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Problemas populares Cálculo

y^'=(x^2-y^2)/(xy)	y^{\prime\:}=\frac{x^{2}-y^{2}}{xy}
integral de (x^2-9x+3)	\int\:(x^{2}-9x+3)dx
(\partial)/(\partial x)(xy+ln(x/y))	\frac{\partial\:}{\partial\:x}(xy+\ln(\frac{x}{y}))
integral de (-16x+3)/((x^2+2)^2)	\int\:\frac{-16x+3}{(x^{2}+2)^{2}}dx
(\partial)/(\partial x)(e^{(3x+4y)}cos(5z))	\frac{\partial\:}{\partial\:x}(e^{(3x+4y)}\cos(5z))
(\partial)/(\partial y)(4+x^3+y^3-3xy)	\frac{\partial\:}{\partial\:y}(4+x^{3}+y^{3}-3xy)
derivada de (x^2-9x+20/((x-2)(x+2)))	\frac{d}{dx}(\frac{x^{2}-9x+20}{(x-2)(x+2)})
integral de sinh(6x)	\int\:\sinh(6x)dx
integral de (sin(x))/(1-cos(x))	\int\:\frac{\sin(x)}{1-\cos(x)}dx
derivada de bcos(x+x^2sin(x))	\frac{d}{dx}(b\cos(x)+x^{2}\sin(x))
límite cuando y tiende a-1 de y^3-2y^2+3y-4	\lim\:_{y\to\:-1}(y^{3}-2y^{2}+3y-4)
laplacetransform 1/2+1/2 cos(2t)	laplacetransform\:\frac{1}{2}+\frac{1}{2}\cos(2t)
integral de 0 a 4 de 4/(2x+1)	\int\:_{0}^{4}\frac{4}{2x+1}dx
integral de 2t^2	\int\:2t^{2}dt
laplacetransform cos(3t+5)e^{2t}	laplacetransform\:\cos(3t+5)e^{2t}
integral de 1/(1-x^2)ln((1+x)/(1-x))	\int\:\frac{1}{1-x^{2}}\ln(\frac{1+x}{1-x})dx
integral de 0 a pi/3 de sin(x)	\int\:_{0}^{\frac{π}{3}}\sin(x)dx
serie de n=1 a infinity de 2^{1/n}	\sum\:_{n=1}^{\infty\:}2^{\frac{1}{n}}
(\partial)/(\partial x)(3x^2+2xy)	\frac{\partial\:}{\partial\:x}(3x^{2}+2xy)
integral de 1/(4^x)	\int\:\frac{1}{4^{x}}dx
límite cuando x tiende a-2 de 4x^2-3x+5	\lim\:_{x\to\:-2}(4x^{2}-3x+5)
(sqrt(y^2+1))/(ydy)= x/(dx)	\frac{\sqrt{y^{2}+1}}{ydy}=\frac{x}{dx}
derivada de 2x^2-4x+5	\frac{d}{dx}(2x^{2}-4x+5)
derivative 3e^{6x}	derivative\:3e^{6x}
(\partial)/(\partial x)(16x-4y-6yx)	\frac{\partial\:}{\partial\:x}(16x-4y-6yx)
integral de-1 a 2 de (2-5x+1/2 x^2)	\int\:_{-1}^{2}(2-5x+\frac{1}{2}x^{2})dx
f(x)=(x+9)^{1/2}	f(x)=(x+9)^{\frac{1}{2}}
derivative f(x)=-x^2-x	derivative\:f(x)=-x^{2}-x
derivada de (ln(8)^x)	\frac{d}{dx}((\ln(8))^{x})
(\partial)/(\partial x)(sin^6(3x-4y))	\frac{\partial\:}{\partial\:x}(\sin^{6}(3x-4y))
d/(dy)((4-y)^{1/3})	\frac{d}{dy}((4-y)^{\frac{1}{3}})
límite cuando x tiende a 0 de 3x+5	\lim\:_{x\to\:0}(3x+5)
y^'-6/x y=(y^5)/(x^{20)},y(1)=1	y^{\prime\:}-\frac{6}{x}y=\frac{y^{5}}{x^{20}},y(1)=1
pendiente-3x^4+11x^2	slope\:-3x^{4}+11x^{2}
(\partial)/(\partial y)((1+x^2)/(3y-y^2))	\frac{\partial\:}{\partial\:y}(\frac{1+x^{2}}{3y-y^{2}})
d/(dj)(2i+3j)	\frac{d}{dj}(2i+3j)
derivative x^2-4	derivative\:x^{2}-4
(x^2+1)^'	(x^{2}+1)^{\prime\:}
integral de (e^{x+2})/(e^{x+1)}	\int\:\frac{e^{x+2}}{e^{x+1}}dx
derivative 18cos(θ)+9sin^2(θ)	derivative\:18\cos(θ)+9\sin^{2}(θ)
(d^2)/(dx^2)(5e^{-x^2})	\frac{d^{2}}{dx^{2}}(5e^{-x^{2}})
derivada de 1/(sqrt(x)+1/(sqrt(y)))	\frac{d}{dx}(\frac{1}{\sqrt{x}}+\frac{1}{\sqrt{y}})
tangent f(x)=5e^x+x,\at x=0	tangent\:f(x)=5e^{x}+x,\at\:x=0
derivada de (-e^{-x/2}x+e^{-x/2}/2)	\frac{d}{dx}(\frac{-e^{-\frac{x}{2}}x+e^{-\frac{x}{2}}}{2})
(dy)/(dx)=-7e^{x+y}	\frac{dy}{dx}=-7e^{x+y}
integral de cos(x)x	\int\:\cos(x)xdx
serie de n=0 a infinity de 1/(e^{n^2)}	\sum\:_{n=0}^{\infty\:}\frac{1}{e^{n^{2}}}
integral de 0 a 4 de e^xsin(x)	\int\:_{0}^{4}e^{x}\sin(x)dx
(\partial)/(\partial x)(x^2+3y^3)	\frac{\partial\:}{\partial\:x}(x^{2}+3y^{3})
integral de (100)/(w^2sqrt(25-w^2))	\int\:\frac{100}{w^{2}\sqrt{25-w^{2}}}dw
tangent f(x)=sqrt(1-6x),\at x=-1	tangent\:f(x)=\sqrt{1-6x},\at\:x=-1
derivative (9x)/(sqrt(x))	derivative\:\frac{9x}{\sqrt{x}}
integral de (x^2-2x-5)/((x-1)^2(x^2+1))	\int\:\frac{x^{2}-2x-5}{(x-1)^{2}(x^{2}+1)}dx
límite cuando x tiende a 1 de (3x-2)/(2x-1)	\lim\:_{x\to\:1}(\frac{3x-2}{2x-1})
derivada de arctanh(3x)	\frac{d}{dx}(\arctanh(3x))
límite cuando x tiende a 1-de 8/(x^3-1)	\lim\:_{x\to\:1-}(\frac{8}{x^{3}-1})
integral de e^{1.2t}	\int\:e^{1.2t}dt
derivada de x^2sin^2(x)	\frac{d}{dx}(x^{2}\sin^{2}(x))
y^'-3y=2sin(3x)-cos(3x)	y^{\prime\:}-3y=2\sin(3x)-\cos(3x)
integral de (6x+7)/(x^2+4x+29)	\int\:\frac{6x+7}{x^{2}+4x+29}dx
derivada de (sin^2(x)/(cos(x)))	\frac{d}{dx}(\frac{\sin^{2}(x)}{\cos(x)})
área (-x+2),(-x^2-2x),-2,-1	area\:(-x+2),(-x^{2}-2x),-2,-1
maclaurin (1+x)^{-2/3}	maclaurin\:(1+x)^{-\frac{2}{3}}
tangent y=(1+2x)^{10},(0,1)	tangent\:y=(1+2x)^{10},(0,1)
derivative 5xarcsin(x)	derivative\:5x\arcsin(x)
integral de (1-2y)/(y^2)	\int\:\frac{1-2y}{y^{2}}dy
derivada de e^{x+y}-x	\frac{d}{dx}(e^{x+y}-x)
derivada de cos(sin(6x))	\frac{d}{dx}(\cos(\sin(6x)))
(\partial)/(\partial y)((1+t^2)/(3y-y^2))	\frac{\partial\:}{\partial\:y}(\frac{1+t^{2}}{3y-y^{2}})
derivative (4x^2+6x+6)/(sqrt(x))	derivative\:\frac{4x^{2}+6x+6}{\sqrt{x}}
límite cuando x tiende a pi/2 de 1/(cos(x))	\lim\:_{x\to\:\frac{π}{2}}(\frac{1}{\cos(x)})
derivada de (cos(3x^6)/(2x))	\frac{d}{dx}(\frac{\cos(3)x^{6}}{2x})
límite cuando x tiende a infinity+de 2+1/x	\lim\:_{x\to\:\infty\:+}(2+\frac{1}{x})
integral de (2x^3-x)/(x^4-x^2-25)	\int\:\frac{2x^{3}-x}{x^{4}-x^{2}-25}dx
derivada de 5/(x^3+1/(e^{2x)})	\frac{d}{dx}(\frac{5}{x^{3}}+\frac{1}{e^{2x}})
maclaurin e^{3x}cos(2x)	maclaurin\:e^{3x}\cos(2x)
derivada de (5x^2-7xe^x)	\frac{d}{dx}((5x^{2}-7x)e^{x})
inverselaplace (0.5)/(s^2)	inverselaplace\:\frac{0.5}{s^{2}}
integral de (tan^3(9/z))/(z^2)	\int\:\frac{\tan^{3}(\frac{9}{z})}{z^{2}}
derivada de (log_{2}(x)^2)	\frac{d}{dx}((\log_{2}(x))^{2})
límite cuando x tiende a 1-de (-3x-1)/(x-1)	\lim\:_{x\to\:1-}(\frac{-3x-1}{x-1})
límite cuando x tiende a pi/2 de x-pi/2	\lim\:_{x\to\:\frac{π}{2}}(x-\frac{π}{2})
(\partial)/(\partial z)(x^2+yz)	\frac{\partial\:}{\partial\:z}(x^{2}+yz)
tangent f(x)=x^2+2x,\at x=1	tangent\:f(x)=x^{2}+2x,\at\:x=1
integral de 1/(by^2+b^3)	\int\:\frac{1}{by^{2}+b^{3}}dy
integral de 1/(xsqrt(9x^2+64))	\int\:\frac{1}{x\sqrt{9x^{2}+64}}dx
integral de sqrt(x)(3+10x)	\int\:\sqrt{x}(3+10x)dx
(d^2y)/(dx^2)=4y	\frac{d^{2}y}{dx^{2}}=4y
(dv)/(dt)=v^2+5v+1	\frac{dv}{dt}=v^{2}+5v+1
integral de sqrt(tan(x))sec^2(x)	\int\:\sqrt{\tan(x)}\sec^{2}(x)dx
derivative (2x+3)(3x-4)	derivative\:(2x+3)(3x-4)
integral de pi/9 a infinity de 5/x	\int\:_{\frac{π}{9}}^{\infty\:}\frac{5}{x}dx
derivada de x^2-10x	\frac{d}{dx}(x^{2}-10x)
área y=2x^2,y=2x+6,x=-2	area\:y=2x^{2},y=2x+6,x=-2
derivative f(x)=(3x-2)^2(x^5-x^2)^3	derivative\:f(x)=(3x-2)^{2}(x^{5}-x^{2})^{3}
área x^2-3x,3x+7	area\:x^{2}-3x,3x+7
límite cuando x tiende a-4 de (x-4)^2+2	\lim\:_{x\to\:-4}((x-4)^{2}+2)
derivative 9x^3+7^x+20	derivative\:9x^{3}+7^{x}+20
integral de u/((u-1)^2)	\int\:\frac{u}{(u-1)^{2}}du
integral de (x^4)/(x^5-1)	\int\:\frac{x^{4}}{x^{5}-1}dx

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