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Problemas populares

Temas

Problemas populares de Cálculo

derivative 6sqrt(x)+4x^{4/5}	derivative\:6\sqrt{x}+4x^{\frac{4}{5}}
integral de θtan(θ)	\int\:θ\tan(θ)dθ
integral de 4sin(x)-2cos(x)	\int\:4\sin(x)-2\cos(x)dx
derivada de (3x/(sqrt(x^2+2)))	\frac{d}{dx}(\frac{3x}{\sqrt{x^{2}+2}})
derivada de xcos(6x)	\frac{d}{dx}(x\cos(6x))
derivative y=(2(2x^5-9))/(x^4)	derivative\:y=\frac{2(2x^{5}-9)}{x^{4}}
integral de csc^3(x)sec(x)	\int\:\csc^{3}(x)\sec(x)dx
(dy)/(dt)=y^3	\frac{dy}{dt}=y^{3}
y^{''}+2y^'+2y=5cos(3t)-20sin(3t)	y^{\prime\:\prime\:}+2y^{\prime\:}+2y=5\cos(3t)-20\sin(3t)
tangent f(x)=sqrt(-x^2+25),\at x=3	tangent\:f(x)=\sqrt{-x^{2}+25},\at\:x=3
integral de (1+2x)^{-1}	\int\:(1+2x)^{-1}dx
integral de 0 a infinity de 1/(x^2+4)	\int\:_{0}^{\infty\:}\frac{1}{x^{2}+4}dx
tangent x^4e^{-x}	tangent\:x^{4}e^{-x}
derivative y=e^{2ex}	derivative\:y=e^{2ex}
(\partial)/(\partial x)(x^3-y^3+6xy)	\frac{\partial\:}{\partial\:x}(x^{3}-y^{3}+6xy)
integral de 1+e^x	\int\:1+e^{x}dx
derivada de ln(sqrt(x^8+19))	\frac{d}{dx}(\ln(\sqrt{x^{8}+19}))
derivada de 2cos(x^3-2/x)	\frac{d}{dx}(2\cos(x^{3})-\frac{2}{x})
d/(dt)(t^3)	\frac{d}{dt}(t^{3})
tangent f(x)=x^2+3x+1,(-1,-1)	tangent\:f(x)=x^{2}+3x+1,(-1,-1)
integral de 2/((x+1)^3)	\int\:\frac{2}{(x+1)^{3}}dx
d/(dy)(x^2y^2)	\frac{d}{dy}(x^{2}y^{2})
derivada de sqrt(x^2)+1	\frac{d}{dx}(\sqrt{x^{2}}+1)
(\partial)/(\partial x)(xe^{2t}-4x)	\frac{\partial\:}{\partial\:x}(xe^{2t}-4x)
área sqrt(x),x-2,0	area\:\sqrt{x},x-2,0
(\partial)/(\partial x)(ln(x^2-4xy+y^2))	\frac{\partial\:}{\partial\:x}(\ln(x^{2}-4xy+y^{2}))
derivative f(x)=(ln(5))^t	derivative\:f(x)=(\ln(5))^{t}
límite cuando x tiende a 0 de 4/(17+x)	\lim\:_{x\to\:0}(\frac{4}{17+x})
integral de 1/((x^2+9))	\int\:\frac{1}{(x^{2}+9)}dx
derivada de x^2+sqrt(x)	\frac{d}{dx}(x^{2}+\sqrt{x})
derivada de (1/(x^2-2/(x^4))(x+8x^3))	\frac{d}{dx}((\frac{1}{x^{2}}-\frac{2}{x^{4}})(x+8x^{3}))
serie de n=1 a infinity de (1/2)^{1/n}	\sum\:_{n=1}^{\infty\:}(\frac{1}{2})^{\frac{1}{n}}
integral de 1 a 2 de (x+1/x)^2	\int\:_{1}^{2}(x+\frac{1}{x})^{2}dx
(\partial)/(\partial y)(5x^2-3xy+xyz)	\frac{\partial\:}{\partial\:y}(5x^{2}-3xy+xyz)
límite cuando x tiende a infinity de-2*x	\lim\:_{x\to\:\infty\:}(-2\cdot\:x)
derivada de 3x^5+8x^2	\frac{d}{dx}(3x^{5}+8x^{2})
área y=e^{-x},x=2,y=1	area\:y=e^{-x},x=2,y=1
derivada de arccos(x/pi)	\frac{d}{dx}(\arccos(\frac{x}{π}))
integral de sec^2(x)-6	\int\:\sec^{2}(x)-6dx
(\partial)/(\partial y)(3x^2y^4+1)	\frac{\partial\:}{\partial\:y}(3x^{2}y^{4}+1)
(\partial)/(\partial x)(4x^3y^2-4x^2+y^6+1)	\frac{\partial\:}{\partial\:x}(4x^{3}y^{2}-4x^{2}+y^{6}+1)
integral de 0 a 1 de xcos(x)	\int\:_{0}^{1}x\cos(x)dx
integral de 2 a 6 de x^2	\int\:_{2}^{6}x^{2}dx
(\partial)/(\partial y)(3x^2-3y^2)	\frac{\partial\:}{\partial\:y}(3x^{2}-3y^{2})
(\partial)/(\partial x)(sqrt(9-2x^2-y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{9-2x^{2}-y^{2}})
integral de 1/4 sin(2x)	\int\:\frac{1}{4}\sin(2x)dx
integral de x^3sqrt(x^4+11)	\int\:x^{3}\sqrt{x^{4}+11}dx
integral de 2sin(x/2)	\int\:2\sin(\frac{x}{2})dx
integral de (65x+7)/((8x+1)(x-1))	\int\:\frac{65x+7}{(8x+1)(x-1)}dx
integral de (sin(x)*cos(x))	\int\:(\sin(x)\cdot\:\cos(x))dx
derivada de cos^3(x^2)	\frac{d}{dx}(\cos^{3}(x^{2}))
y^{''}-2y^'+y=3e^{2x}	y^{\prime\:\prime\:}-2y^{\prime\:}+y=3e^{2x}
tangent y= 4/x ,(-5,-4/5)	tangent\:y=\frac{4}{x},(-5,-\frac{4}{5})
7sqrt(xy)(dy)/(dx)=1	7\sqrt{xy}\frac{dy}{dx}=1
pendiente (-5,-7),(4,-1)	slope\:(-5,-7),(4,-1)
tangent sqrt(x),\at x=81	tangent\:\sqrt{x},\at\:x=81
derivative e^r	derivative\:e^{r}
integral de 0 a (3pi)/2 de 3\|sin(x)\|	\int\:_{0}^{\frac{3π}{2}}3\left\|\sin(x)\right\|dx
(y^3-t^3)dt-ty^2dy=0,y(1)=3	(y^{3}-t^{3})dt-ty^{2}dy=0,y(1)=3
f(x)=(5-4x^2+x^5)/(x^3)	f(x)=\frac{5-4x^{2}+x^{5}}{x^{3}}
(dy)/(dx)=8xsqrt(25-y^2)	\frac{dy}{dx}=8x\sqrt{25-y^{2}}
serie de n=1 a infinity de 3-2/(3^n)	\sum\:_{n=1}^{\infty\:}3-\frac{2}{3^{n}}
integral de b a 2b de x^7	\int\:_{b}^{2b}x^{7}dx
límite cuando h tiende a+0 de h	\lim\:_{h\to\:+0}(h)
integral de 2xy^2-3	\int\:2xy^{2}-3dx
integral de 1/(x^2sqrt(x^2-8))	\int\:\frac{1}{x^{2}\sqrt{x^{2}-8}}dx
(\partial)/(\partial y)(ln(x^2+3xy))	\frac{\partial\:}{\partial\:y}(\ln(x^{2}+3xy))
f(x)=x^2e^x	f(x)=x^{2}e^{x}
integral de xsqrt(81-x^2)	\int\:x\sqrt{81-x^{2}}dx
integral de 0 a 12 de 2pix(12x-x^2)	\int\:_{0}^{12}2πx(12x-x^{2})dx
derivative (u-u)(u+u)	derivative\:(u-u)(u+u)
derivative x^2+2x-3	derivative\:x^{2}+2x-3
x^2y^'=2x^2e^{4x}-3xy	x^{2}y^{\prime\:}=2x^{2}e^{4x}-3xy
d/(dt)((cos(t)+sin(t))/(-sin(t)+cos(t)))	\frac{d}{dt}(\frac{\cos(t)+\sin(t)}{-\sin(t)+\cos(t)})
integral de (26)/(sqrt(x)+x\sqrt{x)}	\int\:\frac{26}{\sqrt{x}+x\sqrt{x}}dx
límite cuando x tiende a 0 de (x+2)^2	\lim\:_{x\to\:0}((x+2)^{2})
tangent x^4-25x^2+144	tangent\:x^{4}-25x^{2}+144
integral de x^2(-cos(x))'	\int\:x^{2}(-\cos(x))\prime\:dx
integral de t^6sin(2t)	\int\:t^{6}\sin(2t)dt
derivada de \sqrt[4]{7x}	\frac{d}{dx}(\sqrt[4]{7x})
derivative 370*2^{(1/10 x)}	derivative\:370\cdot\:2^{(\frac{1}{10}x)}
integral de x/((5x+2)^3)	\int\:\frac{x}{(5x+2)^{3}}dx
integral de 0 a x de arctan(t^2)	\int\:_{0}^{x}\arctan(t^{2})dt
derivada de 5/(4x^3)	\frac{d}{dx}(\frac{5}{4x^{3}})
integral de 1/(sqrt(x-1)+\sqrt{x+1)}	\int\:\frac{1}{\sqrt{x-1}+\sqrt{x+1}}dx
maclaurin e^x*cos(x)	maclaurin\:e^{x}\cdot\:\cos(x)
integral de e^{-x}ln(x)	\int\:e^{-x}\ln(x)dx
tangent y=3x^2-5x,(2,2)	tangent\:y=3x^{2}-5x,(2,2)
derivada de ln(x/(1-x))	\frac{d}{dx}(\ln(\frac{x}{1-x}))
integral de (x+sin(y))	\int\:(x+\sin(y))dx
derivative f(x)=2x^2-9	derivative\:f(x)=2x^{2}-9
integral de (x/6)^n	\int\:(\frac{x}{6})^{n}dx
integral de 0 a ln(4) de e^x-e^{-4x}	\int\:_{0}^{\ln(4)}e^{x}-e^{-4x}dx
y^{''}+3y^'+2y=e^{-t},y(0)=0,y^'(0)=1	y^{\prime\:\prime\:}+3y^{\prime\:}+2y=e^{-t},y(0)=0,y^{\prime\:}(0)=1
derivative 9e^x+4/(\sqrt[3]{x)}	derivative\:9e^{x}+\frac{4}{\sqrt[3]{x}}
(\partial)/(\partial x)(x^2ye^{x^2+y^2})	\frac{\partial\:}{\partial\:x}(x^{2}ye^{x^{2}+y^{2}})
integral de sqrt((x-1)/(x^5))	\int\:\sqrt{\frac{x-1}{x^{5}}}dx
integral de (x^2)/(x^2-6x+13)	\int\:\frac{x^{2}}{x^{2}-6x+13}dx
(1+x^4)dy=-x(1+4y^2)dx	(1+x^{4})dy=-x(1+4y^{2})dx
límite cuando x tiende a 0 de 1/x*sin(x)	\lim\:_{x\to\:0}(\frac{1}{x}\cdot\:\sin(x))

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