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Problemas populares

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Problemas populares de Cálculo

(\partial)/(\partial y)(sin^2(mx+ny))	\frac{\partial\:}{\partial\:y}(\sin^{2}(mx+ny))
derivada de ln(x^5-3x^3)	\frac{d}{dx}(\ln(x^{5}-3x^{3}))
serie de n=0 a infinity de 1/(6^n)	\sum\:_{n=0}^{\infty\:}\frac{1}{6^{n}}
xy^'+2y=12x^2	xy^{\prime\:}+2y=12x^{2}
d/(dt)(sin(t^3))	\frac{d}{dt}(\sin(t^{3}))
integral de (x^3+3x^2-5x-1)/(x^2-x)	\int\:\frac{x^{3}+3x^{2}-5x-1}{x^{2}-x}dx
derivative f(x)= 4/(sqrt((x^2+6x)^3))	derivative\:f(x)=\frac{4}{\sqrt{(x^{2}+6x)^{3}}}
integral de ((ln(t))^4)/t	\int\:\frac{(\ln(t))^{4}}{t}dt
integral de 2x+c	\int\:2x+cdx
integral de sin(2pix)cos(5pix)	\int\:\sin(2πx)\cos(5πx)dx
derivada de ln(sqrt((x-3/(x-1))))	\frac{d}{dx}(\ln(\sqrt{\frac{x-3}{x-1}}))
x*(dy)/(dx)=sqrt(1-y^2)	x\cdot\:\frac{dy}{dx}=\sqrt{1-y^{2}}
integral de tan(θ)	\int\:\tan(θ)dθ
integral de x(x-1)^{10}	\int\:x(x-1)^{10}dx
(x^3*cos(x))^'	(x^{3}\cdot\:\cos(x))^{\prime\:}
y^{1/2}*(dy)/(dx)+y^{3/2}=1	y^{\frac{1}{2}}\cdot\:\frac{dy}{dx}+y^{\frac{3}{2}}=1
integral de 1/(3sin^2(x)+5cos^2(x))	\int\:\frac{1}{3\sin^{2}(x)+5\cos^{2}(x)}dx
derivada de 2sin(x+sin(2x))	\frac{d}{dx}(2\sin(x)+\sin(2x))
integral de (15)/(15+e^x)	\int\:\frac{15}{15+e^{x}}dx
integral de 0 a 100 de 1/(sqrt(x))	\int\:_{0}^{100}\frac{1}{\sqrt{x}}dx
integral de 0 a 1 de 2x	\int\:_{0}^{1}2xdx
derivative y=4^{x+1}	derivative\:y=4^{x+1}
6y^{''}+2y^'=0,y^'(0)=4	6\cdot\:y^{\prime\:\prime\:}+2\cdot\:y^{\prime\:}=0,y^{\prime\:}(0)=4
integral de 0 a 1 de (2(x+2))/5	\int\:_{0}^{1}\frac{2(x+2)}{5}dx
derivative tan(2^x)	derivative\:\tan(2^{x})
derivada de (7x^2-11xe^x)	\frac{d}{dx}((7x^{2}-11x)e^{x})
límite cuando x tiende a 8-de (2x)/(x+8)	\lim\:_{x\to\:8-}(\frac{2x}{x+8})
y^'-1/x y=(1+ln(x))y^3	y^{\prime\:}-\frac{1}{x}y=(1+\ln(x))y^{3}
pendiente f(x)=4x^2	slope\:f(x)=4x^{2}
derivada de x^3-x^2-x+2	\frac{d}{dx}(x^{3}-x^{2}-x+2)
derivada de arcsin(3xln(sqrt(x+1)))	\frac{d}{dx}(\arcsin(3x)\ln(\sqrt{x+1}))
integral de 3xzy+xy^2+2zx^2	\int\:3xzy+xy^{2}+2zx^{2}
derivada de log_{x}(x^2+1)	\frac{d}{dx}(\log_{x}(x^{2}+1))
integral de ((x^2+4))/((x-5)(x^2+9))	\int\:\frac{(x^{2}+4)}{(x-5)(x^{2}+9)}dx
integral de x^4e^{(1-x^5)}	\int\:x^{4}e^{(1-x^{5})}dx
(dy)/(dx)+5y=8	\frac{dy}{dx}+5y=8
derivada de sin(x^2+sin(x^2+sin(x^2)))	\frac{d}{dx}(\sin(x^{2}+\sin(x^{2}+\sin(x^{2}))))
integral de 16x^2	\int\:16x^{2}dx
derivada de x\|x\|^{\|x\|-1}(ln\|x\|+1)	\frac{d}{dx}(x\left\|x\right\|^{\left\|x\right\|-1}(\ln\left\|x\right\|+1))
tangent f(x)=x^3,\at =0	tangent\:f(x)=x^{3},\at\:=0
límite cuando x tiende a 4+de cx^2+3x	\lim\:_{x\to\:4+}(cx^{2}+3x)
integral de arccot(6y)	\int\:\arccot(6y)dy
límite cuando x tiende a 0+de x^{tan(x)}	\lim\:_{x\to\:0+}(x^{\tan(x)})
integral de ((ln(x))^2)	\int\:((\ln(x))^{2})dx
derivative 4x^2tan(x)	derivative\:4x^{2}\tan(x)
(\partial)/(\partial x)(xexp(x,y,z)(-x^2-y^2-z^2))	\frac{\partial\:}{\partial\:x}(xexp(x,y,z)(-x^{2}-y^{2}-z^{2}))
tangent f(x)=-4sin(x),\at x=pi	tangent\:f(x)=-4\sin(x),\at\:x=π
integral de (sech^2(x))/(tanh(x))	\int\:\frac{\sech^{2}(x)}{\tanh(x)}dx
integral de 0 a 1 de (x^2+5)e^{-x}	\int\:_{0}^{1}(x^{2}+5)e^{-x}dx
integral de (1000)/(sqrt(100x))	\int\:\frac{1000}{\sqrt{100x}}dx
integral de 0 a 3-x de 3-x-y	\int\:_{0}^{3-x}3-x-ydy
derivada de xtan(1/x)	\frac{d}{dx}(x\tan(\frac{1}{x}))
integral de 1/((x+3)^2(x-5))	\int\:\frac{1}{(x+3)^{2}(x-5)}dx
derivada de (-6/(\sqrt[5]{x^3)})	\frac{d}{dx}(\frac{-6}{\sqrt[5]{x^{3}}})
derivative cos^3(12x)	derivative\:\cos^{3}(12x)
normal y=sqrt(3x^2+2x),(2,4)	normal\:y=\sqrt{3x^{2}+2x},(2,4)
integral de sin^2(xco)s^2x	\int\:\sin^{2}(xco)s^{2}xdx
y^{''}-6y^'+9y=0,y(0)=6,y^'(0)=0	y^{\prime\:\prime\:}-6y^{\prime\:}+9y=0,y(0)=6,y^{\prime\:}(0)=0
f(x)=(sin(x))/(2+cos(x))	f(x)=\frac{\sin(x)}{2+\cos(x)}
límite cuando x tiende a 0 de sqrt(x^2+1)	\lim\:_{x\to\:0}(\sqrt{x^{2}+1})
(dy)/(dx)=x+4	\frac{dy}{dx}=x+4
derivative 30e^xsqrt(x)	derivative\:30e^{x}\sqrt{x}
integral de 0 a 1 de (u+2)(u-3)	\int\:_{0}^{1}(u+2)(u-3)du
integral de (x^2ln^3(1+x^3))/(1+x^3)	\int\:\frac{x^{2}\ln^{3}(1+x^{3})}{1+x^{3}}dx
límite cuando x tiende a 0 de 1/(2^x)	\lim\:_{x\to\:0}(\frac{1}{2^{x}})
paridad sin(tan(2x))	parity\:\sin(\tan(2x))
integral de 3x(x^2-1/3)	\int\:3x(x^{2}-\frac{1}{3})dx
tangent f(x)= x/(x+1),\at x=-2	tangent\:f(x)=\frac{x}{x+1},\at\:x=-2
(\partial)/(\partial x)(-1/(2x^2))	\frac{\partial\:}{\partial\:x}(-\frac{1}{2x^{2}})
integral de 1+1/((x+1)^2)	\int\:1+\frac{1}{(x+1)^{2}}dx
derivada de sin^{-1}(x)	\frac{d}{dx}(\sin^{-1}(x))
integral de sec^2(X)	\int\:\sec^{2}(X)dX
límite cuando x tiende a-3-de 3/(x^2-9)	\lim\:_{x\to\:-3-}(\frac{3}{x^{2}-9})
integral de (3e^x+5sin(x))	\int\:(3e^{x}+5\sin(x))dx
integral de 1 a 2 de xsin(x^2)	\int\:_{1}^{2}x\sin(x^{2})dx
derivada de (72/x)	\frac{d}{dx}(\frac{72}{x})
integral de 0 a pi de (cos(2x))^4	\int\:_{0}^{π}(\cos(2x))^{4}dx
integral de 3x*e^{(-4x)}	\int\:3x\cdot\:e^{(-4x)}dx
derivada de (x^2y/(x^2+y^2))	\frac{d}{dx}(\frac{x^{2}y}{x^{2}+y^{2}})
derivative y=\|x^2-8\|	derivative\:y=\left\|x^{2}-8\right\|
y^{''}-3y^'+2y=4x^2	y^{\prime\:\prime\:}-3y^{\prime\:}+2y=4x^{2}
integral de x/(2sqrt(x))	\int\:\frac{x}{2\sqrt{x}}dx
límite cuando x tiende a infinity de x/k	\lim\:_{x\to\:\infty\:}(\frac{x}{k})
derivada de 6x^2-x	\frac{d}{dx}(6x^{2}-x)
(\partial)/(\partial y)(xsin(yz))	\frac{\partial\:}{\partial\:y}(x\sin(yz))
tangent x^2-sqrt(x)	tangent\:x^{2}-\sqrt{x}
límite cuando x tiende a 0 de (\|x\|)/(2x)	\lim\:_{x\to\:0}(\frac{\left\|x\right\|}{2x})
(\partial)/(\partial x)(2y+xy+ye^y-e^y)	\frac{\partial\:}{\partial\:x}(2y+xy+ye^{y}-e^{y})
integral de 5/(x^2-1)	\int\:\frac{5}{x^{2}-1}dx
derivada de 2^x+x	\frac{d}{dx}(2^{x}+x)
límite cuando x tiende a 2 de 1/(x^2)	\lim\:_{x\to\:2}(\frac{1}{x^{2}})
límite cuando x tiende a pi de x/3-(2pi)/3	\lim\:_{x\to\:π}(\frac{x}{3}-\frac{2π}{3})
(d^2x)/(dt^2)+4x=t^2	\frac{d^{2}x}{dt^{2}}+4x=t^{2}
simplificar sqrt(((5-120x)^2+(150x)^2))	simplify\:\sqrt{((5-120x)^{2}+(150x)^{2})}
integral de 0 a 1 de (x+1)	\int\:_{0}^{1}(x+1)dx
integral de-xcos(x+pi/3)+xcos(x)	\int\:-x\cos(x+\frac{π}{3})+x\cos(x)dx
integral de 1/(y(1-y/m))	\int\:\frac{1}{y(1-\frac{y}{m})}dy
integral de 5t^4	\int\:5t^{4}dt
integral de (x^2-12x-1)/((x-1)^2(x^2+1))	\int\:\frac{x^{2}-12x-1}{(x-1)^{2}(x^{2}+1)}dx
derivada de mx+c	\frac{d}{dx}(mx+c)

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