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Problemas populares

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Problemas populares de Cálculo

integral de (cos(pi/(x^9)))/(x^{10)}	\int\:\frac{\cos(\frac{π}{x^{9}})}{x^{10}}dx
integral de 1 a 2 de tsqrt(t-1)	\int\:_{1}^{2}t\sqrt{t-1}dt
límite cuando x tiende a c de 27/18	\lim\:_{x\to\:c}(\frac{27}{18})
maclaurin e^{6x}	maclaurin\:e^{6x}
(\partial)/(\partial x)(((3x+8))/(4y+1))	\frac{\partial\:}{\partial\:x}(\frac{(3x+8)}{4y+1})
integral de 0 a 1 de (6x+1)	\int\:_{0}^{1}(6x+1)dx
integral de 3x(cos(4x))	\int\:3x(\cos(4x))dx
integral de cos(x^4+2)	\int\:\cos(x^{4}+2)dx
(dy)/(dx)= y/(10)(500-y)	\frac{dy}{dx}=\frac{y}{10}(500-y)
(\partial)/(\partial x)(-sin(x^2y)*2xy)	\frac{\partial\:}{\partial\:x}(-\sin(x^{2}y)\cdot\:2xy)
integral de x/(sqrt(1+4x^2))	\int\:\frac{x}{\sqrt{1+4x^{2}}}dx
derivada de (x^2/(2x+3))	\frac{d}{dx}(\frac{x^{2}}{2x+3})
integral de 0 a 1 de (65)/(x^5)	\int\:_{0}^{1}\frac{65}{x^{5}}dx
y^'+4xy=0	y^{\prime\:}+4xy=0
integral de 4(2x+5)^3	\int\:4(2x+5)^{3}dx
taylor sqrt(1-x^2),x=0	taylor\:\sqrt{1-x^{2}},x=0
derivada de (x^2/(3+8x))	\frac{d}{dx}(\frac{x^{2}}{3+8x})
x*y^'+y^2=0	x\cdot\:y^{\prime\:}+y^{2}=0
integral de sqrt(5+4x-x^2)	\int\:\sqrt{5+4x-x^{2}}dx
integral de 6/(x^6)	\int\:\frac{6}{x^{6}}dx
derivada de 1-4/(x^2)	\frac{d}{dx}(1-\frac{4}{x^{2}})
serie de n=1 a infinity de 2^nx^{n-1}	\sum\:_{n=1}^{\infty\:}2^{n}x^{n-1}
(4/3 pir^3)^'	(\frac{4}{3}πr^{3})^{\prime\:}
integral de-(x-1)^2	\int\:-(x-1)^{2}dx
derivative f(x)=x^2e^{6x}	derivative\:f(x)=x^{2}e^{6x}
derivada de cos(x-4tan(x))	\frac{d}{dx}(\cos(x)-4\tan(x))
derivada de xarctan(x)	\frac{d}{dx}(x\arctan(x))
2y^{''}-y^'+3y=0	2y^{\prime\:\prime\:}-y^{\prime\:}+3y=0
x^2y^{''}-14xy^'+56y=0	x^{2}y^{\prime\:\prime\:}-14xy^{\prime\:}+56y=0
(dy)/(dx)=e^y(2x^3-4x)	\frac{dy}{dx}=e^{y}(2x^{3}-4x)
integral de ((x^3+2x^2-4)/(x^2))	\int\:(\frac{x^{3}+2x^{2}-4}{x^{2}})dx
integral de 1 a 2 de sqrt(x-1)	\int\:_{1}^{2}\sqrt{x-1}dx
inversalaplace (3s)/((s^2+4))	inverselaplace\:\frac{3s}{(s^{2}+4)}
y^{''''}+2y^{''}+y=0	y^{\prime\:\prime\:\prime\:\prime\:}+2y^{\prime\:\prime\:}+y=0
derivada de ((10/(4+x))^{1/2})	\frac{d}{dx}((\frac{10}{4+x})^{\frac{1}{2}})
derivative-1/4 x^4+6x^2	derivative\:-\frac{1}{4}x^{4}+6x^{2}
derivada de (x^4/(12))	\frac{d}{dx}(\frac{x^{4}}{12})
derivative f(x)=4x^2sin(x)+2x	derivative\:f(x)=4x^{2}\sin(x)+2x
derivative cos((1-e^{6x})/(1+e^{6x)})	derivative\:\cos(\frac{1-e^{6x}}{1+e^{6x}})
pendiente (-9,3),(7,-7)	slope\:(-9,3),(7,-7)
derivada de cos(e^{cot(x^2}))	\frac{d}{dx}(\cos(e^{\cot(x^{2})}))
(\partial)/(\partial x)(x^2+1)	\frac{\partial\:}{\partial\:x}(x^{2}+1)
integral de-x^2sin(y)	\int\:-x^{2}\sin(y)dy
derivada de (arccot(x)^5)	\frac{d}{dx}((\arccot(x))^{5})
integral de (-1)/(y^2+1)	\int\:\frac{-1}{y^{2}+1}dy
y^{''}+2y=sin(sqrt(2)t),y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}+2y=\sin(\sqrt{2}t),y(0)=0,y^{\prime\:}(0)=0
integral de 1/(sec(x)+tan(x))	\int\:\frac{1}{\sec(x)+\tan(x)}dx
inversalaplace 1/(s^3+8s^2+12s)	inverselaplace\:\frac{1}{s^{3}+8s^{2}+12s}
derivada de 2x^{-3x}	\frac{d}{dx}(2x^{-3x})
derivative f(x)=4x^{4/3}-2/3 x^{3/2}+x^2-4x+1	derivative\:f(x)=4x^{\frac{4}{3}}-\frac{2}{3}x^{\frac{3}{2}}+x^{2}-4x+1
serie de n=0 a infinity de 2*0.2^n	\sum\:_{n=0}^{\infty\:}2\cdot\:0.2^{n}
límite cuando x tiende a 0 de (5^{x+1}-5)/x	\lim\:_{x\to\:0}(\frac{5^{x+1}-5}{x})
integral de 0 a infinity de 8sin^2(x)	\int\:_{0}^{\infty\:}8\sin^{2}(x)dx
integral de arctan(x	\int\:\arctan(d)xdx
d/(dθ)(2/(1-sin(θ)))	\frac{d}{dθ}(\frac{2}{1-\sin(θ)})
límite cuando x tiende a 5 de x^2+5x+8	\lim\:_{x\to\:5}(x^{2}+5x+8)
maclaurin x/(1+4x^2)	maclaurin\:\frac{x}{1+4x^{2}}
derivada de sqrt(e^xsin(x))	\frac{d}{dx}(\sqrt{e^{x}\sin(x)})
tangent y=sin(9x)+sin^2(9x),(0,0)	tangent\:y=\sin(9x)+\sin^{2}(9x),(0,0)
(dy)/(dx)+x^2sec(y)=0,y(0)=1	\frac{dy}{dx}+x^{2}\sec(y)=0,y(0)=1
derivada de sqrt(3-8x)	\frac{d}{dx}(\sqrt{3-8x})
integral de (2x^2+x+3)/((x+1)(x^2+1))	\int\:\frac{2x^{2}+x+3}{(x+1)(x^{2}+1)}dx
derivative 4^{-x^8}	derivative\:4^{-x^{8}}
integral de 2sin^2(x)	\int\:2\sin^{2}(x)dx
x^3+y^2sqrt(x^4+4)y^'=0	x^{3}+y^{2}\sqrt{x^{4}+4}y^{\prime\:}=0
integral de 0 a x de (e^{-t^2})	\int\:_{0}^{x}(e^{-t^{2}})dt
xsqrt(1+y^2)dx=ysqrt(1+x^2)dy	x\sqrt{1+y^{2}}dx=y\sqrt{1+x^{2}}dy
derivada de ({f}(x)/({g)(x)-2})	\frac{d}{dx}(\frac{{f}(x)}{{g}(x)-2})
implicit (dy)/(dx),3xy+1=0	implicit\:\frac{dy}{dx},3xy+1=0
integral de 0 a 33 de 3(x-1)^{-1/5}	\int\:_{0}^{33}3(x-1)^{-\frac{1}{5}}dx
xy(dy)/(dx)=2y^2-x^2	xy\frac{dy}{dx}=2y^{2}-x^{2}
integral de 5x^{1/2}	\int\:5x^{\frac{1}{2}}dx
(\partial)/(\partial y)((x^2-y^2)/(xy))	\frac{\partial\:}{\partial\:y}(\frac{x^{2}-y^{2}}{xy})
integral de (2x)/(sqrt(x^2+5))	\int\:\frac{2x}{\sqrt{x^{2}+5}}dx
tangent f(x)=x-x^3	tangent\:f(x)=x-x^{3}
integral de ln(y)+4xy^3	\int\:\ln(y)+4xy^{3}dx
derivada de 4x-x^2y+y^3	\frac{d}{dx}(4x-x^{2}y+y^{3})
inversalaplace (s+3)/(s^2+4s+5)	inverselaplace\:\frac{s+3}{s^{2}+4s+5}
integral de (11)/(2xsqrt(4x^2-16))	\int\:\frac{11}{2x\sqrt{4x^{2}-16}}dx
integral de ((ax+b))/((cx+)	\int\:\frac{(ax+b)}{(cx+d)}dx
derivative 7/(2x^2)	derivative\:\frac{7}{2x^{2}}
límite cuando x tiende a infinity de arctan(x^6-x^9)	\lim\:_{x\to\:\infty\:}(\arctan(x^{6}-x^{9}))
derivative y=arctan(3x)	derivative\:y=\arctan(3x)
tangent f(x)=(3+4x^{1/2})/(2+x^{3/2)}	tangent\:f(x)=\frac{3+4x^{\frac{1}{2}}}{2+x^{\frac{3}{2}}}
integral de (x^2)/((sqrt(5-x^2))^3)	\int\:\frac{x^{2}}{(\sqrt{5-x^{2}})^{3}}dx
serie de n=0 a infinity de cos(pin)	\sum\:_{n=0}^{\infty\:}\cos(πn)
derivada de ln(x^3-2x^2+2)	\frac{d}{dx}(\ln(x^{3}-2x^{2}+2))
integral de sec^4(x)tan^4(x)	\int\:\sec^{4}(x)\tan^{4}(x)dx
derivative f(x)=(x^3+7x^2+5)^5	derivative\:f(x)=(x^{3}+7x^{2}+5)^{5}
derivada de (x+1^{-1/2})	\frac{d}{dx}((x+1)^{-\frac{1}{2}})
derivada de cos(e^{x^2})	\frac{d}{dx}(\cos(e^{x^{2}}))
integral de (sin(x))/(2x)	\int\:\frac{\sin(x)}{2x}dx
paridad ,sqrt(x)	parity\:,\sqrt{x}
derivative f(1)=9+3/x	derivative\:f(1)=9+\frac{3}{x}
derivative f(x)=sqrt(3x+8)	derivative\:f(x)=\sqrt{3x+8}
derivada de (4-x^2/(3x-2))	\frac{d}{dx}(\frac{4-x^{2}}{3x-2})
y^'=(-1)/(x^2)	y^{\prime\:}=\frac{-1}{x^{2}}
serie de n=0 a infinity de 1/5*(-2/3)^n	\sum\:_{n=0}^{\infty\:}\frac{1}{5}\cdot\:(-\frac{2}{3})^{n}
tangent x^2+y^2=25,(-4,3)	tangent\:x^{2}+y^{2}=25,(-4,3)
tangent f(x)=(4x)/(x^2+3),\at x=1	tangent\:f(x)=\frac{4x}{x^{2}+3},\at\:x=1

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