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Problemas populares

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Problemas populares Cálculo

serie de n=3 a infinity de 1/(3^n)	\sum\:_{n=3}^{\infty\:}\frac{1}{3^{n}}
derivative (1/(y^2)-7/(y^4))(y+3y^3)	derivative\:(\frac{1}{y^{2}}-\frac{7}{y^{4}})(y+3y^{3})
integral de 1/(e^u)	\int\:\frac{1}{e^{u}}du
integral de (11x^2)/((225+x^2)^2)	\int\:\frac{11x^{2}}{(225+x^{2})^{2}}dx
integral de (sin(3x))/([1+cos(3x)]^4)	\int\:\frac{\sin(3x)}{[1+\cos(3x)]^{4}}dx
derivative 3x^2-5x+1	derivative\:3x^{2}-5x+1
límite cuando x tiende a 0 de 3sin(x)-2	\lim\:_{x\to\:0}(3\sin(x)-2)
integral de e^y-1	\int\:e^{y}-1dy
derivada de (x-1/x ^{5/2})	\frac{d}{dx}((x-\frac{1}{x})^{\frac{5}{2}})
derivative y=((2x-3)/((x^2+4)^2))	derivative\:y=(\frac{2x-3}{(x^{2}+4)^{2}})
slopeintercept (1,4),(4,1)	slopeintercept\:(1,4),(4,1)
derivative y=(2x+e^{-x^2})^3	derivative\:y=(2x+e^{-x^{2}})^{3}
(dP)/(dt)=P(a-bP)	\frac{dP}{dt}=P(a-bP)
área y=2x,y=2x^2-4	area\:y=2x,y=2x^{2}-4
derivada de \|2x+1\|	\frac{d}{dx}(\left\|2x+1\right\|)
integral de 1 a 8 de 2/(x^3)	\int\:_{1}^{8}\frac{2}{x^{3}}dx
(\partial)/(\partial x)((\sqrt[7]{x})^4)	\frac{\partial\:}{\partial\:x}((\sqrt[7]{x})^{4})
límite cuando x tiende a 0+de (-ln(x))^x	\lim\:_{x\to\:0+}((-\ln(x))^{x})
(dy)/(dx)=((3x^2))/(y^2)	\frac{dy}{dx}=\frac{(3x^{2})}{y^{2}}
derivada de x-sin(2x)	\frac{d}{dx}(x-\sin(2x))
límite cuando x tiende a-2 de x(2)	\lim\:_{x\to\:-2}(x(2))
(\partial)/(\partial y)(2e^x)	\frac{\partial\:}{\partial\:y}(2e^{x})
d/(dt)(sec(t)tan(t))	\frac{d}{dt}(\sec(t)\tan(t))
área y=5cos(x),y=5sin(x),0<= x<= pi	area\:y=5\cos(x),y=5\sin(x),0\le\:x\le\:π
derivada de (x^2-1^{1/3})	\frac{d}{dx}((x^{2}-1)^{\frac{1}{3}})
integral de 0sin(nx)	\int\:0\sin(nx)dx
derivada de 3/(x^2-4)	\frac{d}{dx}(\frac{3}{x^{2}-4})
derivative 7xsin(x^2)	derivative\:7x\sin(x^{2})
integral de-cos(x)+sin(x)+4	\int\:-\cos(x)+\sin(x)+4dx
integral de (csc^2(x))/(cot(x)+1)	\int\:\frac{\csc^{2}(x)}{\cot(x)+1}dx
tangent f(x)=(2+5x)(5-4x),\at x=1	tangent\:f(x)=(2+5x)(5-4x),\at\:x=1
y^'-y=5.2	y^{\prime\:}-y=5.2
integral de sin(3z)cos(2)(3z)	\int\:\sin(3z)\cos(2)(3z)dz
tangent f(t)=tcos(2t)e^{-t},\at t=3	tangent\:f(t)=t\cos(2t)e^{-t},\at\:t=3
integral de 1/(sqrt(3x-2))	\int\:\frac{1}{\sqrt{3x-2}}dx
derivada de (18/(x^4))	\frac{d}{dx}(\frac{18}{x^{4}})
integral de 0 a 4 de \|2x-3\|	\int\:_{0}^{4}\left\|2x-3\right\|dx
inverselaplace s/(s+1/2)	inverselaplace\:\frac{s}{s+\frac{1}{2}}
maclaurin e^{-x},5	maclaurin\:e^{-x},5
integral de 1+2/y	\int\:1+\frac{2}{y}dy
derivative 1/(2z^3)	derivative\:\frac{1}{2z^{3}}
y^'=-(2y)/(x+1)+2x	y^{\prime\:}=-\frac{2y}{x+1}+2x
límite cuando x tiende a 4 de x^2-1	\lim\:_{x\to\:4}(x^{2}-1)
integral de xln^5(x)	\int\:x\ln^{5}(x)dx
derivative f(x)=x^4sin(4x)	derivative\:f(x)=x^{4}\sin(4x)
integral de 1 a 2 de 1	\int\:_{1}^{2}1
serie de n=0 a infinity de (pi^n)/(e^n)	\sum\:_{n=0}^{\infty\:}\frac{π^{n}}{e^{n}}
límite cuando t tiende a 1 de 7e^t-3	\lim\:_{t\to\:1}(7e^{t}-3)
área y=(x^2+4)/(3x-x^2),(1,2)	area\:y=\frac{x^{2}+4}{3x-x^{2}},(1,2)
derivative (arccot(x))^5	derivative\:(\arccot(x))^{5}
derivada de 3cos(x-5cot(x))	\frac{d}{dx}(3\cos(x)-5\cot(x))
(xy^2)dx+(1+x^2y)dy=0	(xy^{2})dx+(1+x^{2}y)dy=0
derivada de sqrt((4+8/x ^2+(2+x)^2))	\frac{d}{dx}(\sqrt{(4+\frac{8}{x})^{2}+(2+x)^{2}})
área y=sqrt(x^2-1),x=1,x=3	area\:y=\sqrt{x^{2}-1},x=1,x=3
integral de 3xln(4x)	\int\:3x\ln(4x)dx
derivative f(x)=(3-5x)^9	derivative\:f(x)=(3-5x)^{9}
derivada de cos^2((a-x^3))	\frac{d}{dx}(\cos^{2}((a-x)^{3}))
integral de 7\sqrt[4]{58-7x}-14	\int\:7\sqrt[4]{58-7x}-14dx
laplacetransform t^2cos(8t)	laplacetransform\:t^{2}\cos(8t)
derivada de x^3-8x^2+31x	\frac{d}{dx}(x^{3}-8x^{2}+31x)
(d^2)/(dx^2)(x^2e^x)	\frac{d^{2}}{dx^{2}}(x^{2}e^{x})
serie de n=0 a infinity de-3^n	\sum\:_{n=0}^{\infty\:}-3^{n}
tangent 7/(sqrt(x))	tangent\:\frac{7}{\sqrt{x}}
integral de 1/(sqrt(-x^2+4x-1))	\int\:\frac{1}{\sqrt{-x^{2}+4x-1}}dx
tangent y=x^2-12x+4	tangent\:y=x^{2}-12x+4
integral de e^tsin(3t)	\int\:e^{t}\sin(3t)dt
(\partial)/(\partial x)(x^2sqrt(y))	\frac{\partial\:}{\partial\:x}(x^{2}\sqrt{y})
y=log_{3}(sin(x^2))	y=\log_{3}(\sin(x^{2}))
y^'+2y=xy^{-2}	y^{\prime\:}+2y=xy^{-2}
derivada de (x-1^{2x})	\frac{d}{dx}((x-1)^{2x})
límite cuando x tiende a-2 de 4-x	\lim\:_{x\to\:-2}(4-x)
(dy)/(dx)=(x+y+3)^2	\frac{dy}{dx}=(x+y+3)^{2}
integral de-3 a-1 de 2x^2+3	\int\:_{-3}^{-1}2x^{2}+3dx
derivative e^p(p+sqrt(p))	derivative\:e^{p}(p+\sqrt{p})
integral de t/((t+1)^4)	\int\:\frac{t}{(t+1)^{4}}dt
x*ln(x)=y(1+sqrt(3+y^2))y^'(x),y(1)=1	x\cdot\:\ln(x)=y(1+\sqrt{3+y^{2}})y^{\prime\:}(x),y(1)=1
(\partial)/(\partial y)(xln(x/y)+xy^2)	\frac{\partial\:}{\partial\:y}(x\ln(\frac{x}{y})+xy^{2})
integral de 3-x	\int\:3-xdx
laplacetransform 15t^4e^{4t}+10	laplacetransform\:15t^{4}e^{4t}+10
6t(dy)/(dt)+4y=sqrt(t)	6t\frac{dy}{dt}+4y=\sqrt{t}
integral de e^x(sin(e^x))	\int\:e^{x}(\sin(e^{x}))dx
derivada de-4cos^2(x)	\frac{d}{dx}(-4\cos^{2}(x))
serie de n=1 a infinity de e/pi	\sum\:_{n=1}^{\infty\:}\frac{e}{π}
integral de 0 a 5 de (x-3)/(x^2-5x-6)	\int\:_{0}^{5}\frac{x-3}{x^{2}-5x-6}dx
(\partial)/(\partial x)(sin(x)ln(x^4+1/x))	\frac{\partial\:}{\partial\:x}(\sin(x)\ln(x^{4}+\frac{1}{x}))
e^y+ycos(x)+(xe^y+sin(x))(dy)/(dx)=0	e^{y}+y\cos(x)+(xe^{y}+\sin(x))\frac{dy}{dx}=0
integral de 4x^3-3x^2+6x-1	\int\:4x^{3}-3x^{2}+6x-1dx
derivada de e^{5xy}	\frac{d}{dx}(e^{5xy})
integral de 14(x-5)^6	\int\:14(x-5)^{6}dx
(\partial)/(\partial θ)(z)	\frac{\partial\:}{\partial\:θ}(z)
derivada de (2x-5^{-1}*(4x+3)^{-1})	\frac{d}{dx}((2x-5)^{-1}\cdot\:(4x+3)^{-1})
inverselaplace f(s0)=s-3(s2+4s+13)	inverselaplace\:f(s0)=s-3(s2+4s+13)
integral de 1/(x^5+16x^3+64x)	\int\:\frac{1}{x^{5}+16x^{3}+64x}dx
tangent sqrt(3x+7),\at x=3	tangent\:\sqrt{3x+7},\at\:x=3
integral de-infinity a-1 de 1/(x^2)	\int\:_{-\infty\:}^{-1}\frac{1}{x^{2}}dx
integral de (x^2+1)/x*ln(x)	\int\:\frac{x^{2}+1}{x}\cdot\:\ln(x)dx
derivative 3/(2x+4)+9x^2	derivative\:\frac{3}{2x+4}+9x^{2}
límite cuando x tiende a 0+de (1-2x)^{3/x}	\lim\:_{x\to\:0+}((1-2x)^{\frac{3}{x}})
integral de (sqrt(x)(x+1))/(4x^4)	\int\:\frac{\sqrt{x}(x+1)}{4x^{4}}dx
(\partial)/(\partial x)(yln(x+y))	\frac{\partial\:}{\partial\:x}(y\ln(x+y))

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