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Problemas populares

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Problemas populares de Cálculo

integral de (sqrt(x^2-a^2))/x	\int\:\frac{\sqrt{x^{2}-a^{2}}}{x}dx
(\partial)/(\partial y)(cos(x^2)sin(yz))	\frac{\partial\:}{\partial\:y}(\cos(x^{2})\sin(yz))
(dy)/(dx)=(y^2+4xsqrt(x^2+y^2))/(xy)	\frac{dy}{dx}=\frac{y^{2}+4x\sqrt{x^{2}+y^{2}}}{xy}
f(x)= 1/(x^5)	f(x)=\frac{1}{x^{5}}
derivative f(x)=(x^3-3x)(2x^2+3x+5)	derivative\:f(x)=(x^{3}-3x)(2x^{2}+3x+5)
integral de 2sin(θ)-sec^2(θ)	\int\:2\sin(θ)-\sec^{2}(θ)dθ
límite cuando x tiende a+0 de x/(arctan(x))	\lim\:_{x\to\:+0}(\frac{x}{\arctan(x)})
integral de-1 a 1 de 3e^{-3x}	\int\:_{-1}^{1}3e^{-3x}dx
laplacetransformación 5e^{-2t}	laplacetransform\:5e^{-2t}
y^'=12t^5-20t^4+2-6t^{-2}	y^{\prime\:}=12t^{5}-20t^{4}+2-6t^{-2}
laplacetransformación y=te^{-3t}sin(5t)	laplacetransform\:y=te^{-3t}\sin(5t)
derivative ((3x-7))/((9x+5))+x^3	derivative\:\frac{(3x-7)}{(9x+5)}+x^{3}
(\partial)/(\partial y)(x^2sqrt(y))	\frac{\partial\:}{\partial\:y}(x^{2}\sqrt{y})
integral de x/(2-x^2)	\int\:\frac{x}{2-x^{2}}dx
derivada de-3sin(x-pi+x)	\frac{d}{dx}(-3\sin(x-π)+x)
y^'-9y=27	y^{\prime\:}-9y=27
derivada de 1/5 x	\frac{d}{dx}(\frac{1}{5}x)
integral de (x/(sqrt(x^2+y^2))+1/x+1/y)	\int\:(\frac{x}{\sqrt{x^{2}+y^{2}}}+\frac{1}{x}+\frac{1}{y})dx
derivada de (3+5x-8sqrt(x)/x)	\frac{d}{dx}(\frac{3+5x-8\sqrt{x}}{x})
derivative f(x)=cos(a^3+x^3)	derivative\:f(x)=\cos(a^{3}+x^{3})
y^{''}+0.5y^'+4y=0	y^{\prime\:\prime\:}+0.5y^{\prime\:}+4y=0
integral de 6xsqrt(x+2)	\int\:6x\sqrt{x+2}dx
integral de 8sqrt(x/4+1)	\int\:8\sqrt{\frac{x}{4}+1}dx
derivada de 8x^2+x	\frac{d}{dx}(8x^{2}+x)
serie de n=1 a infinity de (1/2)^{n-1}	\sum\:_{n=1}^{\infty\:}(\frac{1}{2})^{n-1}
integral de (t^2)/(t^4+1)	\int\:\frac{t^{2}}{t^{4}+1}dt
(\partial)/(\partial y)(6e^{yz}cos(xyz))	\frac{\partial\:}{\partial\:y}(6e^{yz}\cos(xyz))
derivada de sqrt(1\sqrt{1+x)}	\frac{d}{dx}(\sqrt{1\sqrt{1+x}})
derivada de (x-3/(x^2-1))	\frac{d}{dx}(\frac{x-3}{x^{2}-1})
derivada de (x+y^2)	\frac{d}{dx}((x+y)^{2})
integral de cos(x/5)	\int\:\cos(\frac{x}{5})dx
integral de sqrt(x^2+2)	\int\:\sqrt{x^{2}+2}dx
derivative h^2(2t)	derivative\:h^{2}(2t)
derivative y=3x^2(x-3)^3	derivative\:y=3x^{2}(x-3)^{3}
(dy)/(y(A-y))= k/A dx	\frac{dy}{y(A-y)}=\frac{k}{A}dx
integral de 0 a 1 de 1/(sqrt(2-x^2))	\int\:_{0}^{1}\frac{1}{\sqrt{2-x^{2}}}dx
integral de 1/(sqrt(x^2+4x+4))	\int\:\frac{1}{\sqrt{x^{2}+4x+4}}dx
(\partial)/(\partial y)((5y)/(sqrt(x)))	\frac{\partial\:}{\partial\:y}(\frac{5y}{\sqrt{x}})
derivada de (4x+4/(3x^{2/3)})	\frac{d}{dx}(\frac{4x+4}{3x^{\frac{2}{3}}})
(\partial)/(\partial y)(sqrt(2x+y^3))	\frac{\partial\:}{\partial\:y}(\sqrt{2x+y^{3}})
derivada de (4x^3+1^3)	\frac{d}{dx}((4x^{3}+1)^{3})
área 5-x^2,sin(x),-2.384677,2.0252116	area\:5-x^{2},\sin(x),-2.384677,2.0252116
integral de \sqrt[3]{x^3+1}x^5	\int\:\sqrt[3]{x^{3}+1}x^{5}dx
integral de (1-sin(x))/(cos(x))	\int\:\frac{1-\sin(x)}{\cos(x)}dx
derivada de x+e^{-2x}	\frac{d}{dx}(x+e^{-2x})
x^2ydx+(x^3+3xy^2)dy=0	x^{2}ydx+(x^{3}+3xy^{2})dy=0
ty^'+(1+t)y=t	ty^{\prime\:}+(1+t)y=t
y^{''}+7y^'+12y=2e^t	y^{\prime\:\prime\:}+7y^{\prime\:}+12y=2e^{t}
t^2y^{''}-2ty^'+2y=4t^2	t^{2}y^{\prime\:\prime\:}-2ty^{\prime\:}+2y=4t^{2}
integral de (a+x)^3	\int\:(a+x)^{3}dx
inversalaplace 8e^{-3s}	inverselaplace\:8e^{-3s}
integral de 1 a 2 de (-7ln(x))/(x^2)	\int\:_{1}^{2}\frac{-7\ln(x)}{x^{2}}dx
integral de (-7)/(cos(x)-1)	\int\:\frac{-7}{\cos(x)-1}dx
integral de tan^3(2x)sec^4(2x)	\int\:\tan^{3}(2x)\sec^{4}(2x)dx
integral de x a x+2 de (4t+1)	\int\:_{x}^{x+2}(4t+1)dt
(\partial)/(\partial x)(2cos(xy))	\frac{\partial\:}{\partial\:x}(2\cos(xy))
normal y=2x^3-5x,(1,-3)	normal\:y=2x^{3}-5x,(1,-3)
tangent f(x)=2x^3,(-1,-2)	tangent\:f(x)=2x^{3},(-1,-2)
(\partial)/(\partial x)(1/2 sin(2x-y))	\frac{\partial\:}{\partial\:x}(\frac{1}{2}\sin(2x-y))
(\partial)/(\partial x)((x^3b^4)/(c^2d^4))	\frac{\partial\:}{\partial\:x}(\frac{x^{3}b^{4}}{c^{2}d^{4}})
área y=4x,x=0,y=4	area\:y=4x,x=0,y=4
(dy)/(dx)=((y-xy))/(x^2)	\frac{dy}{dx}=\frac{(y-xy)}{x^{2}}
límite cuando x tiende a 0 de 4-x	\lim\:_{x\to\:0}(4-x)
derivada de-2sqrt(9x^2+8)	\frac{d}{dx}(-2\sqrt{9x^{2}+8})
derivative y=log_{5}(x^4-7)	derivative\:y=\log_{5}(x^{4}-7)
tangent y=x^3-9x,(1,-8)	tangent\:y=x^{3}-9x,(1,-8)
(\partial)/(\partial y)(-e^{-xy^2}*y^2)	\frac{\partial\:}{\partial\:y}(-e^{-xy^{2}}\cdot\:y^{2})
(\partial)/(\partial x)(e^{sin(x^2)})	\frac{\partial\:}{\partial\:x}(e^{\sin(x^{2})})
integral de (5arcsin(x))/(x^2)	\int\:\frac{5\arcsin(x)}{x^{2}}dx
x^3y^'+2x^2y=-3cos(3x)y^{-1/2}	x^{3}y^{\prime\:}+2x^{2}y=-3\cos(3x)y^{-\frac{1}{2}}
y^'+2xy-6=0	y^{\prime\:}+2xy-6=0
derivada de (2x/4)	\frac{d}{dx}(\frac{2x}{4})
inversalaplace s/(s^2+2)	inverselaplace\:\frac{s}{s^{2}+2}
derivative sin(x)ln(3x)	derivative\:\sin(x)\ln(3x)
tangent f(x)=-2x^5+11x^3,\at x=-2	tangent\:f(x)=-2x^{5}+11x^{3},\at\:x=-2
y^{''}+3y^'+y=0	y^{\prime\:\prime\:}+3y^{\prime\:}+y=0
integral de 2 a infinity de 1/(e^x)	\int\:_{2}^{\infty\:}\frac{1}{e^{x}}dx
límite cuando t tiende a-2 de (t+2)/(t^2-4)	\lim\:_{t\to\:-2}(\frac{t+2}{t^{2}-4})
x(dy)/(dx)+10y=9y^2,y(1)=-1	x\frac{dy}{dx}+10y=9y^{2},y(1)=-1
(dy)/(dx)+4x^2y=-10x^2	\frac{dy}{dx}+4x^{2}y=-10x^{2}
derivada de ((x^4+2)/(ln(x)))	\frac{d}{dx}(\frac{(x^{4}+2)}{\ln(x)})
límite cuando x tiende a 6 de x/(x-6)	\lim\:_{x\to\:6}(\frac{x}{x-6})
integral de (3x+2)cos(5x)	\int\:(3x+2)\cos(5x)dx
área y=x(x+2)(x-2),[-2,1]	area\:y=x(x+2)(x-2),[-2,1]
integral de 1 a 4 de-6sqrt(t)ln(t)	\int\:_{1}^{4}-6\sqrt{t}\ln(t)dt
integral de 7ln(x)	\int\:7\ln(x)dx
derivative y= 1/(\sqrt[3]{x-1)}	derivative\:y=\frac{1}{\sqrt[3]{x-1}}
integral de (cos^3(x)sin(x))	\int\:(\cos^{3}(x)\sin(x))dx
derivada de (x-1^{2/3})	\frac{d}{dx}((x-1)^{\frac{2}{3}})
(x^2+y^2)dx+(2xy)dy=0	(x^{2}+y^{2})dx+(2xy)dy=0
y^'=(x^2-y^2)/(xy),y(2)=5	y^{\prime\:}=\frac{x^{2}-y^{2}}{xy},y(2)=5
(\partial)/(\partial y)(e^{xyz^4}yz^4)	\frac{\partial\:}{\partial\:y}(e^{xyz^{4}}yz^{4})
(\partial)/(\partial y)(x^2-2xy+2y^2)	\frac{\partial\:}{\partial\:y}(x^{2}-2xy+2y^{2})
tangent f(x)=x^3-4x,(2,0)	tangent\:f(x)=x^{3}-4x,(2,0)
derivative cos(x)-(sqrt(2))/2 x	derivative\:\cos(x)-\frac{\sqrt{2}}{2}x
límite cuando x tiende a 1^{-1} de-1.6x-0.6	\lim\:_{x\to\:1^{-1}}(-1.6x-0.6)
derivada de cot(3x^2+5)	\frac{d}{dx}(\cot(3x^{2}+5))
derivative pi(2t-3)	derivative\:π(2t-3)
derivative ln(x-2)	derivative\:\ln(x-2)
derivada de (3000/x)	\frac{d}{dx}(\frac{3000}{x})

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