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Problemas populares

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Problemas populares de Cálculo

serie de k=1 a infinity de 5/(2^k)	\sum\:_{k=1}^{\infty\:}\frac{5}{2^{k}}
(dy)/(dx)=e^x+y	\frac{dy}{dx}=e^{x}+y
integral de 4/(x^5)-5x^4	\int\:\frac{4}{x^{5}}-5x^{4}dx
(\partial)/(\partial y)(ln(x^6y))	\frac{\partial\:}{\partial\:y}(\ln(x^{6}y))
serie de n=0 a infinity de (2/3)^n	\sum\:_{n=0}^{\infty\:}(\frac{2}{3})^{n}
d/(d{x)}(-({x})/(({x)^2+{y}^2+{z}^2)^{3/2}})	\frac{d}{d{x}}(-\frac{{x}}{({x}^{2}+{y}^{2}+{z}^{2})^{\frac{3}{2}}})
(d^2)/(dx^2)(e^{x^2+1})	\frac{d^{2}}{dx^{2}}(e^{x^{2}+1})
derivada de xln^3(x)	\frac{d}{dx}(x\ln^{3}(x))
límite cuando x tiende a 0 de sin(kx)	\lim\:_{x\to\:0}(\sin(kx))
(\partial)/(\partial x)(3x^8y^7+6x^5y^4)	\frac{\partial\:}{\partial\:x}(3x^{8}y^{7}+6x^{5}y^{4})
integral de (11x^3)/(sqrt(9+x^2))	\int\:\frac{11x^{3}}{\sqrt{9+x^{2}}}dx
derivada de (x^3/4-3x)	\frac{d}{dx}(\frac{x^{3}}{4}-3x)
derivada de (x^3/3+1/(4x))	\frac{d}{dx}(\frac{x^{3}}{3}+\frac{1}{4x})
integral de 1/((x-3)(x-2))	\int\:\frac{1}{(x-3)(x-2)}dx
integral de arcsin(t)	\int\:\arcsin(t)dt
(\partial)/(\partial x)(sqrt(2x^2-5y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{2x^{2}-5y^{2}})
integral de-2 a 6 de 4x-x^2+12	\int\:_{-2}^{6}4x-x^{2}+12dx
integral de 5 a 7 de [ k/2 x^2]	\int\:_{5}^{7}[\frac{k}{2}x^{2}]dx
y^{''}+5y^'=e^{-t},y(0)=0,y^'(0)=1	y^{\prime\:\prime\:}+5y^{\prime\:}=e^{-t},y(0)=0,y^{\prime\:}(0)=1
(\partial)/(\partial y)(e^{xy}ln(z))	\frac{\partial\:}{\partial\:y}(e^{xy}\ln(z))
integral de ((ln(2x)))/x	\int\:\frac{(\ln(2x))}{x}dx
límite cuando x tiende a 4 de f(x)	\lim\:_{x\to\:4}(f(x))
f(x)=-1/x	f(x)=-\frac{1}{x}
integral de 1/(x^2+2x+1)	\int\:\frac{1}{x^{2}+2x+1}dx
integral de (x^4)/(sqrt(x^2-9))	\int\:\frac{x^{4}}{\sqrt{x^{2}-9}}dx
límite cuando x tiende a 9 de \|sqrt(x)\|	\lim\:_{x\to\:9}(\left\|\sqrt{x}\right\|)
4x^2y^'=y^'+6xe^{-y}	4x^{2}y^{\prime\:}=y^{\prime\:}+6xe^{-y}
derivada de 6xe^x	\frac{d}{dx}(6xe^{x})
tangent f(x)=x^3-3x^2+2x-2,\at x=0	tangent\:f(x)=x^{3}-3x^{2}+2x-2,\at\:x=0
(\partial)/(\partial y)((3x-4y)/(3x+4y))	\frac{\partial\:}{\partial\:y}(\frac{3x-4y}{3x+4y})
límite cuando x tiende a 9 de cos(1/(x-9))	\lim\:_{x\to\:9}(\cos(\frac{1}{x-9}))
derivative \sqrt[3]{6x}	derivative\:\sqrt[3]{6x}
f(θ)=2tan(θ)	f(θ)=2\tan(θ)
integral de 4sin(x/2)+8	\int\:4\sin(\frac{x}{2})+8dx
tangent f(x)=x^2+6,(1,7)	tangent\:f(x)=x^{2}+6,(1,7)
integral de csc^6(x)	\int\:\csc^{6}(x)dx
taylor ((1-v))/((1+v))	taylor\:\frac{(1-v)}{(1+v)}
(dy)/(dx)= 1/3 x(y-2)^2	\frac{dy}{dx}=\frac{1}{3}x(y-2)^{2}
serie de n=0 a infinity de 9	\sum\:_{n=0}^{\infty\:}9
derivative f(x)=(0.001+2)^{0.001}	derivative\:f(x)=(0.001+2)^{0.001}
(\partial)/(\partial x)((x-10)^2)	\frac{\partial\:}{\partial\:x}((x-10)^{2})
integral de-2 a 2 de 1/x	\int\:_{-2}^{2}\frac{1}{x}dx
límite cuando x tiende a-2 de x/(x+2)	\lim\:_{x\to\:-2}(\frac{x}{x+2})
límite cuando x tiende a infinity de e^{-8x^2}	\lim\:_{x\to\:\infty\:}(e^{-8x^{2}})
derivative \sqrt[3]{x+1}	derivative\:\sqrt[3]{x+1}
área y=(x-2)^2,y=2x-1	area\:y=(x-2)^{2},y=2x-1
(\partial)/(\partial x)(5x^2y^3)	\frac{\partial\:}{\partial\:x}(5x^{2}y^{3})
integral de 1/((x^2+4))	\int\:\frac{1}{(x^{2}+4)}dx
integral de ((2x+5))/(sqrt(x^2+5x))	\int\:\frac{(2x+5)}{\sqrt{x^{2}+5x}}dx
(\partial)/(\partial x)(x(e^y+e^yy))	\frac{\partial\:}{\partial\:x}(x(e^{y}+e^{y}y))
derivada de (csc(xtan(x))/(cos(x)))	\frac{d}{dx}(\frac{\csc(x)\tan(x)}{\cos(x)})
integral de sin^4(x)*cos(x)	\int\:\sin^{4}(x)\cdot\:\cos(x)dx
área x,sqrt(x),[0,2]	area\:x,\sqrt{x},[0,2]
tangent f(x)=sqrt(x^2-6x+25),\at x=0	tangent\:f(x)=\sqrt{x^{2}-6x+25},\at\:x=0
tangent f(x)=x^4+7e^x,(0,7)	tangent\:f(x)=x^{4}+7e^{x},(0,7)
integral de (9sin^3(x))/(cos(x))	\int\:\frac{9\sin^{3}(x)}{\cos(x)}dx
límite cuando x tiende a 5 de 5x-4	\lim\:_{x\to\:5}(5x-4)
integral de 1 a 2 de sqrt(1+1/(x^2))	\int\:_{1}^{2}\sqrt{1+\frac{1}{x^{2}}}dx
integral de (x^4+x-9)/(x^2+3)	\int\:\frac{x^{4}+x-9}{x^{2}+3}dx
integral de (x+6)/((x+3)^3)	\int\:\frac{x+6}{(x+3)^{3}}dx
(\partial)/(\partial x)(aln(a(x^2+y^2)))	\frac{\partial\:}{\partial\:x}(a\ln(a(x^{2}+y^{2})))
(\partial)/(\partial x)(x^3+y^3+z^3+6xyz)	\frac{\partial\:}{\partial\:x}(x^{3}+y^{3}+z^{3}+6xyz)
inversalaplace 2/(s^3)+6/(s^2)-3/s	inverselaplace\:\frac{2}{s^{3}}+\frac{6}{s^{2}}-\frac{3}{s}
ysqrt(1-x^2)y^'-xsqrt(1-y^2)=0	y\sqrt{1-x^{2}}y^{\prime\:}-x\sqrt{1-y^{2}}=0
(dP)/(dt)=P(9-P)-81/4	\frac{dP}{dt}=P(9-P)-\frac{81}{4}
integral de (3-4x^3+6x^6)/(x^6)	\int\:\frac{3-4x^{3}+6x^{6}}{x^{6}}dx
(dy)/(dx)=1-e^{x-y+8}	\frac{dy}{dx}=1-e^{x-y+8}
-y^{'''}+2y^{''}+3y^'+3=0	-y^{\prime\:\prime\:\prime\:}+2y^{\prime\:\prime\:}+3y^{\prime\:}+3=0
derivative h(x)= 1/(x^{10)}	derivative\:h(x)=\frac{1}{x^{10}}
integral de 1/(x^{-1)+1}	\int\:\frac{1}{x^{-1}+1}dx
derivada de ln(x+2y)	\frac{d}{dx}(\ln(x+2y))
tangent f(x)=3x^5-11x^3,\at x=1	tangent\:f(x)=3x^{5}-11x^{3},\at\:x=1
derivada de cot(11x)	\frac{d}{dx}(\cot(11x))
integral de (a+bt)^2	\int\:(a+bt)^{2}dt
integral de 2 a 5 de 4	\int\:_{2}^{5}4dx
y^{''}-12y^'+35y=e^{8x}	y^{\prime\:\prime\:}-12y^{\prime\:}+35y=e^{8x}
derivative y=(7sqrt(x))/x	derivative\:y=\frac{7\sqrt{x}}{x}
límite cuando x tiende a o de x	\lim\:_{x\to\:o}(x)
(\partial)/(\partial t)(-2st)	\frac{\partial\:}{\partial\:t}(-2st)
integral de ((1-x)^2)/2	\int\:\frac{(1-x)^{2}}{2}dx
integral de tan^2(x)+1	\int\:\tan^{2}(x)+1dx
integral de 3 a 5 de 1/((x-4)^2)	\int\:_{3}^{5}\frac{1}{(x-4)^{2}}dx
integral de ln(x)sqrt(x^5)	\int\:\ln(x)\sqrt{x^{5}}dx
límite cuando x tiende a-infinity de \sqrt[3]{x/(x^2+3)}	\lim\:_{x\to\:-\infty\:}(\sqrt[3]{\frac{x}{x^{2}+3}})
(\partial)/(\partial x)((x-3y)/(2xy+3))	\frac{\partial\:}{\partial\:x}(\frac{x-3y}{2xy+3})
integral de (x^2+10x+2)/(x^3+15x^2+6x+1)	\int\:\frac{x^{2}+10x+2}{x^{3}+15x^{2}+6x+1}dx
derivative ((3x^3+6))/x	derivative\:\frac{(3x^{3}+6)}{x}
(\partial)/(\partial x)(3-3x+4y-4x^2y)	\frac{\partial\:}{\partial\:x}(3-3x+4y-4x^{2}y)
límite cuando x tiende a 0 de (-2)/x	\lim\:_{x\to\:0}(\frac{-2}{x})
integral de (8^x+1)/(2^x+1)	\int\:\frac{8^{x}+1}{2^{x}+1}dx
límite cuando x tiende a infinity de ((6x))/(5log_{2)(x)}	\lim\:_{x\to\:\infty\:}(\frac{(6x)}{5\log_{2}(x)})
derivative f(x)=(7x)/(3+x)	derivative\:f(x)=\frac{7x}{3+x}
inversalaplace ((1-e^{-s}))/(s^3)	inverselaplace\:\frac{(1-e^{-s})}{s^{3}}
derivada de (45/(0.01x^2+1))	\frac{d}{dx}(\frac{45}{0.01x^{2}+1})
integral de 3cos(sqrt(10x))	\int\:3\cos(\sqrt{10x})dx
integral de sin^5(xco)s^4x	\int\:\sin^{5}(xco)s^{4}xdx
derivada de log_{5}(x^4sqrt(2x^2+9x))	\frac{d}{dx}(\log_{5}(x^{4}\sqrt{2x^{2}+9x}))
límite cuando x tiende a 4 de sqrt(x^2+x+5)	\lim\:_{x\to\:4}(\sqrt{x^{2}+x+5})
límite cuando x tiende a 0 de 1+3e^x	\lim\:_{x\to\:0}(1+3e^{x})
límite cuando x tiende a 4+de (x+4)/(x-4)	\lim\:_{x\to\:4+}(\frac{x+4}{x-4})

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