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Problemas populares Cálculo

límite cuando x tiende a 3 de (x+2)/(x-3)	\lim\:_{x\to\:3}(\frac{x+2}{x-3})
límite cuando x tiende a 9+de (x-9)/(\|x-9\|)	\lim\:_{x\to\:9+}(\frac{x-9}{\left\|x-9\right\|})
y^{''}+6y^'+9y=12e^{-x}	y^{\prime\:\prime\:}+6y^{\prime\:}+9y=12e^{-x}
derivada de cos((1-e^{8x}/(1+e^{8x)}))	\frac{d}{dx}(\cos(\frac{1-e^{8x}}{1+e^{8x}}))
integral de z/(10^z)	\int\:\frac{z}{10^{z}}dz
derivada de (x^{sin(x})/(cos(x)))	\frac{d}{dx}(\frac{x^{\sin(x)}}{\cos(x)})
límite cuando x tiende a 2+de (x-2)/(\|x-2\|)	\lim\:_{x\to\:2+}(\frac{x-2}{\left\|x-2\right\|})
xe^xln(y+1)dx+(x+1)^2(1/(y+1))dy=0	xe^{x}\ln(y+1)dx+(x+1)^{2}(\frac{1}{y+1})dy=0
integral de ((3sin^3(x)))/(cos(x))	\int\:\frac{(3\sin^{3}(x))}{\cos(x)}dx
integral de (x^3+3)^{1/4}*x^5	\int\:(x^{3}+3)^{\frac{1}{4}}\cdot\:x^{5}dx
laplacetransform te^{-3t}cos(2t)	laplacetransform\:te^{-3t}\cos(2t)
integral de 1 a infinity de 1/(4^x)	\int\:_{1}^{\infty\:}\frac{1}{4^{x}}dx
integral de 3-3x	\int\:3-3xdx
integral de xcos(2x)	\int\:x\cos(2x)dx
derivative y=e^{x^6}	derivative\:y=e^{x^{6}}
(dy)/(dx)+1/3 y=e^xy^4	\frac{dy}{dx}+\frac{1}{3}y=e^{x}y^{4}
(\partial)/(\partial y)(ln(y^2))	\frac{\partial\:}{\partial\:y}(\ln(y^{2}))
derivative f(x)=-1/(sqrt(x))	derivative\:f(x)=-\frac{1}{\sqrt{x}}
taylor (x+3)^{1/2}	taylor\:(x+3)^{\frac{1}{2}}
integral de cos(z/y)	\int\:\cos(\frac{z}{y})dz
tangent f(x)=-3x^2-2x^2-1,\at x=-1	tangent\:f(x)=-3x^{2}-2x^{2}-1,\at\:x=-1
integral de (cos(x))/(5+sin(x))	\int\:\frac{\cos(x)}{5+\sin(x)}dx
derivative sqrt(11t^2+9)	derivative\:\sqrt{11t^{2}+9}
integral de 0 a 3 de 1/(x^2-6x+5)	\int\:_{0}^{3}\frac{1}{x^{2}-6x+5}dx
derivative (6x)/((x^2+3)^2)	derivative\:\frac{6x}{(x^{2}+3)^{2}}
derivative y=7^{x+arccos(x)}	derivative\:y=7^{x+\arccos(x)}
área x^2-4x,2x-x^2	area\:x^{2}-4x,2x-x^{2}
(\partial)/(\partial y)(xe^{y-z^2})	\frac{\partial\:}{\partial\:y}(xe^{y-z^{2}})
derivada de ln(2+e^x)	\frac{d}{dx}(\ln(2+e^{x}))
integral de-1 a 1 de (2x)/((x+7)^2)	\int\:_{-1}^{1}\frac{2x}{(x+7)^{2}}dx
(\partial)/(\partial z)(2xyz)	\frac{\partial\:}{\partial\:z}(2xyz)
6x^2y^'=y^'+3xe^{-y}	6x^{2}y^{\prime\:}=y^{\prime\:}+3xe^{-y}
derivada de-1/2+7/5 x^3	\frac{d}{dx}(-\frac{1}{2}+\frac{7}{5}x^{3})
derivada de (x^3-2x^2+3(7x^2-4x))	\frac{d}{dx}((x^{3}-2x^{2}+3)(7x^{2}-4x))
d/(dy)(ky(1-y/N)(y/M-1))	\frac{d}{dy}(ky(1-\frac{y}{N})(\frac{y}{M}-1))
(dP)/(dt)+P=10,P(0)=4	\frac{dP}{dt}+P=10,P(0)=4
(dy)/(dx)=(-x/y)	\frac{dy}{dx}=(-\frac{x}{y})
derivative 1/(x^{1/2)}	derivative\:\frac{1}{x^{\frac{1}{2}}}
integral de (x^2)/(36+x^2)	\int\:\frac{x^{2}}{36+x^{2}}dx
derivative 1/(6x+7)	derivative\:\frac{1}{6x+7}
derivada de cos(xln(x))	\frac{d}{dx}(\cos(x)\ln(x))
derivada de (sin(6x^3)/(5x))	\frac{d}{dx}(\frac{\sin(6)x^{3}}{5x})
integral de x(ln(x+1))	\int\:x(\ln(x+1))dx
d/(dy)(e^{xy})	\frac{d}{dy}(e^{xy})
integral de 0 a pi/2 de 3cos^5(x)	\int\:_{0}^{\frac{π}{2}}3\cos^{5}(x)dx
derivada de x^{1/4}-4e^x	\frac{d}{dx}(x^{\frac{1}{4}}-4e^{x})
inverselaplace 6/s+16(1/(s^2+16))	inverselaplace\:\frac{6}{s}+16(\frac{1}{s^{2}+16})
(\partial)/(\partial y)(xsqrt(x^2+y^2))	\frac{\partial\:}{\partial\:y}(x\sqrt{x^{2}+y^{2}})
derivada de cos(x+2sin(x))	\frac{d}{dx}(\cos(x)+2\sin(x))
integral de (-2x)/(x^2-1)	\int\:\frac{-2x}{x^{2}-1}dx
(\partial)/(\partial y)(8y-(x+y)^3)	\frac{\partial\:}{\partial\:y}(8y-(x+y)^{3})
derivative 2sin^4(sqrt(x))	derivative\:2\sin^{4}(\sqrt{x})
integral de 1/((2-y)(1-y))	\int\:\frac{1}{(2-y)(1-y)}dy
(\partial)/(\partial x)(2ln(x)+5ln(y))	\frac{\partial\:}{\partial\:x}(2\ln(x)+5\ln(y))
integral de (5x^3+6x)e^{x^2}	\int\:(5x^{3}+6x)e^{x^{2}}dx
integral de 1/(sqrt(9y^2+4))	\int\:\frac{1}{\sqrt{9y^{2}+4}}dy
integral de (sqrt(1-\sqrt{x)})	\int\:(\sqrt{1-\sqrt{x}})dx
laplacetransform e^{-4t}× sin(2t)	laplacetransform\:e^{-4t}\times\:\sin(2t)
tangent 10/3 x^3-5x^2-11x+6	tangent\:\frac{10}{3}x^{3}-5x^{2}-11x+6
integral de x/(sqrt(100x^2-1))	\int\:\frac{x}{\sqrt{100x^{2}-1}}dx
implicit (dy)/(dx),x=y^{18}	implicit\:\frac{dy}{dx},x=y^{18}
derivative g(x)=sqrt(1-x)	derivative\:g(x)=\sqrt{1-x}
y^{''}+y=0,y(0)=1,y^'(0)=0	y^{\prime\:\prime\:}+y=0,y(0)=1,y^{\prime\:}(0)=0
xy^{''}+y^'=20x	xy^{\prime\:\prime\:}+y^{\prime\:}=20x
(\partial)/(\partial y)(e^{2xy^2}+3x)	\frac{\partial\:}{\partial\:y}(e^{2xy^{2}}+3x)
integral de 5x^2ln(x)	\int\:5x^{2}\ln(x)dx
área x=6y-y^2,x=0	area\:x=6y-y^{2},x=0
inverselaplace 2/(s^2+2)	inverselaplace\:\frac{2}{s^{2}+2}
derivada de x(x^4+5^5)	\frac{d}{dx}(x(x^{4}+5)^{5})
serie de n=0 a infinity de ln(n)	\sum\:_{n=0}^{\infty\:}\ln(n)
serie de n=0 a infinity de 3/(10^n)	\sum\:_{n=0}^{\infty\:}\frac{3}{10^{n}}
x^2y^{''}-4xy^'+4y=0	x^{2}y^{\prime\:\prime\:}-4xy^{\prime\:}+4y=0
integral de (cos^3(x)*sin^{-4}(x))	\int\:(\cos^{3}(x)\cdot\:\sin^{-4}(x))dx
límite cuando x tiende a 0+de (2x)^{7x}	\lim\:_{x\to\:0+}((2x)^{7x})
integral de 8cot^3(x)csc^3(x)	\int\:8\cot^{3}(x)\csc^{3}(x)dx
derivative f(t)=sqrt(t+\sqrt{t)}	derivative\:f(t)=\sqrt{t+\sqrt{t}}
integral de 3/(x+2)	\int\:\frac{3}{x+2}dx
integral de 1 a 3 de sqrt(1+4x^2)	\int\:_{1}^{3}\sqrt{1+4x^{2}}dx
(\partial)/(\partial x)(2x-2)	\frac{\partial\:}{\partial\:x}(2x-2)
límite cuando t tiende a 0 de 3/t-3/(t^2+t)	\lim\:_{t\to\:0}(\frac{3}{t}-\frac{3}{t^{2}+t})
integral de 4/(x^5)-3/(x^4)	\int\:\frac{4}{x^{5}}-\frac{3}{x^{4}}dx
integral de-1 a 1 de (3x)/((x+7)^2)	\int\:_{-1}^{1}\frac{3x}{(x+7)^{2}}dx
(\partial)/(\partial y)(cos(x/y))	\frac{\partial\:}{\partial\:y}(\cos(\frac{x}{y}))
simplificar (x^3)/(sqrt(16-x^2))dx	simplify\:\frac{x^{3}}{\sqrt{16-x^{2}}}dx
derivada de 8^{x^8}	\frac{d}{dx}(8^{x^{8}})
integral de (2/(sqrt(x))+2sqrt(x))	\int\:(\frac{2}{\sqrt{x}}+2\sqrt{x})dx
integral de-1 a 1 de (2/(x^2+1))	\int\:_{-1}^{1}(\frac{2}{x^{2}+1})dx
integral de e^{-0.4x}	\int\:e^{-0.4x}dx
límite cuando x tiende a-2 de (x+2)/(x^3+8)	\lim\:_{x\to\:-2}(\frac{x+2}{x^{3}+8})
límite cuando z tiende a 2 de 6z-1	\lim\:_{z\to\:2}(6z-1)
7y^{''}+2y^'=0	7y^{\prime\:\prime\:}+2y^{\prime\:}=0
serie de n=1 a infinity de (-1)/n	\sum\:_{n=1}^{\infty\:}\frac{-1}{n}
integral de 0 a 2 de (x^2-3)/(x+1)	\int\:_{0}^{2}\frac{x^{2}-3}{x+1}dx
derivada de (ln(x)/(2+ln(x)))	\frac{d}{dx}(\frac{\ln(x)}{2+\ln(x)})
límite cuando x tiende a-3 de 2x^2	\lim\:_{x\to\:-3}(2x^{2})
derivada de 8/(x^2-4)	\frac{d}{dx}(\frac{8}{x^{2}-4})
d/(dt)(tsin(2t))	\frac{d}{dt}(t\sin(2t))
(\partial)/(\partial v)(v*e^{{u}(v)})	\frac{\partial\:}{\partial\:v}(v\cdot\:e^{{u}(v)})
derivative f(2)=sin(3x)-4x^4+2x^3+3	derivative\:f(2)=\sin(3x)-4x^{4}+2x^{3}+3
integral de cos(x)(2+4sin^2(x))	\int\:\cos(x)(2+4\sin^{2}(x))dx

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