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Problemas populares Cálculo

y^'=x+y,y(0)=0	y^{\prime\:}=x+y,y(0)=0
derivada de 2-3x^2	\frac{d}{dx}(2-3x^{2})
(\partial)/(\partial y)(x^{3/4}y^{1/4})	\frac{\partial\:}{\partial\:y}(x^{\frac{3}{4}}y^{\frac{1}{4}})
área y=x^2,y=4	area\:y=x^{2},y=4
derivative f(t)=e^{5tsin(2t)}	derivative\:f(t)=e^{5t\sin(2t)}
límite cuando x tiende a 2 de 3x^4+4x^3-x+2	\lim\:_{x\to\:2}(3x^{4}+4x^{3}-x+2)
4y^{''}-4y^'+13y=0	4y^{\prime\:\prime\:}-4y^{\prime\:}+13y=0
(\partial)/(\partial y)(yz)	\frac{\partial\:}{\partial\:y}(yz)
derivada de sqrt(x)-2sqrt(y)	\frac{d}{dx}(\sqrt{x}-2\sqrt{y})
integral de (sqrt(x))/(sqrt(x)+1)	\int\:\frac{\sqrt{x}}{\sqrt{x}+1}dx
integral de 1/((10+x)^2)	\int\:\frac{1}{(10+x)^{2}}dx
integral de x^3sqrt(3-x^2)	\int\:x^{3}\sqrt{3-x^{2}}dx
derivada de (x^6/(1-x^5))	\frac{d}{dx}(\frac{x^{6}}{1-x^{5}})
integral de 4/(sqrt(x^2+9))	\int\:\frac{4}{\sqrt{x^{2}+9}}dx
integral de 0 a 5 de 1/4 (5-x)sqrt(x)	\int\:_{0}^{5}\frac{1}{4}(5-x)\sqrt{x}dx
d/(dt)({v}(t)t)	\frac{d}{dt}({v}(t)t)
(\partial)/(\partial x)(x^2-2xy)	\frac{\partial\:}{\partial\:x}(x^{2}-2xy)
integral de (4+x^2)/(sqrt(x))	\int\:\frac{4+x^{2}}{\sqrt{x}}dx
límite cuando x tiende a-3 de x^2-9	\lim\:_{x\to\:-3}(x^{2}-9)
límite cuando x tiende a 7-de 2/(x+7)	\lim\:_{x\to\:7-}(\frac{2}{x+7})
derivada de e^{(1/x})	\frac{d}{dx}(e^{(\frac{1}{x})})
derivada de ln\|tan(x\|)	\frac{d}{dx}(\ln\left\|\tan(x)\right\|)
área 1/(x+1),((x-1))/2 ,0,4	area\:\frac{1}{x+1},\frac{(x-1)}{2},0,4
área x^2,\sqrt[3]{x}	area\:x^{2},\sqrt[3]{x}
integral de 2y^2cos(9y)	\int\:2y^{2}\cos(9y)dy
pendiente y^5+3x^2y^2+5x^4=49,(-1,2)	slope\:y^{5}+3x^{2}y^{2}+5x^{4}=49,(-1,2)
y^'=(ty^2-1)y,y(1)= 1/(sqrt(2))	y^{\prime\:}=(ty^{2}-1)y,y(1)=\frac{1}{\sqrt{2}}
integral de 1-e^{3x}	\int\:1-e^{3x}dx
tangent f(x)= 3/x ,(3,1)	tangent\:f(x)=\frac{3}{x},(3,1)
x^2y^'+4xy=(sin(2x))/(x^2)	x^{2}y^{\prime\:}+4xy=\frac{\sin(2x)}{x^{2}}
derivada de Ce^{-x}	\frac{d}{dx}(Ce^{-x})
integral de w/((1+w)^{3/4)}	\int\:\frac{w}{(1+w)^{\frac{3}{4}}}dw
límite cuando x tiende a 0 de 4/(sin(5x))	\lim\:_{x\to\:0}(\frac{4}{\sin(5x)})
y^'=-xe^{-x+y}	y^{\prime\:}=-xe^{-x+y}
integral de ((3x+5))/(x^2+2x+1)	\int\:\frac{(3x+5)}{x^{2}+2x+1}dx
(\partial)/(\partial x)(x+4)	\frac{\partial\:}{\partial\:x}(x+4)
límite cuando x tiende a 5 de-x^2+9x-7	\lim\:_{x\to\:5}(-x^{2}+9x-7)
derivada de (3x^5-1^7)	\frac{d}{dx}((3x^{5}-1)^{7})
integral de (e^u)/((3-e^u)^2)	\int\:\frac{e^{u}}{(3-e^{u})^{2}}du
laplacetransform e^{(,\at)}	laplacetransform\:e^{(,\at\:)}
derivada de x/(x+y/x)	\frac{d}{dx}(\frac{x}{x+\frac{y}{x}})
integral de cos^8(x)sin(x)	\int\:\cos^{8}(x)\sin(x)dx
integral de cos(5t)	\int\:\cos(5t)dt
límite cuando x tiende a 1-de 4x	\lim\:_{x\to\:1-}(4x)
inverselaplace s/(s+8)	inverselaplace\:\frac{s}{s+8}
(\partial)/(\partial x)((x+y)*e^{x+2y})	\frac{\partial\:}{\partial\:x}((x+y)\cdot\:e^{x+2y})
área 4-(x-2)^2,5-(x-4)^2,2,4	area\:4-(x-2)^{2},5-(x-4)^{2},2,4
integral de sqrt(4cos^2(2x)+4sin^2(2x))	\int\:\sqrt{4\cos^{2}(2x)+4\sin^{2}(2x)}dx
d/(dy)(e^{x^2-y^2})	\frac{d}{dy}(e^{x^{2}-y^{2}})
límite cuando x tiende a-infinity de 1/(4x)	\lim\:_{x\to\:-\infty\:}(\frac{1}{4x})
d/(dy)(x^{(1+y)})	\frac{d}{dy}(x^{(1+y)})
derivada de (dy/(dx))+y=0	\frac{d}{dx}(\frac{dy}{dx})+y=0
límite cuando x tiende a-1.8 de-3x+18.4	\lim\:_{x\to\:-1.8}(-3x+18.4)
y^'=e^{t+y}	y^{\prime\:}=e^{t+y}
(\partial)/(\partial x)(-3cos(x))	\frac{\partial\:}{\partial\:x}(-3\cos(x))
inverselaplace 1/(s(12s^2+10s+1))	inverselaplace\:\frac{1}{s(12s^{2}+10s+1)}
derivada de 5e^{-5x}	\frac{d}{dx}(5e^{-5x})
serie de n=0 a infinity de 2/(4n^2-1)	\sum\:_{n=0}^{\infty\:}\frac{2}{4n^{2}-1}
derivative y=sqrt(1-x^2)arcsin(x)	derivative\:y=\sqrt{1-x^{2}}\arcsin(x)
integral de (e^x+1)/2	\int\:\frac{e^{x}+1}{2}dx
derivative (-x^2-8)/((x^2-8)^2)	derivative\:\frac{-x^{2}-8}{(x^{2}-8)^{2}}
integral de 1/3 a 5 de 14xln(3x)	\int\:_{\frac{1}{3}}^{5}14x\ln(3x)dx
inverselaplace ((e^{-s}))/(s^2-6s+9)	inverselaplace\:\frac{(e^{-s})}{s^{2}-6s+9}
y^'=(2y)/t+t	y^{\prime\:}=\frac{2y}{t}+t
integral de (1-u)/(1+u)	\int\:\frac{1-u}{1+u}du
límite cuando x tiende a 0 de 2sin(x)-1	\lim\:_{x\to\:0}(2\sin(x)-1)
integral de ((ln(x))/(x^2))	\int\:(\frac{\ln(x)}{x^{2}})dx
d/(dz)(sqrt(1-z^2))	\frac{d}{dz}(\sqrt{1-z^{2}})
integral de-1 a 2 de (x^3)/3	\int\:_{-1}^{2}\frac{x^{3}}{3}dx
integral de xe^{-9x}	\int\:xe^{-9x}dx
(-2xy^2+1y)dx+(-2x^2y+1x)dy=0	(-2xy^{2}+1y)dx+(-2x^{2}y+1x)dy=0
taylor (x^2+9)^{-3}	taylor\:(x^{2}+9)^{-3}
derivada de xsec^2(pix)	\frac{d}{dx}(x\sec^{2}(πx))
límite cuando x tiende a-0 de 2xe^{2x}+kx	\lim\:_{x\to\:-0}(2xe^{2x}+kx)
integral de 1+2/t	\int\:1+\frac{2}{t}dt
integral de (cos(x)+1/3 x)	\int\:(\cos(x)+\frac{1}{3}x)dx
integral de e^{x-1}+x^{-2}	\int\:e^{x-1}+x^{-2}dx
integral de-x^2+3x	\int\:-x^{2}+3xdx
derivada de (x-cos(x)/(x^2+cot(x)))	\frac{d}{dx}(\frac{x-\cos(x)}{x^{2}+\cot(x)})
derivada de (9x^2/(sqrt(x)))	\frac{d}{dx}(\frac{9x^{2}}{\sqrt{x}})
(dy)/(dx)-y/x =5xe^x	\frac{dy}{dx}-\frac{y}{x}=5xe^{x}
integral de 2/(-sin(t)+1)	\int\:\frac{2}{-\sin(t)+1}dt
derivada de 1/(log_{e(x)})	\frac{d}{dx}(\frac{1}{\log_{e}(x)})
integral de (3x^3)/(x^3-4x)	\int\:\frac{3x^{3}}{x^{3}-4x}dx
maclaurin (6n-1)(-2x)^n	maclaurin\:(6n-1)(-2x)^{n}
(dy)/(dx)=ky^2	\frac{dy}{dx}=ky^{2}
tangent f(x)=sqrt(2x),(8,4)	tangent\:f(x)=\sqrt{2x},(8,4)
integral de y^2e^{xy}+cos(x)	\int\:y^{2}e^{xy}+\cos(x)dx
(\partial)/(\partial y)(1-y^3)	\frac{\partial\:}{\partial\:y}(1-y^{3})
(dy)/(dx)=(1+x)/(sqrt(y))	\frac{dy}{dx}=\frac{1+x}{\sqrt{y}}
límite cuando x tiende a 0 de 7/(x^2+x)-7/x	\lim\:_{x\to\:0}(\frac{7}{x^{2}+x}-\frac{7}{x})
(\partial)/(\partial x)((xy)/(x+1))	\frac{\partial\:}{\partial\:x}(\frac{xy}{x+1})
inverselaplace ((s+2))/((s+1)^2)	inverselaplace\:\frac{(s+2)}{(s+1)^{2}}
(\partial)/(\partial z)(xyz+xy^5+yz^5+zx^5)	\frac{\partial\:}{\partial\:z}(xyz+xy^{5}+yz^{5}+zx^{5})
f(x)=2e^{3x}	f(x)=2e^{3x}
laplacetransform-4e^{4t}	laplacetransform\:-4e^{4t}
(\partial)/(\partial y)(cos(x))	\frac{\partial\:}{\partial\:y}(\cos(x))
7y^{''}+26y=0	7y^{\prime\:\prime\:}+26y=0
derivative (-5)/(6x^6)	derivative\:\frac{-5}{6x^{6}}
derivada de (0.3(9^x)/(x^3))	\frac{d}{dx}(\frac{0.3(9^{x})}{x^{3}})

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