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Problemas populares

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Problemas populares Cálculo

integral de 0 a pi de xcos(nx)	\int\:_{0}^{π}x\cos(nx)dx
inverselaplace (s+1)/(s(s^2+2s+5))	inverselaplace\:\frac{s+1}{s(s^{2}+2s+5)}
tangent (x-1)/(2-x)	tangent\:\frac{x-1}{2-x}
integral de 25 a x de sqrt(1+9t)	\int\:_{25}^{x}\sqrt{1+9t}dt
derivada de 6x^2-6x	\frac{d}{dx}(6x^{2}-6x)
integral de 1 a 3 de 15r^3ln(r)	\int\:_{1}^{3}15r^{3}\ln(r)dr
y^{''}+2y^'+y=sin(x)+3cos(2x)	y^{\prime\:\prime\:}+2y^{\prime\:}+y=\sin(x)+3\cos(2x)
integral de (9x)^5sqrt((9x)^3+1)	\int\:(9x)^{5}\sqrt{(9x)^{3}+1}dx
integral de (x^2-3)/((x^2+1)(x-1))	\int\:\frac{x^{2}-3}{(x^{2}+1)(x-1)}dx
t(dy)/(dt)=t^3+18t^3y	t\frac{dy}{dt}=t^{3}+18t^{3}y
integral de cos(x)(1+4sin^2(x))	\int\:\cos(x)(1+4\sin^{2}(x))dx
derivada de \sqrt[3]{1-x^2}	\frac{d}{dx}(\sqrt[3]{1-x^{2}})
tangent f(x)=sqrt(x),\at x=25	tangent\:f(x)=\sqrt{x},\at\:x=25
derivada de-4/((x-4^2))	\frac{d}{dx}(-\frac{4}{(x-4)^{2}})
integral de (2x+4)/(x^2+4x+13)	\int\:\frac{2x+4}{x^{2}+4x+13}dx
serie de n=0 a infinity de 1400700	\sum\:_{n=0}^{\infty\:}1400700
serie de n=1 a infinity de (5/n)^4	\sum\:_{n=1}^{\infty\:}(\frac{5}{n})^{4}
derivative f(x)=(x+7)/(8x)	derivative\:f(x)=\frac{x+7}{8x}
derivada de 1/(sin^3(x))	\frac{d}{dx}(\frac{1}{\sin^{3}(x)})
tangent y= 7/(sqrt(x))	tangent\:y=\frac{7}{\sqrt{x}}
(\partial)/(\partial x)(x^2(x-2)^4)	\frac{\partial\:}{\partial\:x}(x^{2}(x-2)^{4})
x^2y^{''}+3xy^'-3y=0,y(1)=0,y^'(1)=5	x^{2}y^{\prime\:\prime\:}+3xy^{\prime\:}-3y=0,y(1)=0,y^{\prime\:}(1)=5
integral de 0 a pi/4 de xsin(12x)	\int\:_{0}^{\frac{π}{4}}x\sin(12x)dx
integral de 4/(\sqrt[3]{x^2)}	\int\:\frac{4}{\sqrt[3]{x^{2}}}dx
y^{''}-4y^'-5y=-2,y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}-4y^{\prime\:}-5y=-2,y(0)=0,y^{\prime\:}(0)=0
derivada de e^{3x}cos(x)	\frac{d}{dx}(e^{3x}\cos(x))
derivada de ((x^2+1)/(x^2-1))	\frac{d}{dx}(\frac{(x^{2}+1)}{x^{2}-1})
integral de (pi-x)cos(pix)	\int\:(π-x)\cos(πx)dx
límite cuando x tiende a 1 de (x-1)/(x^3-1)	\lim\:_{x\to\:1}(\frac{x-1}{x^{3}-1})
y^{''}-4y^'-12y=0	y^{\prime\:\prime\:}-4y^{\prime\:}-12y=0
derivative 2y	derivative\:2y
implicit (dy)/(dx),y=arccos(4x^2)	implicit\:\frac{dy}{dx},y=\arccos(4x^{2})
integral de 3sin(2x)cos(3x)	\int\:3\sin(2x)\cos(3x)dx
integral de 0 a 4 de ((4-x)sqrt(x))	\int\:_{0}^{4}((4-x)\sqrt{x})dx
(dy)/(dx)=e^{4x}-3y	\frac{dy}{dx}=e^{4x}-3y
límite cuando x tiende a infinity de x^2y^2	\lim\:_{x\to\:\infty\:}(x^{2}y^{2})
derivative f(x)=(3x-9)/(2x+8)	derivative\:f(x)=\frac{3x-9}{2x+8}
integral de (-x^2-x+6)	\int\:(-x^{2}-x+6)dx
integral de \sqrt[3]{x}-cos(x)	\int\:\sqrt[3]{x}-\cos(x)dx
tangent y=(x^4+2/x),(1,3)	tangent\:y=(x^{4}+\frac{2}{x}),(1,3)
(d^2)/(dx^2)(ln(x+1))	\frac{d^{2}}{dx^{2}}(\ln(x+1))
integral de (x^2+3)ln(2x)	\int\:(x^{2}+3)\ln(2x)dx
integral de 9/((t^2+1)^{3/2)}	\int\:\frac{9}{(t^{2}+1)^{\frac{3}{2}}}dt
derivative y=x^{5x}	derivative\:y=x^{5x}
integral de-1 a 1 de (\sqrt[3]{t}-5)	\int\:_{-1}^{1}(\sqrt[3]{t}-5)dt
integral de ((1+ln(x))^3)/x	\int\:\frac{(1+\ln(x))^{3}}{x}dx
integral de (3x+1)(4-x)	\int\:(3x+1)(4-x)dx
derivative ((sqrt(x)-2))/(sqrt(x)+3)	derivative\:\frac{(\sqrt{x}-2)}{\sqrt{x}+3}
derivada de 3xsqrt(y)	\frac{d}{dx}(3x\sqrt{y})
inverselaplace (2x)/((x^2+4)^2)	inverselaplace\:\frac{2x}{(x^{2}+4)^{2}}
derivada de ln(arctan(8x^5))	\frac{d}{dx}(\ln(\arctan(8x^{5})))
derivada de x^3(x-2^2)	\frac{d}{dx}(x^{3}(x-2)^{2})
integral de \sqrt[3]{x}*(x+1)^2	\int\:\sqrt[3]{x}\cdot\:(x+1)^{2}dx
(1+y^2+xy^2)dx+(x^2y+y+2xy)dy=0	(1+y^{2}+xy^{2})dx+(x^{2}y+y+2xy)dy=0
derivada de x^{0.6}	\frac{d}{dx}(x^{0.6})
área y=x,y=12x,x=9	area\:y=x,y=12x,x=9
laplacetransform 5x	laplacetransform\:5x
tangent f(x)= 6/(x-1)	tangent\:f(x)=\frac{6}{x-1}
integral de (\sqrt[4]{x^3}+1)	\int\:(\sqrt[4]{x^{3}}+1)dx
derivada de (1/((x^3-x+1^2))^4)	\frac{d}{dx}((\frac{1}{(x^{3}-x+1)^{2}})^{4})
integral de \sqrt[3]{x^2}(2x^2+1/(x^3))	\int\:\sqrt[3]{x^{2}}(2x^{2}+\frac{1}{x^{3}})dx
derivada de 16-x^{2/3}	\frac{d}{dx}(16-x^{\frac{2}{3}})
derivative cos((pix)^6)	derivative\:\cos((πx)^{6})
derivada de xsqrt(x^2-16)	\frac{d}{dx}(x\sqrt{x^{2}-16})
inverselaplace (10)/(s^2+s+10)	inverselaplace\:\frac{10}{s^{2}+s+10}
derivada de sqrt(e^{2x)+1}	\frac{d}{dx}(\sqrt{e^{2x}+1})
tangent f(x)= 3/(x+1),\at x=7	tangent\:f(x)=\frac{3}{x+1},\at\:x=7
2y^{''}+8y^'+80y=60cos(8t)	2y^{\prime\:\prime\:}+8y^{\prime\:}+80y=60\cos(8t)
(\partial)/(\partial x)(e^{x+y})	\frac{\partial\:}{\partial\:x}(e^{x+y})
serie de n=0 a infinity de (x)^n	\sum\:_{n=0}^{\infty\:}(x)^{n}
integral de 1/(t^4+16)	\int\:\frac{1}{t^{4}+16}dt
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 3 de (x+2)/(x+3)	\lim\:_{x\to\:3}(\frac{x+2}{x+3})
integral de (2x^3+5cos(x)+e^x)	\int\:(2x^{3}+5\cos(x)+e^{x})dx
integral de sqrt(x(1-x))	\int\:\sqrt{x(1-x)}dx
integral de cos(1/4 x)	\int\:\cos(\frac{1}{4}x)dx
laplacetransform-6	laplacetransform\:-6
serie de n=1 a infinity de 2*0.3^n	\sum\:_{n=1}^{\infty\:}2\cdot\:0.3^{n}
integral de (3x^2+4)/((x^2-2x+2)^2)	\int\:\frac{3x^{2}+4}{(x^{2}-2x+2)^{2}}dx
integral de 1/(2+e^x)	\int\:\frac{1}{2+e^{x}}dx
integral de t+6	\int\:t+6dt
derivative f(x)=(3x^5-7x^2-4)/(x^2)	derivative\:f(x)=\frac{3x^{5}-7x^{2}-4}{x^{2}}
límite cuando x tiende a 0 de cot^3(x)	\lim\:_{x\to\:0}(\cot^{3}(x))
derivada de (tan(20x)/(x^{2/3)+3x})	\frac{d}{dx}(\frac{\tan(20x)}{x^{\frac{2}{3}}+3x})
límite cuando x tiende a 0 de x/(ln(x+1))	\lim\:_{x\to\:0}(\frac{x}{\ln(x+1)})
(\partial)/(\partial x)((x^4+y^4)/(x^2+y^2))	\frac{\partial\:}{\partial\:x}(\frac{x^{4}+y^{4}}{x^{2}+y^{2}})
derivada de 5sin^3(x)	\frac{d}{dx}(5\sin^{3}(x))
f(x)=2xe^x	f(x)=2xe^{x}
y^'+x(y^2+y)=0	y^{\prime\:}+x(y^{2}+y)=0
derivada de 3cos(x/2)	\frac{d}{dx}(3\cos(\frac{x}{2}))
implicit (dy)/(dx),y=-x/y	implicit\:\frac{dy}{dx},y=-\frac{x}{y}
integral de e^{(-x^2)/2}	\int\:e^{\frac{-x^{2}}{2}}dx
d/(dt)((2t)/(sqrt(1+4t^2)))	\frac{d}{dt}(\frac{2t}{\sqrt{1+4t^{2}}})
integral de 0 a 1 de pi(2x^2)^2	\int\:_{0}^{1}π(2x^{2})^{2}dx
y^{''}+4y=2sec(2t)	y^{\prime\:\prime\:}+4y=2\sec(2t)
tangent 4x^2+5x,\at x=3	tangent\:4x^{2}+5x,\at\:x=3
(\partial)/(\partial x)(e^{xy}+x+y)	\frac{\partial\:}{\partial\:x}(e^{xy}+x+y)
(dx)/(dy)=(x^2y^2)/(1+x)	\frac{dx}{dy}=\frac{x^{2}y^{2}}{1+x}
integral de 0 a 2 de t/((3-t)^2)	\int\:_{0}^{2}\frac{t}{(3-t)^{2}}dt
derivative-1.2(9)+36	derivative\:-1.2(9)+36

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