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Problemas populares de Cálculo

integral de (2x+1)/(e^{2x)}	\int\:\frac{2x+1}{e^{2x}}dx
(\partial)/(\partial x)(e^xcos(y)+2x-3y^2)	\frac{\partial\:}{\partial\:x}(e^{x}\cos(y)+2x-3y^{2})
taylor 2+t+1/t	taylor\:2+t+\frac{1}{t}
integral de (x+1)/(x(x-1)^2)	\int\:\frac{x+1}{x(x-1)^{2}}dx
derivada de (cosh(x)/(sin^2(x)))	\frac{d}{dx}(\frac{\cosh(x)}{\sin^{2}(x)})
derivada de 5cos(5x)	\frac{d}{dx}(5\cos(5x))
derivada de (x(x+1)/(2x-1))	\frac{d}{dx}(\frac{x(x+1)}{2x-1})
integral de 1/(x(sqrt(x)+1))	\int\:\frac{1}{x(\sqrt{x}+1)}dx
derivative y=2-x^2	derivative\:y=2-x^{2}
integral de-2pi a pi de pisin^2(x)	\int\:_{-2π}^{π}π\sin^{2}(x)dx
(dy}{dx}=\frac{x^2-x+2)/x+y	\frac{dy}{dx}=\frac{x^{2}-x+2}{x}+y
integral de 5sin(5x-3)	\int\:5\sin(5x-3)dx
derivative \sqrt[4]{x}-4e^x	derivative\:\sqrt[4]{x}-4e^{x}
área y=2cos(x),y=5-3cos(x)	area\:y=2\cos(x),y=5-3\cos(x)
área sin(x),5-x^2,[-2.384677,2.0252116]	area\:\sin(x),5-x^{2},[-2.384677,2.0252116]
serie de n=1 a infinity de (2^n)/(n!)	\sum\:_{n=1}^{\infty\:}\frac{2^{n}}{n!}
integral de (2x)/(a^2)	\int\:\frac{2x}{a^{2}}dx
integral de (x^e+e^x+x+e)	\int\:(x^{e}+e^{x}+x+e)dx
integral de sin(x)-xcos(x)	\int\:\sin(x)-x\cos(x)dx
integral de 1+ye^{(xy)}	\int\:1+ye^{(xy)}dx
integral de usqrt(u+4)	\int\:u\sqrt{u+4}du
derivative 1/((3+t)^2)	derivative\:\frac{1}{(3+t)^{2}}
derivada de (x-5(5x+4))	\frac{d}{dx}((x-5)(5x+4))
(\partial)/(\partial y)(xln(x^2+y^2))	\frac{\partial\:}{\partial\:y}(x\ln(x^{2}+y^{2}))
integral de-1 a 4 de \|x-3x^2\|	\int\:_{-1}^{4}\left\|x-3x^{2}\right\|dx
(xe^{x^2})^'	(xe^{x^{2}})^{\prime\:}
(\partial)/(\partial x)(e^{xy-y})	\frac{\partial\:}{\partial\:x}(e^{xy-y})
derivada de sqrt(x+1)-1	\frac{d}{dx}(\sqrt{x+1}-1)
derivative e^{3xcos(2x)}	derivative\:e^{3x\cos(2x)}
derivative y=-3/x+2/(x^3)	derivative\:y=-\frac{3}{x}+\frac{2}{x^{3}}
integral de (7-x^2)/(3x^3+x)	\int\:\frac{7-x^{2}}{3x^{3}+x}dx
(\partial)/(\partial y)(x^5yz^2+4yz)	\frac{\partial\:}{\partial\:y}(x^{5}yz^{2}+4yz)
tangent f(x)=x^2+x,\at a=5	tangent\:f(x)=x^{2}+x,\at\:a=5
derivada de Inxy(I,x^2)	\frac{d}{dx}(Inxy(I,x)^{2})
integral de (13)/(x(x^2+4)^2)	\int\:\frac{13}{x(x^{2}+4)^{2}}dx
tangent y=38x-16x^2,\at x=1	tangent\:y=38x-16x^{2},\at\:x=1
integral de (16)/((t^2+1)^{3/2)}	\int\:\frac{16}{(t^{2}+1)^{\frac{3}{2}}}dt
derivative-4x+1/x-3	derivative\:-4x+\frac{1}{x}-3
(\partial)/(\partial x)(x^2+2y+2z-12)	\frac{\partial\:}{\partial\:x}(x^{2}+2y+2z-12)
inversalaplace (10)/((s+1)^2(s+3))	inverselaplace\:\frac{10}{(s+1)^{2}(s+3)}
integral de 1/(sqrt(169-x^2))	\int\:\frac{1}{\sqrt{169-x^{2}}}dx
integral de cos(x)ln(2)2^x+2^xsin(x)	\int\:\cos(x)\ln(2)2^{x}+2^{x}\sin(x)dx
derivada de (3x-2^2(5x+4))	\frac{d}{dx}((3x-2)^{2}(5x+4))
integral de (8x+3)(7-x)	\int\:(8x+3)(7-x)dx
límite cuando x tiende a-infinity de-3x+x	\lim\:_{x\to\:-\infty\:}(-3x+x)
derivative h=(t+1)^{2/3}(2t^2-1)^3	derivative\:h=(t+1)^{\frac{2}{3}}(2t^{2}-1)^{3}
integral de (xsqrt(x))/2	\int\:\frac{x\sqrt{x}}{2}dx
derivative f(x)=((4x+x^2))/((2+x)^2)	derivative\:f(x)=\frac{(4x+x^{2})}{(2+x)^{2}}
integral de (14-14x)/(1-sqrt(x))	\int\:\frac{14-14x}{1-\sqrt{x}}dx
(dy)/(dt)=-t/(e^{y+t^2)}	\frac{dy}{dt}=-\frac{t}{e^{y+t^{2}}}
integral de (3+sqrt(x)+x)/x	\int\:\frac{3+\sqrt{x}+x}{x}dx
derivada de arccosh(x)	\frac{d}{dx}(\arccosh(x))
límite cuando θ tiende a 0 de (sin(3θ))/(2θ)	\lim\:_{θ\to\:0}(\frac{\sin(3θ)}{2θ})
integral de cot^3(x)csc^4(x)	\int\:\cot^{3}(x)\csc^{4}(x)dx
derivative f(x)=4x-3	derivative\:f(x)=4x-3
derivative y=4e^{-x}+e^{3x}	derivative\:y=4e^{-x}+e^{3x}
derivada de x^3-6x^2+9x-1	\frac{d}{dx}(x^{3}-6x^{2}+9x-1)
derivada de (x-y/(x+y))	\frac{d}{dx}(\frac{x-y}{x+y})
integral de (x^2-3x+5)	\int\:(x^{2}-3x+5)dx
tangent f(x)=x^2+x,\at x=1,\at x=3	tangent\:f(x)=x^{2}+x,\at\:x=1,\at\:x=3
d/(do)(ln(o))	\frac{d}{do}(\ln(o))
límite cuando x tiende a-6 de (-5x)/(x+6)	\lim\:_{x\to\:-6}(\frac{-5x}{x+6})
(dy)/(dx)=(18(y-1))/((3x-3)^2),y(3)=3	\frac{dy}{dx}=\frac{18(y-1)}{(3x-3)^{2}},y(3)=3
derivative 1/(2sqrt(x))+1/(6x^{5/6)}	derivative\:\frac{1}{2\sqrt{x}}+\frac{1}{6x^{\frac{5}{6}}}
derivada de sin(x+sin(10x))	\frac{d}{dx}(\sin(x+\sin(10x)))
derivada de dcos(t+t^2sin(t))	\frac{d}{dx}(d\cos(t)+t^{2}\sin(t))
integral de (x-x^3)	\int\:(x-x^{3})dx
tangent y=x^2+5,(-5,30)	tangent\:y=x^{2}+5,(-5,30)
derivative sqrt(2x)	derivative\:\sqrt{2x}
derivative f(x)=(x^4-4x)e^x	derivative\:f(x)=(x^{4}-4x)e^{x}
derivative-8/(x^9)	derivative\:-\frac{8}{x^{9}}
integral de (x^4+2x-9)ln(x)	\int\:(x^{4}+2x-9)\ln(x)dx
derivative 3/(x+1)	derivative\:\frac{3}{x+1}
ty^'+2y=sin(t),y(pi/2)=3	ty^{\prime\:}+2y=\sin(t),y(\frac{π}{2})=3
y^'=y(3-yt)	y^{\prime\:}=y(3-yt)
derivada de 3*sin(x)	\frac{d}{dx}(3\cdot\:\sin(x))
2x^2y^{''}+5xy^'+y=18x+4	2x^{2}y^{\prime\:\prime\:}+5xy^{\prime\:}+y=18x+4
y^'+y^2sin(x)=0	y^{\prime\:}+y^{2}\sin(x)=0
límite cuando x tiende a infinity de sin(1)	\lim\:_{x\to\:\infty\:}(\sin(1))
(dy)/(dx)=(2y)/(2x+1)	\frac{dy}{dx}=\frac{2y}{2x+1}
tangent 10x^2+2x	tangent\:10x^{2}+2x
integral de 8t^2	\int\:8t^{2}dt
derivative (3x-4)^3	derivative\:(3x-4)^{3}
derivative f(x)=(3/4)x^{4/3}	derivative\:f(x)=(\frac{3}{4})x^{\frac{4}{3}}
límite cuando x tiende a-8 de e(3/((x-8)))	\lim\:_{x\to\:-8}(e(\frac{3}{(x-8)}))
integral de x/(3x^2-16)	\int\:\frac{x}{3x^{2}-16}dx
integral de 2cot(x)	\int\:2\cot(x)dx
derivada de (xy/((x^2-y^2)^2))	\frac{d}{dx}(\frac{xy}{(x^{2}-y^{2})^{2}})
límite cuando x tiende a-2+de 1/(x^2-4)	\lim\:_{x\to\:-2+}(\frac{1}{x^{2}-4})
tangent f(x)=sqrt(x+8),(1,3)	tangent\:f(x)=\sqrt{x+8},(1,3)
serie de n=1 a infinity de 3^n5^{1-n}	\sum\:_{n=1}^{\infty\:}3^{n}5^{1-n}
límite cuando x tiende a infinity de (x^{1/2})/(x^{2/3)}	\lim\:_{x\to\:\infty\:}(\frac{x^{\frac{1}{2}}}{x^{\frac{2}{3}}})
límite cuando x tiende a 0+de 2/(e^x+1)	\lim\:_{x\to\:0+}(\frac{2}{e^{x}+1})
límite cuando x tiende a 2 de x/(x-2)	\lim\:_{x\to\:2}(\frac{x}{x-2})
(x+y)^2+(2xy+x^2-1)(dy)/(dx)=0	(x+y)^{2}+(2xy+x^{2}-1)\frac{dy}{dx}=0
integral de-2 a 2 de xsqrt(4-x^2)	\int\:_{-2}^{2}x\sqrt{4-x^{2}}dx
área y=4x^2,y=x^2+3	area\:y=4x^{2},y=x^{2}+3
integral de-1 a 4 de (6x-9)	\int\:_{-1}^{4}(6x-9)dx
límite cuando x tiende a infinity de x/n	\lim\:_{x\to\:\infty\:}(\frac{x}{n})
integral de 3 a 8 de 1/(sqrt(x^2-4))	\int\:_{3}^{8}\frac{1}{\sqrt{x^{2}-4}}dx

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