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Problemas populares

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Problemas populares de Cálculo

derivada de xe^x+1	\frac{d}{dx}(xe^{x}+1)
serie de n=1 a infinity de 1-(1/2)^n	\sum\:_{n=1}^{\infty\:}1-(\frac{1}{2})^{n}
límite cuando x tiende a+(-1) de arccos(x)	\lim\:_{x\to\:+(-1)}(\arccos(x))
tangent f(x)= 9/(5+x^2),\at x=4	tangent\:f(x)=\frac{9}{5+x^{2}},\at\:x=4
tangent f(x)=x^2+3,\at x=6	tangent\:f(x)=x^{2}+3,\at\:x=6
integral de (cosh(sqrt(x)))/(sqrt(x))	\int\:\frac{\cosh(\sqrt{x})}{\sqrt{x}}dx
inversalaplace (4-4s)/(4s^2+4s+17)	inverselaplace\:\frac{4-4s}{4s^{2}+4s+17}
f(x)=sec(x)+tan(x)	f(x)=\sec(x)+\tan(x)
integral de 8x-4	\int\:8x-4dx
integral de 4sin^3(6xco)s^36x	\int\:4\sin^{3}(6xco)s^{3}6xdx
(d^2y)/(dt^2)-9y=0	\frac{d^{2}y}{dt^{2}}-9y=0
integral de (pi^3-1)	\int\:(π^{3}-1)dx
d/(dt)(2t+1)	\frac{d}{dt}(2t+1)
integral de sqrt(4x^2+9)	\int\:\sqrt{4x^{2}+9}dx
(\partial)/(\partial y)(ln(x+sqrt(y)))	\frac{\partial\:}{\partial\:y}(\ln(x+\sqrt{y}))
derivative f(x)=6x^{1/5}(x^3-8)	derivative\:f(x)=6x^{\frac{1}{5}}(x^{3}-8)
límite cuando x tiende a 1 de+1/(x-1)	\lim\:_{x\to\:1}(+\frac{1}{x-1})
integral de e^θcos(θ)	\int\:e^{θ}\cos(θ)dθ
(\partial)/(\partial y)((ln(x+2y))/(y^2))	\frac{\partial\:}{\partial\:y}(\frac{\ln(x+2y)}{y^{2}})
integral de 1/(e^x-3)	\int\:\frac{1}{e^{x}-3}dx
derivada de ln(cos(x^2+1))	\frac{d}{dx}(\ln(\cos(x^{2}+1)))
derivative f(v)=e^{2sin(3v)}	derivative\:f(v)=e^{2\sin(3v)}
integral de sin(x)-cos(x)	\int\:\sin(x)-\cos(x)dx
serie de n=1 a infinity de (-3)^n	\sum\:_{n=1}^{\infty\:}(-3)^{n}
(dy)/(dx)=(x-3)/(y+5)	\frac{dy}{dx}=\frac{x-3}{y+5}
serie de n=1 a infinity de 3*(1/5)^n	\sum\:_{n=1}^{\infty\:}3\cdot\:(\frac{1}{5})^{n}
límite cuando n tiende a infinity de n^2e^{-3n}	\lim\:_{n\to\:\infty\:}(n^{2}e^{-3n})
inversalaplace ((s-3))/((s^2+4s+13))	inverselaplace\:\frac{(s-3)}{(s^{2}+4s+13)}
y^'-7y=-x	y^{\prime\:}-7y=-x
y^'=(3100)/(1+0.25t)	y^{\prime\:}=\frac{3100}{1+0.25t}
integral de (5x+4)^5	\int\:(5x+4)^{5}dx
derivada de (3x^4-1(x-1))	\frac{d}{dx}((3x^{4}-1)(x-1))
y^{''}-4y^'-5y=0,y(0)=a,y^'(0)=5	y^{\prime\:\prime\:}-4y^{\prime\:}-5y=0,y(0)=a,y^{\prime\:}(0)=5
(\partial)/(\partial x)(xye^{x-3z})	\frac{\partial\:}{\partial\:x}(xye^{x-3z})
integral de 4arccos(x)	\int\:4\arccos(x)dx
-5/13 (dθ)/(dt)= 1/13 (5)	-\frac{5}{13}\frac{dθ}{dt}=\frac{1}{13}(5)
integral de ((2x+4)/(x^2+4x+8))	\int\:(\frac{2x+4}{x^{2}+4x+8})dx
integral de 3/(sqrt(2-x-x^2))	\int\:\frac{3}{\sqrt{2-x-x^{2}}}dx
integral de 0 a pi/4 de cos(6x)	\int\:_{0}^{\frac{π}{4}}\cos(6x)dx
y^'(e^x-1)ln(y)=y	y^{\prime\:}(e^{x}-1)\ln(y)=y
tangent-(16)/((8x+9)^3)	tangent\:-\frac{16}{(8x+9)^{3}}
(dy)/(dx)=(y^2+y)/(x^2+x)	\frac{dy}{dx}=\frac{y^{2}+y}{x^{2}+x}
integral de 0 a 1 de xe^{-2x}	\int\:_{0}^{1}xe^{-2x}dx
área y=4x^2-1,y=0,x=(-1)/2 ,x=1	area\:y=4x^{2}-1,y=0,x=\frac{-1}{2},x=1
integral de (x+25)/(x^2+24x+148)	\int\:\frac{x+25}{x^{2}+24x+148}dx
y^'=((cos(18x)))/((e^{(18*y)))}	y^{\prime\:}=\frac{(\cos(18x))}{(e^{(18\cdot\:y)})}
integral de 1/2 e^{-1/2 x}	\int\:\frac{1}{2}e^{-\frac{1}{2}x}dx
integral de 1/x+x^2-2	\int\:\frac{1}{x}+x^{2}-2dx
integral de-1 a 0 de 4/(1+(2x+1)^2)	\int\:_{-1}^{0}\frac{4}{1+(2x+1)^{2}}dx
tangent x^3+9x	tangent\:x^{3}+9x
integral de sin(16x)\sqrt[3]{cos(16x)}	\int\:\sin(16x)\sqrt[3]{\cos(16x)}dx
derivada de (2x/(2x+1))	\frac{d}{dx}(\frac{2x}{2x+1})
f(x)=ln(1-3x)	f(x)=\ln(1-3x)
integral de 0 a N de e^{(-st)}sin(5t)	\int\:_{0}^{N}e^{(-st)}\sin(5t)dt
derivada de (2x^2^{1/2})	\frac{d}{dx}((2x^{2})^{\frac{1}{2}})
integral de 1/(sqrt(x)-1)	\int\:\frac{1}{\sqrt{x}-1}dx
límite cuando x tiende a 2 de 2-x^2	\lim\:_{x\to\:2}(2-x^{2})
integral de 1 a e^4 de x^4ln(x)	\int\:_{1}^{e^{4}}x^{4}\ln(x)dx
tangent f(x)=x^2-2x+5,\at x=1	tangent\:f(x)=x^{2}-2x+5,\at\:x=1
derivative sqrt(8+5x)	derivative\:\sqrt{8+5x}
tangent y=x^2+4,(-5,29)	tangent\:y=x^{2}+4,(-5,29)
y^'+36ycot(6x)=42cos(6x)	y^{\prime\:}+36y\cot(6x)=42\cos(6x)
derivative ((x^2))/(1+x)	derivative\:\frac{(x^{2})}{1+x}
integral de 6x(4+x^2)^{1/2}	\int\:6x(4+x^{2})^{\frac{1}{2}}dx
implicit (dy)/(dx),4x^2+5xy-y^2=2	implicit\:\frac{dy}{dx},4x^{2}+5xy-y^{2}=2
laplacetransformación-3sin(4t)	laplacetransform\:-3\sin(4t)
x(dy)/(dx)-x^2+xe^{-x}=0	x\cdot\:\frac{dy}{dx}-x^{2}+x\cdot\:e^{-x}=0
derivada de (x^5/5)	\frac{d}{dx}(\frac{x^{5}}{5})
derivada de 6/(x+1)	\frac{d}{dx}(\frac{6}{x+1})
derivada de cosh(x-(2e^{(-0.3x)}))	\frac{d}{dx}(\cosh(x)-(2e^{(-0.3x)}))
(dP)/(dt)=0.1P(1-P/(830))-1720/83	\frac{dP}{dt}=0.1P(1-\frac{P}{830})-\frac{1720}{83}
d/(dy)(e^x*sin(y))	\frac{d}{dy}(e^{x}\cdot\:\sin(y))
derivative 4y	derivative\:4y
y^{''}-10y^'+25y=0	y^{\prime\:\prime\:}-10y^{\prime\:}+25y=0
(dy)/(dx)+15x^2y=30x^2	\frac{dy}{dx}+15x^{2}y=30x^{2}
serie de n=0 a infinity de (2^n)/(n+1)	\sum\:_{n=0}^{\infty\:}\frac{2^{n}}{n+1}
derivative s/(s^2+1)	derivative\:\frac{s}{s^{2}+1}
derivative-1/((2x+3)^{3/2)}	derivative\:-\frac{1}{(2x+3)^{\frac{3}{2}}}
integral de 5x^3(x-5)^{-4}	\int\:5x^{3}(x-5)^{-4}dx
inversalaplace (s+2)/((s-1)(s+6))	inverselaplace\:\frac{s+2}{(s-1)(s+6)}
área 2x,x^2-4x	area\:2x,x^{2}-4x
y^'+2y=x^2+2x	y^{\prime\:}+2y=x^{2}+2x
integral de 0 a 1 de (2x)/((x^2+2)^3)	\int\:_{0}^{1}\frac{2x}{(x^{2}+2)^{3}}dx
(\partial)/(\partial y)(tan(4+2x^2y^3z^2))	\frac{\partial\:}{\partial\:y}(\tan(4+2x^{2}y^{3}z^{2}))
integral de ((x^4-3x^2+5))/(x^4)	\int\:\frac{(x^{4}-3x^{2}+5)}{x^{4}}dx
integral de (ln(x))^3 1/x	\int\:(\ln(x))^{3}\frac{1}{x}dx
derivative 10x^{1.5}-6x^{0.5}	derivative\:10x^{1.5}-6x^{0.5}
inversalaplace ((2))/((s^2+40s+400))	inverselaplace\:\frac{(2)}{(s^{2}+40s+400)}
integral de 9x+5sin(x)	\int\:9x+5\sin(x)dx
integral de xsin(8x)	\int\:x\sin(8x)dx
serie de n=1 a infinity de 4(-1/7)^{4n}	\sum\:_{n=1}^{\infty\:}4(-\frac{1}{7})^{4n}
integral de xsin(9-x)	\int\:x\sin(9-x)dx
derivada de 2arctan(1/x)	\frac{d}{dx}(2\arctan(\frac{1}{x}))
derivative 7t	derivative\:7t
derivada de cot(pix)	\frac{d}{dx}(\cot(πx))
límite cuando x tiende a 2+de x/(x-3)	\lim\:_{x\to\:2+}(\frac{x}{x-3})
derivada de sqrt(log_{3)(x}*(x^3+2))	\frac{d}{dx}(\sqrt{\log_{3}(x)}\cdot\:(x^{3}+2))
límite cuando n tiende a infinity de 2^{n+1}	\lim\:_{n\to\:\infty\:}(2^{n+1})
integral de 0 a 2pi de e^{2ix}	\int\:_{0}^{2π}e^{2ix}dx
derivative f(x)= 5/(t^2)	derivative\:f(x)=\frac{5}{t^{2}}

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