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Problemas populares

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Problemas populares de Cálculo

derivada de (3sqrt(3)x^2/2)	\frac{d}{dx}(\frac{3\sqrt{3}x^{2}}{2})
derivada de sqrt(x)ln(9x)	\frac{d}{dx}(\sqrt{x}\ln(9x))
límite cuando x tiende a infinity de-(x)^2	\lim\:_{x\to\:\infty\:}(-(x)^{2})
integral de 1/((1-x))	\int\:\frac{1}{(1-x)}dx
y^'=sin(x)	y^{\prime\:}=\sin(x)
límite cuando x tiende a 1 de 2x^2	\lim\:_{x\to\:1}(2x^{2})
área f(x)=((2-x^2))/2 ,[-5/4 , 5/4 ]	area\:f(x)=\frac{(2-x^{2})}{2},[-\frac{5}{4},\frac{5}{4}]
serie de k=1 a infinity de k^3e^{-k^2}	\sum\:_{k=1}^{\infty\:}k^{3}e^{-k^{2}}
(x^2+y)dx+(x-e^y)dy=0	(x^{2}+y)dx+(x-e^{y})dy=0
derivative y=4	derivative\:y=4
derivada de 1/(x^{-2})	\frac{d}{dx}(\frac{1}{x^{-2}})
(\partial)/(\partial x)((e*x)/(c-x))	\frac{\partial\:}{\partial\:x}(\frac{e\cdot\:x}{c-x})
límite cuando x tiende a 4-de (-2)/(x^2-16)	\lim\:_{x\to\:4-}(\frac{-2}{x^{2}-16})
derivative 2x^2-3	derivative\:2x^{2}-3
integral de 1/(25x^2-4)	\int\:\frac{1}{25x^{2}-4}dx
derivada de 1/2 x^3+1/(6x)	\frac{d}{dx}(\frac{1}{2}x^{3}+\frac{1}{6x})
(\partial)/(\partial x)(3^4-65^3)	\frac{\partial\:}{\partial\:x}(3^{4}-65^{3})
y^'=3y-2x	y^{\prime\:}=3y-2x
área 5cos(7x),5-5cos(7x),[0, pi/7 ]	area\:5\cos(7x),5-5\cos(7x),[0,\frac{π}{7}]
y^'+y/(6.96)=0.0025862069	y^{\prime\:}+\frac{y}{6.96}=0.0025862069
derivada de ln(x^{1/5})	\frac{d}{dx}(\ln(x^{\frac{1}{5}}))
integral de x^2+x^{-2}	\int\:x^{2}+x^{-2}dx
sin(2x)dx+cos(6y)dy=0	\sin(2x)dx+\cos(6y)dy=0
integral de x/(\sqrt[5]{x^2-1)}	\int\:\frac{x}{\sqrt[5]{x^{2}-1}}dx
área y=4x^2,y=6x^2,5x+y=6	area\:y=4x^{2},y=6x^{2},5x+y=6
derivative (2x-3)^2	derivative\:(2x-3)^{2}
(\partial)/(\partial x)(xe^{-x}(Ax^2+Bx+C))	\frac{\partial\:}{\partial\:x}(xe^{-x}(Ax^{2}+Bx+C))
integral de-(ln(x))/x	\int\:-\frac{\ln(x)}{x}dx
(dy)/(y-y^2)=dx	\frac{dy}{y-y^{2}}=dx
d/(d{x)}(3{x}{y}+sin({x})+{z}^2)	\frac{d}{d{x}}(3{x}{y}+\sin({x})+{z}^{2})
derivada de-4csc^2(x+4sec^2(x))	\frac{d}{dx}(-4\csc^{2}(x)+4\sec^{2}(x))
integral de 3/5 x^{1/3}	\int\:\frac{3}{5}x^{\frac{1}{3}}dx
derivada de (ax+be^x)	\frac{d}{dx}((ax+b)e^{x})
tangent f(x)=sqrt(x^2-x+10),\at x=3	tangent\:f(x)=\sqrt{x^{2}-x+10},\at\:x=3
integral de 1/(v*sqrt(v^2-1))	\int\:\frac{1}{v\cdot\:\sqrt{v^{2}-1}}dv
tangent f(x)=2x^3,(-2,-16)	tangent\:f(x)=2x^{3},(-2,-16)
integral de cot(3x)	\int\:\cot(3x)dx
simplificar ln(xsqrt(x^2-5))	simplify\:\ln(x\sqrt{x^{2}-5})
taylor 7/(1-x)	taylor\:\frac{7}{1-x}
derivada de 2e^{-x}+xe^{-x}	\frac{d}{dx}(2e^{-x}+xe^{-x})
derivative x^2+x+8	derivative\:x^{2}+x+8
derivative f(x)=ln(e^x)	derivative\:f(x)=\ln(e^{x})
integral de (e^{-2x})	\int\:(e^{-2x})dx
integral de 6(2x-3)^{-6}	\int\:6(2x-3)^{-6}dx
integral de 1/(x^2+6x+13)	\int\:\frac{1}{x^{2}+6x+13}dx
integral de (1/(sqrt(x)))	\int\:(\frac{1}{\sqrt{x}})dx
integral de (e^x)/(e^{2x)+6e^x+9}	\int\:\frac{e^{x}}{e^{2x}+6e^{x}+9}dx
derivada de e^{-x}*sin(x)	\frac{d}{dx}(e^{-x}\cdot\:\sin(x))
derivada de e^{1/(x^3})	\frac{d}{dx}(e^{\frac{1}{x^{3}}})
(dy)/(dx)y=(y+1)(2x+1),y(-1)=1	\frac{dy}{dx}y=(y+1)(2x+1),y(-1)=1
integral de z^2(z^3-1)^6	\int\:z^{2}(z^{3}-1)^{6}dz
integral de p(p+6)^5	\int\:p(p+6)^{5}dp
integral de 2/(1-4x^2)	\int\:\frac{2}{1-4x^{2}}dx
tangent f(x)=2x-x^2,\at x=1	tangent\:f(x)=2x-x^{2},\at\:x=1
derivada de (x^3-1/(ln(x)))	\frac{d}{dx}(\frac{x^{3}-1}{\ln(x)})
integral de cos(x)sin(x)sqrt(1+cos^2(x))	\int\:\cos(x)\sin(x)\sqrt{1+\cos^{2}(x)}dx
4y^{''}-16y=0	4y^{\prime\:\prime\:}-16y=0
integral de 4tan(x)	\int\:4\tan(x)dx
derivative f(x)=2e^x	derivative\:f(x)=2e^{x}
(ln(3x+1))^'	(\ln(3x+1))^{\prime\:}
laplacetransformación (cos(4t)-8)^2	laplacetransform\:(\cos(4t)-8)^{2}
(dy)/(dx)+6tan(6x)y=-8cos(6x)	\frac{dy}{dx}+6\tan(6x)y=-8\cos(6x)
integral de (x-1)/(x^2+2x)	\int\:\frac{x-1}{x^{2}+2x}dx
taylor sqrt((1-x^2))	taylor\:\sqrt{(1-x^{2})}
integral de 8(tan^3(2sqrt(x)))/(sqrt(x))	\int\:8\frac{\tan^{3}(2\sqrt{x})}{\sqrt{x}}dx
serie de n=2 a infinity de n(n-1)x^n	\sum\:_{n=2}^{\infty\:}n(n-1)x^{n}
área-x+5,0,2	area\:-x+5,0,2
integral de-xe^xsin(x)	\int\:-xe^{x}\sin(x)dx
límite cuando x tiende a-2 de (x^2-3)/(x+1)	\lim\:_{x\to\:-2}(\frac{x^{2}-3}{x+1})
derivative f(x)=(9x^6+2x^3)^4	derivative\:f(x)=(9x^{6}+2x^{3})^{4}
integral de (sec(x))/(sin(x))	\int\:\frac{\sec(x)}{\sin(x)}dx
derivada de (sin(3x)^3)	\frac{d}{dx}((\sin(3x))^{3})
límite cuando x tiende a 0 de (1-1/x)x	\lim\:_{x\to\:0}((1-\frac{1}{x})x)
(\partial)/(\partial x)(-5xcos(x^2-5xy))	\frac{\partial\:}{\partial\:x}(-5x\cos(x^{2}-5xy))
(d^2)/(dx)(y)+2(dy)/(dx)+y=0	\frac{d^{2}}{dx}(y)+2\frac{dy}{dx}+y=0
(\partial)/(\partial x)(e^{-2z}ysin(x))	\frac{\partial\:}{\partial\:x}(e^{-2z}y\sin(x))
área cos(θ),0.5	area\:\cos(θ),0.5
derivative 153x^2-0.06x^3	derivative\:153x^{2}-0.06x^{3}
derivative y=(3/5 x)^4	derivative\:y=(\frac{3}{5}x)^{4}
derivative f(x)=ln(7x)	derivative\:f(x)=\ln(7x)
(\partial)/(\partial z)(y/(1+x^2y^2))	\frac{\partial\:}{\partial\:z}(\frac{y}{1+x^{2}y^{2}})
derivative x^9sin(x)	derivative\:x^{9}\sin(x)
derivative (x-5)(5x+3)	derivative\:(x-5)(5x+3)
derivative x^{-4}	derivative\:x^{-4}
integral de 2 a 4 de 6/(2x-9)	\int\:_{2}^{4}\frac{6}{2x-9}dx
límite cuando x tiende a 8 de x+2	\lim\:_{x\to\:8}(x+2)
tangent f(x)=ln(x^3-7),\at x=2	tangent\:f(x)=\ln(x^{3}-7),\at\:x=2
integral de 1/(xsqrt(x)+x^2)	\int\:\frac{1}{x\sqrt{x}+x^{2}}dx
integral de-5sin(x)	\int\:-5\sin(x)dx
integral de 0 a L de sin^2((npix)/L)	\int\:_{0}^{L}\sin^{2}(\frac{nπx}{L})dx
derivative y=(e^x)/(1+x)	derivative\:y=\frac{e^{x}}{1+x}
integral de 0 a pi/2 de 15sin^2(2x)	\int\:_{0}^{\frac{π}{2}}15\sin^{2}(2x)dx
derivative tan^2(6x)	derivative\:\tan^{2}(6x)
integral de 1 a 3 de (x^2+3)/(4x-x^2)	\int\:_{1}^{3}\frac{x^{2}+3}{4x-x^{2}}dx
(\partial)/(\partial y)(sqrt(38-x^2-4y^2))	\frac{\partial\:}{\partial\:y}(\sqrt{38-x^{2}-4y^{2}})
x^4+y^3sqrt(x^5+4)(dy)/(dx)=0,y(1)=0	x^{4}+y^{3}\sqrt{x^{5}+4}\frac{dy}{dx}=0,y(1)=0
integral de (t^5)/(sqrt(t^2+8))	\int\:\frac{t^{5}}{\sqrt{t^{2}+8}}dt
derivada de e^{ktan(sqrt(3x)})	\frac{d}{dx}(e^{k\tan(\sqrt{3x})})
integral de-64x^3sin(4x^4+3)	\int\:-64x^{3}\sin(4x^{4}+3)dx
límite cuando h tiende a 0 de ((1+h)^7-1)/h	\lim\:_{h\to\:0}(\frac{(1+h)^{7}-1}{h})

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