derivada de (x^2+sin(x)sec(x))	\frac{d}{dx}((x^{2}+\sin(x))\sec(x))
(\partial)/(\partial t)(s+t)	\frac{\partial\:}{\partial\:t}(s+t)
y^{''}+2y^'+5y=3sin(2t)	y^{\prime\:\prime\:}+2y^{\prime\:}+5y=3\sin(2t)
-2x^2y^{''}+3xy^'-y=0	-2x^{2}y^{\prime\:\prime\:}+3xy^{\prime\:}-y=0
integral de (x^4)/(x^2+3)	\int\:\frac{x^{4}}{x^{2}+3}dx
derivada de (x+ce^{-x})	\frac{d}{dx}((x+c)e^{-x})
derivative f(x)=((3x^2-x+1))/x	derivative\:f(x)=\frac{(3x^{2}-x+1)}{x}
derivative 6x^5(x-4)^5+5(x-4)^4x^6	derivative\:6x^{5}(x-4)^{5}+5(x-4)^{4}x^{6}
(\partial)/(\partial x)((-cx)/(x^2+y^2))	\frac{\partial\:}{\partial\:x}(\frac{-cx}{x^{2}+y^{2}})
inversalaplace (k^4)/((s+k)^5)	inverselaplace\:\frac{k^{4}}{(s+k)^{5}}
(\partial}{\partial x}(\frac{(y^4))/x)	\frac{\partial\:}{\partial\:x}(\frac{(y^{4})}{x})
2y^'-y=0	2y^{\prime\:}-y=0
límite cuando x tiende a 0 de 5x-12	\lim\:_{x\to\:0}(5x-12)
integral de xarctan(x	\int\:x\arctan(d)xdx
integral de nx^{n-1}	\int\:nx^{n-1}dx
1/4 y^{''}+y^'+y=x^2-3x	\frac{1}{4}y^{\prime\:\prime\:}+y^{\prime\:}+y=x^{2}-3x
y'=(e^{3x}+3x*y+y)/x	y\prime\:=\frac{e^{3\cdot\:x}+3\cdot\:x\cdot\:y+y}{x}
integral de 1/(2-7x)	\int\:\frac{1}{2-7x}dx
derivada de 1/(\sqrt[3]{x^5})	\frac{d}{dx}(\frac{1}{\sqrt[3]{x^{5}}})
derivative sin((pix)^9)	derivative\:\sin((πx)^{9})
derivative [x^2(x^2+5x)]^6	derivative\:[x^{2}(x^{2}+5x)]^{6}
extreme f(x)=y^2-xy	extreme\:f(x)=y^{2}-xy
integral de x^2(x-2)	\int\:x^{2}(x-2)dx
serie de n=0 a infinity de (n!)/(103^n)	\sum\:_{n=0}^{\infty\:}\frac{n!}{103^{n}}
(\partial)/(\partial y)(x^2+2xy^2+2y^2)	\frac{\partial\:}{\partial\:y}(x^{2}+2xy^{2}+2y^{2})
derivative f(x)=x^3-3/2 x^2	derivative\:f(x)=x^{3}-\frac{3}{2}x^{2}
área y=2-\|x\|,y=x^2	area\:y=2-\left\|x\right\|,y=x^{2}
derivative 1/x+6	derivative\:\frac{1}{x}+6
inversalaplace 1/(s^2-pi)	inverselaplace\:\frac{1}{s^{2}-π}
integral de (15)/(x^2-1)	\int\:\frac{15}{x^{2}-1}dx
integral de 2x(x^2+8)^6	\int\:2x(x^{2}+8)^{6}dx
(\partial)/(\partial x)(cos^5(x^3y^9))	\frac{\partial\:}{\partial\:x}(\cos^{5}(x^{3}y^{9}))
derivada de (x^4+x^3+1(x^2-2))	\frac{d}{dx}((x^{4}+x^{3}+1)(x^{2}-2))
integral de (sqrt(36+x^2))/x	\int\:\frac{\sqrt{36+x^{2}}}{x}dx
integral de-9 a-5 de 1/x	\int\:_{-9}^{-5}\frac{1}{x}dx
integral de 0 a 5 de (6e^{0.2x}+2x)	\int\:_{0}^{5}(6e^{0.2x}+2x)dx
derivative f(x)= 5/(x^3)-4/(x^2)+1/x	derivative\:f(x)=\frac{5}{x^{3}}-\frac{4}{x^{2}}+\frac{1}{x}
derivada de 2tan(x-4sec(x))	\frac{d}{dx}(2\tan(x)-4\sec(x))
integral de 1-\sqrt[3]{x}	\int\:1-\sqrt[3]{x}dx
límite cuando x tiende a (3pi)/2 de tan(x)	\lim\:_{x\to\:\frac{3π}{2}}(\tan(x))
integral de x^3e^{4x^4}	\int\:x^{3}e^{4x^{4}}dx
límite cuando x tiende a 1-de 1/(x^2+1)	\lim\:_{x\to\:1-}(\frac{1}{x^{2}+1})
(\partial)/(\partial x)(x^2e^{2y})	\frac{\partial\:}{\partial\:x}(x^{2}e^{2y})
integral de x^3(x^2-2x)	\int\:x^{3}(x^{2}-2x)dx
derivada de (5x^2-4xe^x)	\frac{d}{dx}((5x^{2}-4x)e^{x})
derivative 3xe^{(-1)/(y^3)}	derivative\:3xe^{\frac{-1}{y^{3}}}
integral de cos^6(x)sin(x)	\int\:\cos^{6}(x)\sin(x)dx
derivative y=sqrt(11+cot^2(x))	derivative\:y=\sqrt{11+\cot^{2}(x)}
derivada de In(x)	\frac{d}{dx}(In(x))
integral de sin^4(θ)cos^5(θ)	\int\:\sin^{4}(θ)\cos^{5}(θ)dθ
área-x, 1/2 x-3/2 ,-1,3	area\:-x,\frac{1}{2}x-\frac{3}{2},-1,3
d/(dt)(sqrt(1+t^2))	\frac{d}{dt}(\sqrt{1+t^{2}})
límite cuando x tiende a-3-de-x^2-x+4	\lim\:_{x\to\:-3-}(-x^{2}-x+4)
derivative f(x)=sqrt(9)	derivative\:f(x)=\sqrt{9}
derivada de 4x^2cos(x+9x)	\frac{d}{dx}(4x^{2}\cos(x)+9x)
integral de 0 a 1 de 8te^{5t^2}	\int\:_{0}^{1}8te^{5t^{2}}dt
integral de (x^3)/(\sqrt[3]{3-2x^2)}	\int\:\frac{x^{3}}{\sqrt[3]{3-2x^{2}}}dx
límite cuando x tiende a-2 de (3x-9)/(x+1)	\lim\:_{x\to\:-2}(\frac{3x-9}{x+1})
serie de n=2 a infinity de 1/((-5)^n)	\sum\:_{n=2}^{\infty\:}\frac{1}{(-5)^{n}}
límite cuando n tiende a+0-de 5+4/n	\lim\:_{n\to\:+0-}(5+\frac{4}{n})
integral de 3*cos(3x)	\int\:3\cdot\:\cos(3x)dx
integral de (x^{15})/(sqrt(x^{16)+1)}	\int\:\frac{x^{15}}{\sqrt{x^{16}+1}}dx
integral de 2x(x^2+2)^7	\int\:2x(x^{2}+2)^{7}dx
derivada de-2x+1	\frac{d}{dx}(-2x+1)
derivative 10x^2	derivative\:10x^{2}
derivada de (2x^2-3/(x^2+1))	\frac{d}{dx}(\frac{2x^{2}-3}{x^{2}+1})
(5x^2)^'	(5x^{2})^{\prime\:}
y^'+2ty=5t	y^{\prime\:}+2ty=5t
área y=x^2,y=18-x^2	area\:y=x^{2},y=18-x^{2}
área y=x^2,x=3	area\:y=x^{2},x=3
límite cuando (x,y) tiende a (0,0) de (x^2+y^2)/(9+y^2)	\lim\:_{(x,y)\to\:(0,0)}(\frac{x^{2}+y^{2}}{9+y^{2}})
5(dy)/(dx)-15x^2=0	5\frac{dy}{dx}-15x^{2}=0
derivative y=x^2e^x-2xe^x+2e^x	derivative\:y=x^{2}e^{x}-2xe^{x}+2e^{x}
e^{2y}y^'=1-e^{2y}	e^{2y}y^{\prime\:}=1-e^{2y}
área y= 3/x ,y=4-x	area\:y=\frac{3}{x},y=4-x
serie de n=0 a infinity de (2/9)^n	\sum\:_{n=0}^{\infty\:}(\frac{2}{9})^{n}
pendiente (1,4),(-9,-10)	slope\:(1,4),(-9,-10)

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