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Problemas populares

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Problemas populares de Cálculo

área x+y^2=56,x=y	area\:x+y^{2}=56,x=y
(\partial)/(\partial y)(4xy)	\frac{\partial\:}{\partial\:y}(4xy)
integral de (x^2-1)/(sqrt(2x-1))	\int\:\frac{x^{2}-1}{\sqrt{2x-1}}dx
integral de x^4e^{6x}	\int\:x^{4}e^{6x}dx
derivada de (x^3-1/x)	\frac{d}{dx}(\frac{x^{3}-1}{x})
integral de 3x^7(x^8+1)^5	\int\:3x^{7}(x^{8}+1)^{5}dx
área 2/x , 2/(x^2),1,6	area\:\frac{2}{x},\frac{2}{x^{2}},1,6
derivada de e^{-15x}	\frac{d}{dx}(e^{-15x})
integral de 1 a 27 de x^{1/3}	\int\:_{1}^{27}x^{\frac{1}{3}}dx
integral de-1/3 (x/3)^n	\int\:-\frac{1}{3}(\frac{x}{3})^{n}dx
tangent f(x)=2x^3+8x^2+3x+3	tangent\:f(x)=2x^{3}+8x^{2}+3x+3
derivada de sqrt(x^4-5x^2+9)	\frac{d}{dx}(\sqrt{x^{4}-5x^{2}+9})
(\partial)/(\partial x)(48x^3cos(6x^2y))	\frac{\partial\:}{\partial\:x}(48x^{3}\cos(6x^{2}y))
derivada de (x-3/x)	\frac{d}{dx}(\frac{x-3}{x})
xy^'+3y=(2e^{-4x})/(x^2)	xy^{\prime\:}+3y=\frac{2e^{-4x}}{x^{2}}
integral de csc^2(u)	\int\:\csc^{2}(u)du
derivative 3/(\sqrt[3]{x)}	derivative\:\frac{3}{\sqrt[3]{x}}
serie de n=1 a infinity de n!(0)^n	\sum\:_{n=1}^{\infty\:}n!(0)^{n}
(\partial)/(\partial x)(y^3-1)	\frac{\partial\:}{\partial\:x}(y^{3}-1)
integral de 2x*sin(x^2)	\int\:2x\cdot\:\sin(x^{2})dx
integral de (x^2+x+1)/((x+2)(x^2+1))	\int\:\frac{x^{2}+x+1}{(x+2)(x^{2}+1)}dx
límite cuando x tiende a 7 de x^2	\lim\:_{x\to\:7}(x^{2})
derivada de sqrt(cos^3(x^2))	\frac{d}{dx}(\sqrt{\cos^{3}(x^{2})})
límite cuando x tiende a 2 de (2x+4)^3	\lim\:_{x\to\:2}((2x+4)^{3})
límite cuando x tiende a 0+de x^{7/x}	\lim\:_{x\to\:0+}(x^{\frac{7}{x}})
integral de sin(1/6 x)	\int\:\sin(\frac{1}{6}x)dx
integral de 1 a 2 de 1/(x^2+3x)	\int\:_{1}^{2}\frac{1}{x^{2}+3x}dx
integral de [tan(x)+cot(x)]	\int\:[\tan(x)+\cot(x)]dx
integral de 0 a infinity de 6e^{-6x}	\int\:_{0}^{\infty\:}6e^{-6x}dx
integral de (x^4)/((8-x^5)^2)	\int\:\frac{x^{4}}{(8-x^{5})^{2}}dx
derivada de cos(pi)	\frac{d}{dx}(\cos(π))
serie de n=1 a infinity de 1/((n+1)^2)	\sum\:_{n=1}^{\infty\:}\frac{1}{(n+1)^{2}}
integral de ((2x-1)^2)/(x-1)	\int\:\frac{(2x-1)^{2}}{x-1}dx
integral de 4 a infinity de e^{-x/3}	\int\:_{4}^{\infty\:}e^{-\frac{x}{3}}dx
integral de (2x^{-3}-3x^2-2)	\int\:(2x^{-3}-3x^{2}-2)dx
integral de 6/(x^2-9)	\int\:\frac{6}{x^{2}-9}dx
integral de x^{5/6}	\int\:x^{\frac{5}{6}}dx
integral de 1/(xsqrt(8x+9))	\int\:\frac{1}{x\sqrt{8x+9}}dx
tangent f(x)= 3/(2x-1),(1,3)	tangent\:f(x)=\frac{3}{2x-1},(1,3)
(\partial)/(\partial y)(-xyz^2)	\frac{\partial\:}{\partial\:y}(-xyz^{2})
derivative y=x^2sqrt(25-x^2)	derivative\:y=x^{2}\sqrt{25-x^{2}}
integral de (e^x)/(6+e^x)	\int\:\frac{e^{x}}{6+e^{x}}dx
integral de-1 a 1 de e^y-(y^2-5)	\int\:_{-1}^{1}e^{y}-(y^{2}-5)dy
integral de 1 a 5 de (2x-1)	\int\:_{1}^{5}(2x-1)dx
integral de (3x)/2	\int\:\frac{3x}{2}dx
integral de (x^2)/((81+x^2)^2)	\int\:\frac{x^{2}}{(81+x^{2})^{2}}dx
d/(dt)(ln(1+t^2))	\frac{d}{dt}(\ln(1+t^{2}))
límite cuando x tiende a 0 de ln(5)cos(x)	\lim\:_{x\to\:0}(\ln(5)\cos(x))
derivada de 3x^3e^x	\frac{d}{dx}(3x^{3}e^{x})
integral de 2ln(x^x)	\int\:2\ln(x^{x})dx
(\partial)/(\partial z)(0)	\frac{\partial\:}{\partial\:z}(0)
derivada de x^{7sin(x})	\frac{d}{dx}(x^{7\sin(x)})
d/(du)(u^2+v^2)	\frac{d}{du}(u^{2}+v^{2})
derivative (3e^x)/(2e^x-7)	derivative\:\frac{3e^{x}}{2e^{x}-7}
integral de 7sin^2(xco)s^2x	\int\:7\sin^{2}(xco)s^{2}xdx
(\partial)/(\partial x)(2x(5y-6))	\frac{\partial\:}{\partial\:x}(2x(5y-6))
límite cuando x tiende a 6+de (9x)/(x-6)	\lim\:_{x\to\:6+}(\frac{9x}{x-6})
derivative f(x)=3x^3sqrt(x)	derivative\:f(x)=3x^{3}\sqrt{x}
xy^'+6y=x^3-x	xy^{\prime\:}+6y=x^{3}-x
implicit (dy)/(dx),3x^2y^3=3x-2y^2-16	implicit\:\frac{dy}{dx},3x^{2}y^{3}=3x-2y^{2}-16
derivada de (2x+1^2sec(x^3))	\frac{d}{dx}((2x+1)^{2}\sec(x^{3}))
integral de (e^u)/((5-e^u)^2)	\int\:\frac{e^{u}}{(5-e^{u})^{2}}du
integral de (sqrt(x^2-25))/(x^3)	\int\:\frac{\sqrt{x^{2}-25}}{x^{3}}dx
t^2y^{''}+15ty^'+49y=0	t^{2}y^{\prime\:\prime\:}+15ty^{\prime\:}+49y=0
f(x)=cot(x)csc(x)	f(x)=\cot(x)\csc(x)
límite cuando x tiende a infinity de 8ln(x)	\lim\:_{x\to\:\infty\:}(8\ln(x))
derivative 6x+1	derivative\:6x+1
derivative (x-3)^{2/3}	derivative\:(x-3)^{\frac{2}{3}}
límite cuando x tiende a-5 de 4x+24	\lim\:_{x\to\:-5}(4x+24)
integral de (5x^2)/(x^2+6)	\int\:\frac{5x^{2}}{x^{2}+6}dx
y^'=(6x)/y	y^{\prime\:}=\frac{6x}{y}
d/(dy)((1/(y^2)-3/(y^4))(y+5y^3))	\frac{d}{dy}((\frac{1}{y^{2}}-\frac{3}{y^{4}})(y+5y^{3}))
y^{''}-y^'-2y=5e^{-t}	y^{\prime\:\prime\:}-y^{\prime\:}-2y=5e^{-t}
(\partial)/(\partial y)(\sqrt[3]{xyz})	\frac{\partial\:}{\partial\:y}(\sqrt[3]{xyz})
derivada de 1-xln(x)	\frac{d}{dx}(1-x\ln(x))
laplacetransformación e^2t^2	laplacetransform\:e^{2}t^{2}
derivative sin(x)+xcos(x)	derivative\:\sin(x)+x\cos(x)
tangent 4/(sqrt(x)),\at x= 1/9	tangent\:\frac{4}{\sqrt{x}},\at\:x=\frac{1}{9}
derivada de (x^3/3-x^2-15x)	\frac{d}{dx}(\frac{x^{3}}{3}-x^{2}-15x)
límite cuando x tiende a 1 de (x^2+3)/(x-1)	\lim\:_{x\to\:1}(\frac{x^{2}+3}{x-1})
integral de 2 a 3 de x^3	\int\:_{2}^{3}x^{3}dx
derivada de 1/(7x^{6/7})	\frac{d}{dx}(\frac{1}{7x^{\frac{6}{7}}})
x^3(dy)/(dx)=y^2(x-4)	x^{3}\frac{dy}{dx}=y^{2}(x-4)
integral de 1/(a(sec(x)))	\int\:\frac{1}{a(\sec(x))}dx
derivada de (1x+sqrt(1+x)/(x^2-1))	\frac{d}{dx}(\frac{1x+\sqrt{1+x}}{x^{2}-1})
derivative h	derivative\:h
derivative [x+(x+sin^2(x))^4]^3	derivative\:[x+(x+\sin^{2}(x))^{4}]^{3}
integral de 2 a 7 de (x^2-2x)^2	\int\:_{2}^{7}(x^{2}-2x)^{2}dx
integral de ((x^3-2x^2+7x-7))/(x^2-2x+5)	\int\:\frac{(x^{3}-2x^{2}+7x-7)}{x^{2}-2x+5}dx
derivative f(x)=-e^{-x}	derivative\:f(x)=-e^{-x}
derivada de (1+x^{-2})	\frac{d}{dx}((1+x)^{-2})
área f(x)=x^2+4,g(x)=-x^2-1,[0,1]	area\:f(x)=x^{2}+4,g(x)=-x^{2}-1,[0,1]
tangent f(x)=6x^2+4/(x^2)-10,\at x=1	tangent\:f(x)=6x^{2}+\frac{4}{x^{2}}-10,\at\:x=1
integral de 5sin(5x)	\int\:5\sin(5x)dx
integral de (3x^2+x+4)/(x^4+3x^2+2)	\int\:\frac{3x^{2}+x+4}{x^{4}+3x^{2}+2}dx
tangent f(x)=x^2sqrt(x^3+1),\at x=2	tangent\:f(x)=x^{2}\sqrt{x^{3}+1},\at\:x=2
derivada de-\sqrt[3]{x}	\frac{d}{dx}(-\sqrt[3]{x})
derivada de x^4ln(9x)	\frac{d}{dx}(x^{4}\ln(9x))
serie de n=1 a infinity de 2(1/5)^{n-1}	\sum\:_{n=1}^{\infty\:}2(\frac{1}{5})^{n-1}
derivada de 2x^2-5x+1	\frac{d}{dx}(2x^{2}-5x+1)

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