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Problemas populares

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Problemas populares Cálculo

derivada de ln((sin(x)/(cos(x))))	\frac{d}{dx}(\ln(\frac{\sin(x)}{\cos(x)}))
f(x)=sqrt(2-x^2)	f(x)=\sqrt{2-x^{2}}
d/(dy)(-x/(y^2))	\frac{d}{dy}(-\frac{x}{y^{2}})
inverselaplace (-3)/((s-3)^2+4)	inverselaplace\:\frac{-3}{(s-3)^{2}+4}
integral de 0 a infinity de 1/(1+x^2)	\int\:_{0}^{\infty\:}\frac{1}{1+x^{2}}dx
límite cuando x tiende a 0 de (4x)/(tan(x))	\lim\:_{x\to\:0}(\frac{4x}{\tan(x)})
integral de [(100)/(25+(5y)^2)+e^4]	\int\:[\frac{100}{25+(5y)^{2}}+e^{4}]dy
y^'=e^{2x}+3y	y^{\prime\:}=e^{2x}+3y
integral de 1/(sqrt(x^2+a^2))	\int\:\frac{1}{\sqrt{x^{2}+a^{2}}}dx
tangent f(x)=5x-x^2,\at x=1	tangent\:f(x)=5x-x^{2},\at\:x=1
y^'=2(1+x)(1+y^2),y(0)=0	y^{\prime\:}=2(1+x)(1+y^{2}),y(0)=0
integral de (x^2+3x-1)*e^{2x}	\int\:(x^{2}+3x-1)\cdot\:e^{2x}dx
(\partial)/(\partial x)(5x^{2y})	\frac{\partial\:}{\partial\:x}(5x^{2y})
tangent 1/(sqrt(x))	tangent\:\frac{1}{\sqrt{x}}
integral de-1 a 1 de 1/(x^3)	\int\:_{-1}^{1}\frac{1}{x^{3}}dx
inverselaplace 5/((s+1)(s^2+4s+3))	inverselaplace\:\frac{5}{(s+1)(s^{2}+4s+3)}
(dh)/(dt)=-sqrt(h)	\frac{dh}{dt}=-\sqrt{h}
derivative sqrt(6-5cos(2x))	derivative\:\sqrt{6-5\cos(2x)}
f(x)=xsqrt(x^2+1)	f(x)=x\sqrt{x^{2}+1}
integral de 0 a 3 de sqrt(10)	\int\:_{0}^{3}\sqrt{10}
integral de sqrt(x)-2^x-3sin(3x)+4e^{2x}	\int\:\sqrt{x}-2^{x}-3\sin(3x)+4e^{2x}dx
integral de (x^3)/(x^2+6x+5)	\int\:\frac{x^{3}}{x^{2}+6x+5}dx
(\partial)/(\partial x)(yx^2)	\frac{\partial\:}{\partial\:x}(yx^{2})
derivative f(z)=e^{z/((z-1))}	derivative\:f(z)=e^{\frac{z}{(z-1)}}
(dy)/(dx)= x/(2y^2)	\frac{dy}{dx}=\frac{x}{2y^{2}}
límite cuando x tiende a 8+de (7-x)/(8-x)	\lim\:_{x\to\:8+}(\frac{7-x}{8-x})
(dy)/(dx)=(cos(11x))/(e^{11y)}	\frac{dy}{dx}=\frac{\cos(11x)}{e^{11y}}
derivative 1-sqrt(x)	derivative\:1-\sqrt{x}
inverselaplace (s+7)/(s^2-3s-10)	inverselaplace\:\frac{s+7}{s^{2}-3s-10}
derivada de (e^{2x}/(x^8))	\frac{d}{dx}(\frac{e^{2x}}{x^{8}})
e^{xy}dx+y/x e^{xy}dy=0	e^{xy}dx+\frac{y}{x}e^{xy}dy=0
derivative sqrt(1-x^2)arcsin(x)	derivative\:\sqrt{1-x^{2}}\arcsin(x)
(\partial)/(\partial x)(((x-y))/(c(a-b)))	\frac{\partial\:}{\partial\:x}(\frac{(x-y)}{c(a-b)})
d/(dt)(8t)	\frac{d}{dt}(8t)
integral de 6 a 8 de x/(x^2+6x+13)	\int\:_{6}^{8}\frac{x}{x^{2}+6x+13}dx
(\partial)/(\partial x)(ln(5x+2y))	\frac{\partial\:}{\partial\:x}(\ln(5x+2y))
tangent 3x^2-4x	tangent\:3x^{2}-4x
taylor e^{x-1},0	taylor\:e^{x-1},0
y+sin(x)=x^3y^'	y+\sin(x)=x^{3}y^{\prime\:}
integral de e^{4y}	\int\:e^{4y}dy
límite cuando x tiende a 0+de x^{6x}	\lim\:_{x\to\:0+}(x^{6x})
derivative sqrt(s)	derivative\:\sqrt{s}
integral de sqrt(400-x^2)	\int\:\sqrt{400-x^{2}}dx
área 5cos(3x),5sin(6x),[0, pi/6 ]	area\:5\cos(3x),5\sin(6x),[0,\frac{π}{6}]
laplacetransform cos(t+pi)	laplacetransform\:\cos(t+π)
derivative 2x^3+3x^2-12x+9	derivative\:2x^{3}+3x^{2}-12x+9
límite cuando x tiende a 0+de (1-x)^{1/x}	\lim\:_{x\to\:0+}((1-x)^{\frac{1}{x}})
(dy)/(dx)=3x^2+1	\frac{dy}{dx}=3x^{2}+1
integral de ((sin(5x))/(cos(5x)))	\int\:(\frac{\sin(5x)}{\cos(5x)})dx
taylor \|x\|	taylor\:\left\|x\right\|
derivada de 1/6 (e^{3x}+e^{-3x})	\frac{d}{dx}(\frac{1}{6}(e^{3x}+e^{-3x}))
(dx)/(dt)=3x(5-x)	\frac{dx}{dt}=3x(5-x)
normal f(x)= 1/(x^2),(-1,1)	normal\:f(x)=\frac{1}{x^{2}},(-1,1)
y^'=0.3y(1-y/(2500))-120	y^{\prime\:}=0.3y(1-\frac{y}{2500})-120
inverselaplace (6s+3)/(s^4+5s^2+4)	inverselaplace\:\frac{6s+3}{s^{4}+5s^{2}+4}
xy^'+4y=8x^4	xy^{\prime\:}+4y=8x^{4}
integral de 27x^7+3x^5-45x^3+sqrt(2x)	\int\:27x^{7}+3x^{5}-45x^{3}+\sqrt{2x}dx
límite cuando x tiende a 0 de sin(x)-x	\lim\:_{x\to\:0}(\sin(x)-x)
integral de (1/(xsqrt(x)))	\int\:(\frac{1}{x\sqrt{x}})dx
integral de x/(2x^2+8x+11)	\int\:\frac{x}{2x^{2}+8x+11}dx
(\partial)/(\partial z)(sqrt(x^y+ln(z)))	\frac{\partial\:}{\partial\:z}(\sqrt{x^{y}+\ln(z)})
integral de (2x-2)	\int\:(2x-2)dx
límite cuando x tiende a-5 de (x^3+125)/(x^2-25)	\lim\:_{x\to\:-5}(\frac{x^{3}+125}{x^{2}-25})
derivative y=8e^{8e^x+x}	derivative\:y=8e^{8e^{x}+x}
integral de ((cos(x)))/x	\int\:\frac{(\cos(x))}{x}dx
integral de cos(5x-7)	\int\:\cos(5x-7)dx
integral de 1/(sqrt(x^2+2x+26))	\int\:\frac{1}{\sqrt{x^{2}+2x+26}}dx
(\partial)/(\partial x)(sin(5x))	\frac{\partial\:}{\partial\:x}(\sin(5x))
tangent f(x)=sqrt(5x+11),\at x=5	tangent\:f(x)=\sqrt{5x+11},\at\:x=5
integral de (2x+2)^3	\int\:(2x+2)^{3}dx
inverselaplace 2/((s^2-2s+9))	inverselaplace\:\frac{2}{(s^{2}-2s+9)}
d/(dt)(e^t(sin(t)+cos(t)))	\frac{d}{dt}(e^{t}(\sin(t)+\cos(t)))
y^{'''}+5y^{''}-8y^'-48y=0	y^{\prime\:\prime\:\prime\:}+5y^{\prime\:\prime\:}-8y^{\prime\:}-48y=0
integral de (e^{ax+b}-e^{bx+a})/(e^{ax)}	\int\:\frac{e^{ax+b}-e^{bx+a}}{e^{ax}}dx
serie de n=0 a infinity de ((2^n))/(n!)	\sum\:_{n=0}^{\infty\:}\frac{(2^{n})}{n!}
límite cuando x tiende a 1 de 3x^4+3x^2-x+2	\lim\:_{x\to\:1}(3x^{4}+3x^{2}-x+2)
(d^2y)/(dt^2)-5(dy)/(dt)+6y=0	\frac{d^{2}y}{dt^{2}}-5\frac{dy}{dt}+6y=0
laplacetransform e^{-1(t+1)}	laplacetransform\:e^{-1(t+1)}
integral de e^{-2x+3}	\int\:e^{-2x+3}dx
taylor x^2e^{2x}	taylor\:x^{2}e^{2x}
derivative 4+7sqrt(x)	derivative\:4+7\sqrt{x}
integral de 7/(x+1)	\int\:\frac{7}{x+1}dx
integral de 2(sec(x))^2	\int\:2(\sec(x))^{2}dx
derivative f(x)= x/5+7/x	derivative\:f(x)=\frac{x}{5}+\frac{7}{x}
derivada de (ax-4sqrt(1+x)/(x^2-1))	\frac{d}{dx}(\frac{ax-4\sqrt{1+x}}{x^{2}-1})
integral de 2/3 x	\int\:\frac{2}{3}xdx
(\partial)/(\partial x)(sqrt(1+x^2+y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{1+x^{2}+y^{2}})
integral de 1-2x a 1+2x de tsin(t)	\int\:_{1-2x}^{1+2x}t\sin(t)dt
derivada de 7sin(3x)	\frac{d}{dx}(7\sin(3x))
4y^{''}-y=xe^{x/2}	4y^{\prime\:\prime\:}-y=xe^{\frac{x}{2}}
límite cuando x tiende a-2.4 de x	\lim\:_{x\to\:-2.4}(x)
maclaurin xcos(x^3)	maclaurin\:x\cos(x^{3})
derivada de (sqrt(x)/((9+x)))	\frac{d}{dx}(\frac{\sqrt{x}}{(9+x)})
integral de sin(y)sin(x)	\int\:\sin(y)\sin(x)dy
integral de e^{ln(x+2)}	\int\:e^{\ln(x+2)}dx
y^{''}+1.9*y^'=0,y(0)=0,y^'(0)=1	y^{\prime\:\prime\:}+1.9\cdot\:y^{\prime\:}=0,y(0)=0,y^{\prime\:}(0)=1
integral de x/(x^2+x-1)	\int\:\frac{x}{x^{2}+x-1}dx
derivada de sec(8x^3+1)	\frac{d}{dx}(\sec(8x^{3}+1))
tangent f(x)=18sqrt(x),\at x=9	tangent\:f(x)=18\sqrt{x},\at\:x=9
integral de 0 a 2 de 1/(x^2-4)	\int\:_{0}^{2}\frac{1}{x^{2}-4}dx

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