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Problemas populares

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Problemas populares de Cálculo

límite cuando x tiende a 4-de 3(x)-5	\lim\:_{x\to\:4-}(3(x)-5)
derivada de (8e^x+5e^{-x}/8)	\frac{d}{dx}(\frac{8e^{x}+5e^{-x}}{8})
derivative f(x)=sqrt(10-5x)	derivative\:f(x)=\sqrt{10-5x}
integral de (4x^5+2x^3+x-1)/(x^2)	\int\:\frac{4x^{5}+2x^{3}+x-1}{x^{2}}dx
integral de (1/(x^9)-x^9-1/2)	\int\:(\frac{1}{x^{9}}-x^{9}-\frac{1}{2})dx
integral de (x^3+2x^2-3x+4)	\int\:(x^{3}+2x^{2}-3x+4)dx
integral de xe^{-x/6}	\int\:xe^{-\frac{x}{6}}dx
derivada de (2x-5^{1/2})	\frac{d}{dx}((2x-5)^{\frac{1}{2}})
integral de y^2e^{-2y}	\int\:y^{2}e^{-2y}dy
derivative f(x)=xe^{1/x}	derivative\:f(x)=xe^{\frac{1}{x}}
área-cos(x),[0,pi]	area\:-\cos(x),[0,π]
(\partial)/(\partial x)(2y+xe^y)	\frac{\partial\:}{\partial\:x}(2y+xe^{y})
(dy)/(dt)=0.06y-4000	\frac{dy}{dt}=0.06y-4000
tangent 5x^2+2x-3	tangent\:5x^{2}+2x-3
y^'=(x^2e^{(y/x)}+y^2)/(xy)	y^{\prime\:}=\frac{x^{2}\cdot\:e^{(\frac{y}{x})}+y^{2}}{x\cdot\:y}
límite cuando x tiende a 2 de x^2-4x+4	\lim\:_{x\to\:2}(x^{2}-4x+4)
y^{''}+10y^'+25y=0,y(1)=0,y^'(1)=1	y^{\prime\:\prime\:}+10y^{\prime\:}+25y=0,y(1)=0,y^{\prime\:}(1)=1
límite cuando x tiende a 1 de-1.6x+0.6	\lim\:_{x\to\:1}(-1.6x+0.6)
integral de 1/(xln(3x))	\int\:\frac{1}{x\ln(3x)}dx
derivada de sqrt((ln(x+1)/(ln(x)-1)))	\frac{d}{dx}(\sqrt{\frac{\ln(x)+1}{\ln(x)-1}})
límite cuando x tiende a-2 de (2-\|x\|)/(2+x)	\lim\:_{x\to\:-2}(\frac{2-\left\|x\right\|}{2+x})
y^'=2xy+xy^2	y^{\prime\:}=2xy+xy^{2}
laplacetransformación 2cos(t)-2	laplacetransform\:2\cos(t)-2
derivada de ((6x^2+8x+8)/(sqrt(x)))	\frac{d}{dx}(\frac{(6x^{2}+8x+8)}{\sqrt{x}})
integral de 11 a 12.5 de 3e^{-3x}	\int\:_{11}^{12.5}3e^{-3x}dx
límite cuando x tiende a infinity de 2x^5	\lim\:_{x\to\:\infty\:}(2x^{5})
límite cuando x tiende a 0+de x^8ln(x)	\lim\:_{x\to\:0+}(x^{8}\ln(x))
integral de e^{-sxy}	\int\:e^{-sxy}dx
integral de 0 a 1 de 2pi(2-y)(5-5y^2)	\int\:_{0}^{1}2π(2-y)(5-5y^{2})dy
integral de 0 a 4 de 0.125x^2	\int\:_{0}^{4}0.125x^{2}dx
y^{''}+4y=sin(x)	y^{\prime\:\prime\:}+4y=\sin(x)
derivative (2x^2+1)/(x^2+8)	derivative\:\frac{2x^{2}+1}{x^{2}+8}
integral de 0 a 1 de ln(x^2+1)	\int\:_{0}^{1}\ln(x^{2}+1)dx
integral de 1/(x^2+x+1)	\int\:\frac{1}{x^{2}+x+1}dx
derivative-(3(z^2+1))/(z^2)	derivative\:-\frac{3(z^{2}+1)}{z^{2}}
área y^2=6-x,3y=x+12	area\:y^{2}=6-x,3y=x+12
integral de pi a 2pi de 9xsin(x)	\int\:_{π}^{2π}9x\sin(x)dx
serie de n=0 a infinity de 12*626582	\sum\:_{n=0}^{\infty\:}12\cdot\:626582
integral de (2+e^x)/(e^x)	\int\:\frac{2+e^{x}}{e^{x}}dx
serie de n=1 a infinity de 7/(2^{n-1)}	\sum\:_{n=1}^{\infty\:}\frac{7}{2^{n-1}}
integral de (16)/(sec(2x)-1)	\int\:\frac{16}{\sec(2x)-1}dx
derivada de 2e^{2x}+3e^{3x}	\frac{d}{dx}(2e^{2x}+3e^{3x})
límite cuando x tiende a a de [f(x)]^{g(x)}	\lim\:_{x\to\:a}([f(x)]^{g(x)})
límite cuando t tiende a 0 de 3/t-3/(e^t-1)	\lim\:_{t\to\:0}(\frac{3}{t}-\frac{3}{e^{t}-1})
y^'+y=te^{-t}+1	y^{\prime\:}+y=te^{-t}+1
integral de 1/12	\int\:\frac{1}{12}dx
límite cuando x tiende a+0+de 1/x-1/(x^2)	\lim\:_{x\to\:+0+}(\frac{1}{x}-\frac{1}{x^{2}})
(\partial)/(\partial x)(2e^{x-3y})	\frac{\partial\:}{\partial\:x}(2e^{x-3y})
derivative sqrt(x^4+y^4)	derivative\:\sqrt{x^{4}+y^{4}}
integral de (sin(x))/4	\int\:\frac{\sin(x)}{4}dx
tangent f(x)=sqrt(14-x),\at x=5	tangent\:f(x)=\sqrt{14-x},\at\:x=5
(\partial)/(\partial x)(1/x+1/y)	\frac{\partial\:}{\partial\:x}(\frac{1}{x}+\frac{1}{y})
derivada de (4-x^{2/3}^{3/2})	\frac{d}{dx}((4-x^{\frac{2}{3}})^{\frac{3}{2}})
maclaurin e^{-3x^2}	maclaurin\:e^{-3x^{2}}
integral de 1/(4t)	\int\:\frac{1}{4t}dt
límite cuando x tiende a 6 de f(x)-g(x)	\lim\:_{x\to\:6}(f(x)-g(x))
(d^2)/(dx^2)(6cos(3x+3))	\frac{d^{2}}{dx^{2}}(6\cos(3x+3))
inversalaplace 1/(s^2-4)	inverselaplace\:\frac{1}{s^{2}-4}
(xsin(2pix))^'	(x\sin(2πx))^{\prime\:}
integral de 0 a 1 de pi(x-x^4)^2	\int\:_{0}^{1}π(x-x^{4})^{2}dx
laplacetransformación e^{t+7}	laplacetransform\:e^{t+7}
integral de 5xsqrt(1-x^4)	\int\:5x\sqrt{1-x^{4}}dx
derivative x(x^2+4)^5	derivative\:x(x^{2}+4)^{5}
derivative f(x)=5x+2x^2+7e^x	derivative\:f(x)=5x+2x^{2}+7e^{x}
área y=-x^2+1,y=0	area\:y=-x^{2}+1,y=0
integral de 0 a pi de 1/(sqrt(pi-x))	\int\:_{0}^{π}\frac{1}{\sqrt{π-x}}dx
límite cuando x tiende a-5/2 de-x+2	\lim\:_{x\to\:-\frac{5}{2}}(-x+2)
derivada de cos(x-1)	\frac{d}{dx}(\cos(x)-1)
integral de 3/(\sqrt[4]{x^5)}	\int\:\frac{3}{\sqrt[4]{x^{5}}}dx
límite cuando x tiende a 3 de x^2+2x-10	\lim\:_{x\to\:3}(x^{2}+2x-10)
y^{''}+17y=0	y^{\prime\:\prime\:}+17y=0
integral de (x^7)/(1+x^{16)}	\int\:\frac{x^{7}}{1+x^{16}}dx
(sin(y))^'	(\sin(y))^{\prime\:}
normal y=(sqrt(x))/(x+4),(1,0.2)	normal\:y=\frac{\sqrt{x}}{x+4},(1,0.2)
área y= 1/x ,y=x,y= 1/4 x	area\:y=\frac{1}{x},y=x,y=\frac{1}{4}x
integral de x*arcsin(x)	\int\:x\cdot\:\arcsin(x)dx
desarrollar (x^2+x^3)^4	expand\:(x^{2}+x^{3})^{4}
integral de t/((t^2+1)^{7/2)}	\int\:\frac{t}{(t^{2}+1)^{\frac{7}{2}}}dt
área y=2x^2-1,(0,3)	area\:y=2x^{2}-1,(0,3)
y^{''}+4y^'+4y=4e^{-2t}	y^{\prime\:\prime\:}+4y^{\prime\:}+4y=4e^{-2t}
integral de ((x-3))/((x+4)(x-5))	\int\:\frac{(x-3)}{(x+4)(x-5)}dx
derivada de x^3-5x^2+7x-3	\frac{d}{dx}(x^{3}-5x^{2}+7x-3)
(\partial)/(\partial x)(x^2y-1/(xy))	\frac{\partial\:}{\partial\:x}(x^{2}y-\frac{1}{xy})
derivada de arccot(sqrt(x))	\frac{d}{dx}(\arccot(\sqrt{x}))
f(x)=x^2sqrt(9-x^2)	f(x)=x^{2}\sqrt{9-x^{2}}
derivative-1/((1+t)^2)	derivative\:-\frac{1}{(1+t)^{2}}
6y^{''}-y^'-y=0	6y^{\prime\:\prime\:}-y^{\prime\:}-y=0
derivada de 5x^3y^4	\frac{d}{dx}(5x^{3}y^{4})
((dy)/(dx))^2+2e^x(dy)/(dx)+e^{2x}=0	(\frac{dy}{dx})^{2}+2e^{x}\frac{dy}{dx}+e^{2x}=0
derivative 11-x^2	derivative\:11-x^{2}
integral de (x^2)/((9-x^2)^{3/2)}	\int\:\frac{x^{2}}{(9-x^{2})^{\frac{3}{2}}}dx
integral de 1 a 1000 de (37)/(x^3)	\int\:_{1}^{1000}\frac{37}{x^{3}}dx
derivative (1/(y^2)-3/(y^4))(y+7y^3)	derivative\:(\frac{1}{y^{2}}-\frac{3}{y^{4}})(y+7y^{3})
(\partial)/(\partial x)(2xe^{2xy})	\frac{\partial\:}{\partial\:x}(2xe^{2xy})
límite cuando x tiende a+7 de x/(x+7)	\lim\:_{x\to\:+7}(\frac{x}{x+7})
(\partial)/(\partial x)((xe^y)/(3z^2+1))	\frac{\partial\:}{\partial\:x}(\frac{xe^{y}}{3z^{2}+1})
derivative \sqrt[3]{t^2}-5sqrt(t^3)	derivative\:\sqrt[3]{t^{2}}-5\sqrt{t^{3}}
(dy)/(dx)+3xy^3=0,y(0)=1	\frac{dy}{dx}+3xy^{3}=0,y(0)=1
integral de (5e^{2x}-e^x)/(e^{2x)-1}	\int\:\frac{5e^{2x}-e^{x}}{e^{2x}-1}dx
(\partial)/(\partial x)(9x^2y^2)	\frac{\partial\:}{\partial\:x}(9x^{2}y^{2})

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