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Problemas populares Cálculo

integral de (x^2)/(sqrt(9-25x^2))	\int\:\frac{x^{2}}{\sqrt{9-25x^{2}}}dx
y^'=cos^2(t)cos^2(2y)	y^{\prime\:}=\cos^{2}(t)\cos^{2}(2y)
límite cuando x tiende a 0 de 1-cot(x)	\lim\:_{x\to\:0}(1-\cot(x))
(dy)/(dx)=sin(x+y)	\frac{dy}{dx}=\sin(x+y)
derivative f(x)=(4x-1)^{-2}	derivative\:f(x)=(4x-1)^{-2}
derivada de 4x^pi	\frac{d}{dx}(4x^{π})
derivada de sqrt(3cos^3(x))	\frac{d}{dx}(\sqrt{3\cos^{3}(x)})
derivada de (1+cos(x)^8)	\frac{d}{dx}((1+\cos(x))^{8})
y^{''}+16y=e^{-t}	y^{\prime\:\prime\:}+16y=e^{-t}
(\partial)/(\partial x)(e^{-x}cos(x))	\frac{\partial\:}{\partial\:x}(e^{-x}\cos(x))
9yln(x)-xy^'=0	9y\ln(x)-xy^{\prime\:}=0
derivada de (tan(x)/(cos(x)-4x))	\frac{d}{dx}(\frac{\tan(x)}{\cos(x)-4x})
derivative e^{8xy}	derivative\:e^{8xy}
derivative sin(x)*cos(x)	derivative\:\sin(x)\cdot\:\cos(x)
derivative (1.01)^x+0.33^x	derivative\:(1.01)^{x}+0.33^{x}
d/(d{r)}((2k)/({r)}+2pi{r}^2)	\frac{d}{d{r}}(\frac{2k}{{r}}+2π{r}^{2})
(y^2+9)dx-1/((2x+1)^2)dy=0	(y^{2}+9)dx-\frac{1}{(2x+1)^{2}}dy=0
integral de 5xsqrt(1-x^2)	\int\:5x\sqrt{1-x^{2}}dx
derivada de (3x+2/(sqrt(x+1)))	\frac{d}{dx}(\frac{3x+2}{\sqrt{x+1}})
integral de 0 a 1 de 8^x	\int\:_{0}^{1}8^{x}dx
(\partial)/(\partial z)(5e^xcos(yz))	\frac{\partial\:}{\partial\:z}(5e^{x}\cos(yz))
límite cuando x tiende a 0 de (1-7x)^{4/x}	\lim\:_{x\to\:0}((1-7x)^{\frac{4}{x}})
integral de-2 a 3 de f(x)	\int\:_{-2}^{3}f(x)dx
serie de n=0 a infinity de ((x)^n)/(n!)	\sum\:_{n=0}^{\infty\:}\frac{(x)^{n}}{n!}
derivative-3x(5x+4)^6	derivative\:-3x(5x+4)^{6}
integral de 13x	\int\:13xdx
f(t)=e^{6tsin(2t)}	f(t)=e^{6t\sin(2t)}
y^{''}-8y^'-9y=0	y^{\prime\:\prime\:}-8y^{\prime\:}-9y=0
límite cuando x tiende a 3-de \|(x-3)/(x-3)\|	\lim\:_{x\to\:3-}(\left\|\frac{x-3}{x-3}\right\|)
integral de 3/(x^2-8x+25)	\int\:\frac{3}{x^{2}-8x+25}dx
integral de (x^2)/(sqrt((1+x)))	\int\:\frac{x^{2}}{\sqrt{(1+x)}}dx
integral de e^{2t}t	\int\:e^{2t}tdt
(\partial)/(\partial x)(e^{x+xy-2y})	\frac{\partial\:}{\partial\:x}(e^{x+xy-2y})
derivative f(x)=5x^2-6x+6+ln(x)	derivative\:f(x)=5x^{2}-6x+6+\ln(x)
integral de 7/(2x)	\int\:\frac{7}{2x}dx
inverselaplace 1/(s+1)-s-1	inverselaplace\:\frac{1}{s+1}-s-1
derivada de 1/(2sqrt(x)+1/(4x^{3/4)})	\frac{d}{dx}(\frac{1}{2\sqrt{x}}+\frac{1}{4x^{\frac{3}{4}}})
xy^'-y=x^2sin(x)	xy^{\prime\:}-y=x^{2}\sin(x)
(dx)/(dy)=5x(6-x)	\frac{dx}{dy}=5x(6-x)
límite cuando x tiende a 0 de ((1+x)^5-1)/x	\lim\:_{x\to\:0}(\frac{(1+x)^{5}-1}{x})
límite cuando x tiende a 16-de 8/(11+2^{\frac{1){x-16}}}	\lim\:_{x\to\:16-}(\frac{8}{11+2^{\frac{1}{x-16}}})
integral de-2x^4-4x^2-5	\int\:-2x^{4}-4x^{2}-5dx
derivada de cot(pi/2)	\frac{d}{dx}(\cot(\frac{π}{2}))
derivative (f(6x))^2+3	derivative\:(f(6x))^{2}+3
d/(dy)(y^{3/2})	\frac{d}{dy}(y^{\frac{3}{2}})
derivada de 2/((3-x^3))	\frac{d}{dx}(\frac{2}{(3-x)^{3}})
integral de 1/(\sqrt[8]{x^5)-\sqrt[8]{x}}	\int\:\frac{1}{\sqrt[8]{x^{5}}-\sqrt[8]{x}}dx
dx+e^{4x}dy=0	dx+e^{4x}dy=0
derivative y=sin(x^5)	derivative\:y=\sin(x^{5})
derivative xe^{ax}	derivative\:xe^{ax}
derivada de ln(tanh(2x))	\frac{d}{dx}(\ln(\tanh(2x)))
derivada de (5x-3(2x+5)^2)	\frac{d}{dx}((5x-3)(2x+5)^{2})
límite cuando x tiende a-4-de 1/(x+4)	\lim\:_{x\to\:-4-}(\frac{1}{x+4})
y^{''}-10y^'+25y=0,y(0)=1,y(1)=0	y^{\prime\:\prime\:}-10y^{\prime\:}+25y=0,y(0)=1,y(1)=0
derivative 1/(7x)	derivative\:\frac{1}{7x}
(\partial)/(\partial x)(sin(8pit+9x))	\frac{\partial\:}{\partial\:x}(\sin(8πt+9x))
derivada de x-3y	\frac{d}{dx}(x-3y)
integral de-2 a 3 de (42)/(x^4)	\int\:_{-2}^{3}\frac{42}{x^{4}}dx
derivada de 8sqrt(x)-3/(sqrt(x))	\frac{d}{dx}(8\sqrt{x}-\frac{3}{\sqrt{x}})
d/(dt)(5^{2t})	\frac{d}{dt}(5^{2t})
derivada de ae^{2x}	\frac{d}{dx}(ae^{2x})
derivada de-12x-6	\frac{d}{dx}(-12x-6)
integral de 1/(sqrt(x))-1/(e^{2x)}	\int\:\frac{1}{\sqrt{x}}-\frac{1}{e^{2x}}dx
límite cuando x tiende a 0 de sin(2x)csc(3x)	\lim\:_{x\to\:0}(\sin(2x)\csc(3x))
implicit (dp)/(dx),x^2+3px+p^2=79	implicit\:\frac{dp}{dx},x^{2}+3px+p^{2}=79
inverselaplace (3s+5)/(s^2+4s+13)	inverselaplace\:\frac{3s+5}{s^{2}+4s+13}
derivada de e^x(x-7)	\frac{d}{dx}(e^{x}(x-7))
derivative (f(x))/(g(x))	derivative\:\frac{f(x)}{g(x)}
(\partial)/(\partial y)(sin(nx)e^{-ny})	\frac{\partial\:}{\partial\:y}(\sin(nx)e^{-ny})
integral de-4e^{(-x/4)}	\int\:-4e^{(-\frac{x}{4})}dx
integral de e^{4x}sin(3x)	\int\:e^{4x}\sin(3x)dx
f(x)=(cos(x))/x	f(x)=\frac{\cos(x)}{x}
integral de 1/(ax^2+bx)	\int\:\frac{1}{ax^{2}+bx}dx
integral de (sin(2x))/(43+cos^2(x))	\int\:\frac{\sin(2x)}{43+\cos^{2}(x)}dx
y^'+4y=cos(x)	y^{\prime\:}+4y=\cos(x)
área 6x-18,[2,6]	area\:6x-18,[2,6]
integral de-9csc^2(x)	\int\:-9\csc^{2}(x)dx
derivative g(x)=sqrt(9-x^2)	derivative\:g(x)=\sqrt{9-x^{2}}
tangent f(x)=-4-x^2	tangent\:f(x)=-4-x^{2}
integral de-infinity a 0 de 1/(3-9x)	\int\:_{-\infty\:}^{0}\frac{1}{3-9x}dx
integral de (ln(x^2))/(2x)	\int\:\frac{\ln(x^{2})}{2x}dx
(dy)/(dx)= 1/10 y-1/5000 y^2,y(0)=50	\frac{dy}{dx}=\frac{1}{10}y-\frac{1}{5000}y^{2},y(0)=50
límite cuando x tiende a pi de 1	\lim\:_{x\to\:π}(1)
derivative f(x)=(e^{5x})/(2x-5)	derivative\:f(x)=\frac{e^{5x}}{2x-5}
límite cuando x tiende a 1 de (1-x^2)/(ln(x))	\lim\:_{x\to\:1}(\frac{1-x^{2}}{\ln(x)})
derivada de 2e^{-1.5x}cos(3x)	\frac{d}{dx}(2e^{-1.5x}\cos(3x))
integral de e^{2x+y}	\int\:e^{2x+y}dx
integral de (sqrt(4-9x^2))/x	\int\:\frac{\sqrt{4-9x^{2}}}{x}dx
límite cuando x tiende a 0-de (e^x)/x	\lim\:_{x\to\:0-}(\frac{e^{x}}{x})
límite cuando x tiende a 1 de ln(7x)+e^x	\lim\:_{x\to\:1}(\ln(7x)+e^{x})
integral de (5x-2)/(x^2-4)	\int\:\frac{5x-2}{x^{2}-4}dx
y^'=xy^2+2y^2,y(0)=1	y^{\prime\:}=xy^{2}+2y^{2},y(0)=1
derivative f(x)=(2x^2-6x+5)/(2(2x-3))	derivative\:f(x)=\frac{2x^{2}-6x+5}{2(2x-3)}
(dy)/(dx)=sec^2(x)(2+y)^2	\frac{dy}{dx}=\sec^{2}(x)(2+y)^{2}
inverselaplace (s+6)/(s^2+6s+25)	inverselaplace\:\frac{s+6}{s^{2}+6s+25}
integral de (sqrt(t-3))/(sqrt(t+1))	\int\:\frac{\sqrt{t-3}}{\sqrt{t+1}}dt
área y=x^3-2x^2+2,y=3x^2+5x-23	area\:y=x^{3}-2x^{2}+2,y=3x^{2}+5x-23
integral de (x^8)/(1+x^{18)}	\int\:\frac{x^{8}}{1+x^{18}}dx
derivative f(θ)=θsin(θ)	derivative\:f(θ)=θ\sin(θ)
derivative f(x)=(9x^6+8x^3)^4	derivative\:f(x)=(9x^{6}+8x^{3})^{4}

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