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Problemas populares

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Problemas populares de Cálculo

integral de tan^5(pix)sec^4(pix)	\int\:\tan^{5}(πx)\sec^{4}(πx)dx
derivative x^4+7x^2-x	derivative\:x^{4}+7x^{2}-x
integral de 2x^3(3x^4-5)	\int\:2x^{3}(3x^{4}-5)dx
integral de 0 a 2pi de sin^2(2x)	\int\:_{0}^{2π}\sin^{2}(2x)dx
integral de (1+3t^5)/(2t)	\int\:\frac{1+3t^{5}}{2t}dt
integral de ((2x^4)/(\sqrt[3]{x^2)})	\int\:(\frac{2x^{4}}{\sqrt[3]{x^{2}}})dx
y^{''}+36y=-36sec^2(6x)	y^{\prime\:\prime\:}+36y=-36\sec^{2}(6x)
f(x)=sqrt(x+6)	f(x)=\sqrt{x+6}
área x=7y, 1/3 y=x, 1/7 y=x	area\:x=7y,\frac{1}{3}y=x,\frac{1}{7}y=x
derivada de ln(sqrt(1+sin^2(x)))	\frac{d}{dx}(\ln(\sqrt{1+\sin^{2}(x)}))
límite cuando x tiende a-7 de (x^2-8)/(7-x)	\lim\:_{x\to\:-7}(\frac{x^{2}-8}{7-x})
derivada de-cos(xsin(x))	\frac{d}{dx}(-\cos(x)\sin(x))
(\partial)/(\partial x)(4xy)	\frac{\partial\:}{\partial\:x}(4xy)
integral de e^{2x}cos(2x)	\int\:e^{2x}\cos(2x)dx
derivada de arctanh(sin(x))	\frac{d}{dx}(\arctanh(\sin(x)))
integral de x/((3x^2-4)^4)	\int\:\frac{x}{(3x^{2}-4)^{4}}dx
integral de (4x^2-3cos(x))	\int\:(4x^{2}-3\cos(x))dx
integral de-1 a 1 de e^{x+1}	\int\:_{-1}^{1}e^{x+1}dx
integral de sin(10x)cos(5x)	\int\:\sin(10x)\cos(5x)dx
(\partial)/(\partial y)(x^4-3x^2y^2+y^4)	\frac{\partial\:}{\partial\:y}(x^{4}-3x^{2}y^{2}+y^{4})
integral de (cos(x))/(sin(x)+1)	\int\:\frac{\cos(x)}{\sin(x)+1}dx
derivada de (sin(x)/(sqrt(2)))	\frac{d}{dx}(\frac{\sin(x)}{\sqrt{2}})
tangent y=(4x)/(x^2+1)	tangent\:y=\frac{4x}{x^{2}+1}
derivative f(x)=x^{2.4}+e^{2.4}	derivative\:f(x)=x^{2.4}+e^{2.4}
(\partial)/(\partial x)(5x^4y-3ysin(x))	\frac{\partial\:}{\partial\:x}(5x^{4}y-3y\sin(x))
pendiente (4.4,8997.96),(107.3,21421.44)	slope\:(4.4,8997.96),(107.3,21421.44)
f(x)=e^{ln(sin(x^2))}sqrt(2x+1)	f(x)=e^{\ln(\sin(x^{2}))}\sqrt{2x+1}
y^{''}-(3/x)y^'-(5/(x^2))y=0	y^{\prime\:\prime\:}-(\frac{3}{x})y^{\prime\:}-(\frac{5}{x^{2}})y=0
integral de (25)/((x-3)(x^2+16))	\int\:\frac{25}{(x-3)(x^{2}+16)}dx
integral de e^{4x}cos(6x)	\int\:e^{4x}\cos(6x)dx
derivative x^2-4x	derivative\:x^{2}-4x
(dx)/(dt)=3xt^2	\frac{dx}{dt}=3xt^{2}
laplacetransformación 3sin(2t)	laplacetransform\:3\sin(2t)
derivada de x^xsin(x)	\frac{d}{dx}(x^{x}\sin(x))
y(1+x^2)((dy)/(dx))-x(1+y^2)=0	y(1+x^{2})(\frac{dy}{dx})-x(1+y^{2})=0
y^'=-(csc(y))/(sec^2(x))	y^{\prime\:}=-\frac{\csc(y)}{\sec^{2}(x)}
tangent f(x)=((x-2)/(x+2))^2,\at x=-1	tangent\:f(x)=(\frac{x-2}{x+2})^{2},\at\:x=-1
integral de 1+cos(x)	\int\:1+\cos(x)dx
(cos(x))^{sin(x)}	(\cos(x))^{\sin(x)}
derivada de 2xcos(5x^2)	\frac{d}{dx}(2x\cos(5)x^{2})
límite cuando x tiende a-3 de-6/(x+3)	\lim\:_{x\to\:-3}(-\frac{6}{x+3})
integral de 4/(x^2)cos(4/x)	\int\:\frac{4}{x^{2}}\cos(\frac{4}{x})dx
derivative (-x^3-x^2+x)cos(x)	derivative\:(-x^{3}-x^{2}+x)\cos(x)
d/(dt)(At^2e^{-t})	\frac{d}{dt}(At^{2}e^{-t})
integral de-2 a-1 de u-1/(u^2)	\int\:_{-2}^{-1}u-\frac{1}{u^{2}}du
integral de e^{tan(x)}*sec^2(x)	\int\:e^{\tan(x)}\cdot\:\sec^{2}(x)dx
integral de 0 a pi de sin(x)sin(nx)	\int\:_{0}^{π}\sin(x)\sin(nx)dx
integral de (y-1)/((4+y^2)^2)	\int\:\frac{y-1}{(4+y^{2})^{2}}dy
integral de (4x-3)^6	\int\:(4x-3)^{6}dx
límite cuando x tiende a 2+de (x+3)/(x-2)	\lim\:_{x\to\:2+}(\frac{x+3}{x-2})
tangent f(x)= 6/x ,\at x=1	tangent\:f(x)=\frac{6}{x},\at\:x=1
límite cuando x tiende a 2 de x^2-1/x	\lim\:_{x\to\:2}(x^{2}-\frac{1}{x})
inversalaplace 1/(s^2(s+1)^2)	inverselaplace\:\frac{1}{s^{2}(s+1)^{2}}
integral de (x^5)/((3-x^6)^2)	\int\:\frac{x^{5}}{(3-x^{6})^{2}}dx
límite cuando x tiende a 4-de (x-4)/(x-1)	\lim\:_{x\to\:4-}(\frac{x-4}{x-1})
derivative y= 1/(sqrt(x))	derivative\:y=\frac{1}{\sqrt{x}}
integral de 7x^2-3x+8+1/x+2/(x^2)	\int\:7x^{2}-3x+8+\frac{1}{x}+\frac{2}{x^{2}}dx
integral de 0 a 3 de 10-x-y^2	\int\:_{0}^{3}10-x-y^{2}dx
f(x)=x^2e^{3x}	f(x)=x^{2}e^{3x}
límite cuando x tiende a 2+de 2x-3	\lim\:_{x\to\:2+}(2x-3)
derivada de e^{-x}-x^2	\frac{d}{dx}(e^{-x}-x^{2})
integral de 0 a 0.6 de 400x	\int\:_{0}^{0.6}400xdx
integral de (x^2+x-3)/(3x^3-2x^2+6x-4)	\int\:\frac{x^{2}+x-3}{3x^{3}-2x^{2}+6x-4}dx
inversalaplace e^{-5s}	inverselaplace\:e^{-5s}
integral de (a^x)/(1+a^{2x)}	\int\:\frac{a^{x}}{1+a^{2x}}dx
(dy)/(dx)=3y-5	\frac{dy}{dx}=3y-5
(\partial)/(\partial x)(y/(2x+3y))	\frac{\partial\:}{\partial\:x}(\frac{y}{2x+3y})
serie de n=1 a infinity}((\sqrt{n de+4))/(n^2)	\sum\:_{n=1}^{\infty\:}\frac{(\sqrt{n}+4)}{n^{2}}
límite cuando x tiende a 3 de sqrt(2x^2-2)	\lim\:_{x\to\:3}(\sqrt{2x^{2}-2})
(dy)/(dx)+y^7x+y=0	\frac{dy}{dx}+y^{7}x+y=0
derivada de (3cos(x)/(1-2sin(x)))	\frac{d}{dx}(\frac{3\cos(x)}{1-2\sin(x)})
(\partial}{\partial v}(\frac{u-v)/3)	\frac{\partial\:}{\partial\:v}(\frac{u-v}{3})
integral de (e^x)/(e^x+1)	\int\:\frac{e^{x}}{e^{x}+1}dx
área 3cos(2x),(3-3cos(2x))x=0x= pi/2	area\:3\cos(2x),(3-3\cos(2x))x=0x=\frac{π}{2}
integral de 0 a 1 de pi(5x)^2	\int\:_{0}^{1}π(5x)^{2}dx
derivada de 5-5x^2	\frac{d}{dx}(5-5x^{2})
6y^{''}-6y^'+75y=0	6y^{\prime\:\prime\:}-6y^{\prime\:}+75y=0
y^'=(2x)/(1+2y),y(2)=0	y^{\prime\:}=\frac{2x}{1+2y},y(2)=0
derivative ln(ln(7x))	derivative\:\ln(\ln(7x))
integral de (cos(6x))/(sin(6x))	\int\:\frac{\cos(6x)}{\sin(6x)}dx
(\partial)/(\partial x)(-2e^{-x^2}x)	\frac{\partial\:}{\partial\:x}(-2e^{-x^{2}}x)
integral de 2x-6x^3	\int\:2x-6x^{3}dx
inversalaplace-5	inverselaplace\:-5
área x^2,3-2x	area\:x^{2},3-2x
(dy)/(dx)=xy,y(0)=1,y(1)=2	\frac{dy}{dx}=xy,y(0)=1,y(1)=2
derivada de 2pi-xcos(x)	\frac{d}{dx}(2π-x\cos(x))
cos^2(x)sin(x)(dy)/(dx)cos^3(x)y=1	\cos^{2}(x)\sin(x)\frac{dy}{dx}\cos^{3}(x)y=1
laplacetransformación \H(t-2pi)sin(t-2pi)	laplacetransform\:\H(t-2π)\sin(t-2π)
derivada de (2+x/((2-x)^5))	\frac{d}{dx}(\frac{2+x}{(2-x)^{5}})
tangent f(x)=7sqrt(3)sin(x)+7cos(x)	tangent\:f(x)=7\sqrt{3}\sin(x)+7\cos(x)
integral de 1 a 5 de M/(e^M)	\int\:_{1}^{5}\frac{M}{e^{M}}dM
integral de 1/(x(a+bx))	\int\:\frac{1}{x(a+bx)}dx
(dy)/(dt)+e^ty=-20e^t	\frac{dy}{dt}+e^{t}y=-20e^{t}
límite cuando x tiende a 1 de (sqrt(x)-8)/(\sqrt[3]{x)-4}	\lim\:_{x\to\:1}(\frac{\sqrt{x}-8}{\sqrt[3]{x}-4})
integral de (x^2-5x)e^x	\int\:(x^{2}-5x)e^{x}dx
área 2sqrt(x),(x^2)/4	area\:2\sqrt{x},\frac{x^{2}}{4}
derivada de cot(x^2+1)	\frac{d}{dx}(\cot(x^{2}+1))
integral de 1 a t de (27)/(x^3)	\int\:_{1}^{t}\frac{27}{x^{3}}dx
5x-4ysqrt(x^2+1)(dy)/(dx)=0	5x-4y\sqrt{x^{2}+1}\frac{dy}{dx}=0
(\partial)/(\partial x)(2x^2yz)	\frac{\partial\:}{\partial\:x}(2x^{2}yz)

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