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Problemas populares

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Problemas populares Cálculo

integral de sqrt(2/(2-x^2))	\int\:\sqrt{\frac{2}{2-x^{2}}}dx
integral de (sin(x))/(cos^4(x))	\int\:\frac{\sin(x)}{\cos^{4}(x)}dx
derivative (5x)/((1+x^2))	derivative\:\frac{5x}{(1+x^{2})}
(\partial)/(\partial x)(x^2*y+(xe^x)/(y^3))	\frac{\partial\:}{\partial\:x}(x^{2}\cdot\:y+\frac{xe^{x}}{y^{3}})
integral de 1/(3+2x^2)	\int\:\frac{1}{3+2x^{2}}dx
integral de (tan(x)+cot(x))	\int\:(\tan(x)+\cot(x))dx
integral de-infinity a 0 de e^{rx}	\int\:_{-\infty\:}^{0}e^{rx}dx
integral de 8e^{x/2}	\int\:8e^{\frac{x}{2}}dx
derivada de (e^x+e^{-x}/5)	\frac{d}{dx}(\frac{e^{x}+e^{-x}}{5})
derivative xcos(2x)	derivative\:x\cos(2x)
integral de 0 a y de 2(x+y)	\int\:_{0}^{y}2(x+y)dx
tangent f(x)=-0.025x^2	tangent\:f(x)=-0.025x^{2}
integral de 21 a infinity de xe^{-x}	\int\:_{21}^{\infty\:}xe^{-x}dx
integral de 1 a 2 de 1/x	\int\:_{1}^{2}\frac{1}{x}dx
(\partial)/(\partial x)(3xyz)	\frac{\partial\:}{\partial\:x}(3xyz)
integral de 1 a 3 de (4x^3-8x+1)	\int\:_{1}^{3}(4x^{3}-8x+1)dx
derivada de 4/x+x^2	\frac{d}{dx}(\frac{4}{x}+x^{2})
integral de 1/(5-3cos(x))	\int\:\frac{1}{5-3\cos(x)}dx
integral de 8e^{4x}(e^{4x}-4)^{1/5}	\int\:8e^{4x}(e^{4x}-4)^{\frac{1}{5}}dx
y^'+1/x y=5x^2	y^{\prime\:}+\frac{1}{x}y=5x^{2}
2y^{''}+26y=0,y(0)=9,y^'(0)=5	2y^{\prime\:\prime\:}+26y=0,y(0)=9,y^{\prime\:}(0)=5
implicit (dy)/(dx),6x^3+7y^3=13xy	implicit\:\frac{dy}{dx},6x^{3}+7y^{3}=13xy
slopeintercept (-1.4)(1.4)	slopeintercept\:(-1.4)(1.4)
integral de sqrt(sin(x))	\int\:\sqrt{\sin(x)}dx
f(x)=x^4e^x	f(x)=x^{4}e^{x}
maclaurin 1/(1-t)	maclaurin\:\frac{1}{1-t}
derivada de (4+2x^2^7)	\frac{d}{dx}((4+2x^{2})^{7})
integral de (4sin(2x)-3cos(3x))	\int\:(4\sin(2x)-3\cos(3x))dx
(dy)/(dt)=y^3,y(0)=1	\frac{dy}{dt}=y^{3},y(0)=1
derivada de (432/x)	\frac{d}{dx}(\frac{432}{x})
integral de (4x^2-7x-12)/(x(x+2)(x-3))	\int\:\frac{4x^{2}-7x-12}{x(x+2)(x-3)}dx
taylor x^3,3	taylor\:x^{3},3
integral de x^{10}e^{x^{11}}	\int\:x^{10}e^{x^{11}}dx
derivada de 7sin^2(x)	\frac{d}{dx}(7\sin^{2}(x))
derivada de (3x^2-1/(x-2))	\frac{d}{dx}(\frac{3x^{2}-1}{x-2})
tangent f(x)=sec(x),\at x=(pi/3)	tangent\:f(x)=\sec(x),\at\:x=(\frac{π}{3})
límite cuando x tiende a-1 de arcos(x)	\lim\:_{x\to\:-1}(ar\cos(x))
integral de 0 a 2 de 2x	\int\:_{0}^{2}2xdx
inverselaplace (s+5)/(s^2+6s+18)	inverselaplace\:\frac{s+5}{s^{2}+6s+18}
y^{''}-6y^'+9y=6x^2+2-12e^{3x}	y^{\prime\:\prime\:}-6y^{\prime\:}+9y=6x^{2}+2-12e^{3x}
y^{''}-3y^'+2y=14sin(2x)+18cos(2x)	y^{\prime\:\prime\:}-3y^{\prime\:}+2y=14\sin(2x)+18\cos(2x)
derivada de 3x^5-2x^4-4x^3	\frac{d}{dx}(3x^{5}-2x^{4}-4x^{3})
(y-sqrt(x^2+y^2))dx-xdy=0	(y-\sqrt{x^{2}+y^{2}})dx-xdy=0
derivative 7x	derivative\:7x
(dx)/(dt)=(((e^tx+1))/(1-e^t))	\frac{dx}{dt}=(\frac{(e^{t}x+1)}{1-e^{t}})
derivative csc(θ)	derivative\:\csc(θ)
y^{''}+12y^'+36y=t^{-2}e^{-6t}	y^{\prime\:\prime\:}+12y^{\prime\:}+36y=t^{-2}e^{-6t}
inverselaplace 1/(3s+1)	inverselaplace\:\frac{1}{3s+1}
y^{''}+14y^'+49y=t^{-2}e^{-7t}	y^{\prime\:\prime\:}+14y^{\prime\:}+49y=t^{-2}e^{-7t}
derivada de sqrt(9+\sqrt{9-x)}	\frac{d}{dx}(\sqrt{9+\sqrt{9-x}})
integral de (15sqrt(x)+sqrt(2))	\int\:(15\sqrt{x}+\sqrt{2})dx
integral de 1/(4y^2+1)	\int\:\frac{1}{4y^{2}+1}dy
integral de 0 a 1 de x	\int\:_{0}^{1}xdx
derivative e^x(7x^2-14x+14)	derivative\:e^{x}(7x^{2}-14x+14)
tangent 4/(x^2)-1/(sqrt(x))	tangent\:\frac{4}{x^{2}}-\frac{1}{\sqrt{x}}
(d^2)/(dx^2)(1/(sqrt(1-x^2)))	\frac{d^{2}}{dx^{2}}(\frac{1}{\sqrt{1-x^{2}}})
integral de 2yarctan(x)	\int\:2y\arctan(x)dy
integral de 6/(sec(2x)-1)	\int\:\frac{6}{\sec(2x)-1}dx
integral de (a-by)^4	\int\:(a-by)^{4}dy
límite cuando x tiende a 5+de x^2+2x-3	\lim\:_{x\to\:5+}(x^{2}+2x-3)
serie de n=0 a infinity de 3n-1	\sum\:_{n=0}^{\infty\:}3n-1
integral de (12)/(1-cos(3x))	\int\:\frac{12}{1-\cos(3x)}dx
(\partial)/(\partial y)(4x^3-4x)	\frac{\partial\:}{\partial\:y}(4x^{3}-4x)
límite cuando x tiende a 3-de sqrt(x-3)	\lim\:_{x\to\:3-}(\sqrt{x-3})
límite cuando x tiende a 1 de (x+9)/(x+1)	\lim\:_{x\to\:1}(\frac{x+9}{x+1})
límite cuando x tiende a-2 de (x^2-1)/(x-1)	\lim\:_{x\to\:-2}(\frac{x^{2}-1}{x-1})
integral de sin(x)(cos(x))^4	\int\:\sin(x)(\cos(x))^{4}dx
integral de (3x^2)/7	\int\:\frac{3x^{2}}{7}dx
y^'=3x^2	y^{\prime\:}=3x^{2}
inverselaplace ((4s^3))/((s+5)^9)	inverselaplace\:\frac{(4s^{3})}{(s+5)^{9}}
límite cuando x tiende a 0 de ln(1-3x)	\lim\:_{x\to\:0}(\ln(1-3x))
y^'+y*tan(x)= 1/(cos(x))	y^{\prime\:}+y\cdot\:\tan(x)=\frac{1}{\cos(x)}
derivative sqrt(x+16)	derivative\:\sqrt{x+16}
(\partial)/(\partial x)(10xyz)	\frac{\partial\:}{\partial\:x}(10xyz)
derivada de 27e^{3x}	\frac{d}{dx}(27e^{3x})
integral de (4x^3+1)ln(x)	\int\:(4x^{3}+1)\ln(x)dx
integral de x*sec^2(2x)	\int\:x\cdot\:\sec^{2}(2x)dx
x^2y^{''}+3xy^'=0	x^{2}y^{\prime\:\prime\:}+3xy^{\prime\:}=0
v+tv^'=((4+v))/((4v-1))	v+tv^{\prime\:}=\frac{(4+v)}{(4v-1)}
y^'=7x-y	y^{\prime\:}=7x-y
derivative f(x)=3x^5(x^3-2x)	derivative\:f(x)=3x^{5}(x^{3}-2x)
integral de 3/(2sqrt(9-x^2))	\int\:\frac{3}{2\sqrt{9-x^{2}}}dx
integral de e^{3x}+1	\int\:e^{3x}+1dx
integral de 12x+24x^2	\int\:12x+24x^{2}dx
derivada de (x-43/(sqrt(x)-\sqrt{43)})	\frac{d}{dx}(\frac{x-43}{\sqrt{x}-\sqrt{43}})
integral de 6sin^4(xco)s^2x	\int\:6\sin^{4}(xco)s^{2}xdx
límite cuando x tiende a 0+de d^2y	\lim\:_{x\to\:0+}(d^{2}y)
x^{''}+4x^'+8x=e^{-2t},x(0)=1,x^'(0)=-2	x^{\prime\:\prime\:}+4x^{\prime\:}+8x=e^{-2t},x(0)=1,x^{\prime\:}(0)=-2
derivada de cos(2x-1)	\frac{d}{dx}(\cos(2x)-1)
integral de 2ln(2x+1)	\int\:2\ln(2x+1)dx
integral de e^{-4x}cos(3x)	\int\:e^{-4x}\cos(3x)dx
integral de (3t^2)/2	\int\:\frac{3t^{2}}{2}dt
integral de sqrt(x)(ln(x))^2	\int\:\sqrt{x}(\ln(x))^{2}dx
derivative f(x)=(2x+6x^2)/((1+6x)^2)	derivative\:f(x)=\frac{2x+6x^{2}}{(1+6x)^{2}}
integral de (x+9)/(x^2+8x+20)	\int\:\frac{x+9}{x^{2}+8x+20}dx
límite cuando x tiende a 9-de \sqrt[4]{9-x}	\lim\:_{x\to\:9-}(\sqrt[4]{9-x})
derivada de (2x+5^{1/2})	\frac{d}{dx}((2x+5)^{\frac{1}{2}})
d/(dt)(6cos(2t))	\frac{d}{dt}(6\cos(2t))
derivada de tan(x^2-1)	\frac{d}{dx}(\tan(x^{2}-1))
integral de 2xyz^3	\int\:2xyz^{3}dy

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