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Problemas populares

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Problemas populares de Cálculo

derivative 2x^{1/5}(x^3-8)	derivative\:2x^{\frac{1}{5}}(x^{3}-8)
límite cuando x tiende a 0 de x/(cos(x))	\lim\:_{x\to\:0}(\frac{x}{\cos(x)})
integral de t^2+tsqrt(t-1)+tsin(pi)t	\int\:t^{2}+t\sqrt{t-1}+t\sin(π)tdt
integral de-1 a 2 de (x^2-4x+3)	\int\:_{-1}^{2}(x^{2}-4x+3)dx
derivada de 1/2 x+3	\frac{d}{dx}(\frac{1}{2}x+3)
integral de e^{2x}-1/2 e^{x/2}	\int\:e^{2x}-\frac{1}{2}e^{\frac{x}{2}}dx
derivada de e^{-x}+x/3	\frac{d}{dx}(e^{-x}+\frac{x}{3})
límite cuando x tiende a infinity de \|x\|	\lim\:_{x\to\:\infty\:}(\left\|x\right\|)
integral de 1/((3x+4)(4x-1))	\int\:\frac{1}{(3x+4)(4x-1)}dx
derivada de 4x^5-3x^4+2x^3-x+100	\frac{d}{dx}(4x^{5}-3x^{4}+2x^{3}-x+100)
(1-x)dy-y^2dx=0	(1-x)dy-y^{2}dx=0
integral de (32x^2)/((x-24)(x+8)^2)	\int\:\frac{32x^{2}}{(x-24)(x+8)^{2}}dx
(dx)/(dt)= 1/(xe^{t+5x)}	\frac{dx}{dt}=\frac{1}{xe^{t+5x}}
integral de (x^2)/(sqrt(x^3-1))	\int\:\frac{x^{2}}{\sqrt{x^{3}-1}}dx
(\partial)/(\partial x)(e^{-(x^2+xy+y^2)})	\frac{\partial\:}{\partial\:x}(e^{-(x^{2}+xy+y^{2})})
(2xy-3)dx+(x^2+4y)dy=0,y(1)=2	(2xy-3)dx+(x^{2}+4y)dy=0,y(1)=2
integral de 2x^2sqrt(x^3+1)	\int\:2x^{2}\sqrt{x^{3}+1}dx
límite cuando x tiende a+2 de (2x-25)/(x-2)	\lim\:_{x\to\:+2}(\frac{2x-25}{x-2})
f(t)=arcsin(1/t)	f(t)=\arcsin(\frac{1}{t})
límite cuando x tiende a-0.1 de (sin(3x))/x	\lim\:_{x\to\:-0.1}(\frac{\sin(3x)}{x})
x^{''}+3x^'+6x=0	x^{\prime\:\prime\:}+3x^{\prime\:}+6x=0
derivative f(x)=\sqrt[3]{x}+sqrt(x)	derivative\:f(x)=\sqrt[3]{x}+\sqrt{x}
derivada de sqrt(x^2-6)	\frac{d}{dx}(\sqrt{x^{2}-6})
integral de 0 a 2 de (2x)/((x^2+3)^2)	\int\:_{0}^{2}\frac{2x}{(x^{2}+3)^{2}}dx
pendiente (14,448),(1,y)	slope\:(14,448),(1,y)
integral de sqrt(4)	\int\:\sqrt{4}
límite cuando x tiende a 0+de 1/x-1/(\|x\|)	\lim\:_{x\to\:0+}(\frac{1}{x}-\frac{1}{\left\|x\right\|})
derivada de (1+e^x^4)	\frac{d}{dx}((1+e^{x})^{4})
derivative (7x)/(x+1)	derivative\:\frac{7x}{x+1}
integral de cos(x)cos(7x)	\int\:\cos(x)\cos(7x)dx
derivada de (-2x^2+2/((x^2+1)^2))	\frac{d}{dx}(\frac{-2x^{2}+2}{(x^{2}+1)^{2}})
derivada de x^2sqrt(1-x^2)	\frac{d}{dx}(x^{2}\sqrt{1-x^{2}})
integral de (x^4+\sqrt[3]{x}+3x)/(5x^3)	\int\:\frac{x^{4}+\sqrt[3]{x}+3x}{5x^{3}}dx
derivada de-8ln(x)	\frac{d}{dx}(-8\ln(x))
derivative y=7x^{-7}	derivative\:y=7x^{-7}
(3x+2y+2y^2)dx+(x+2xy)dy=0	(3x+2y+2y^{2})dx+(x+2xy)dy=0
d/(dt)(k^2sin^2(t))	\frac{d}{dt}(k^{2}\sin^{2}(t))
derivative 2csc^3(sqrt(x))+3cta(x^2)	derivative\:2\csc^{3}(\sqrt{x})+3cta(x^{2})
límite cuando x tiende a 0-de 6+1/x	\lim\:_{x\to\:0-}(6+\frac{1}{x})
(\partial)/(\partial x)(ye^{-xy})	\frac{\partial\:}{\partial\:x}(ye^{-xy})
(\partial)/(\partial x)(x/(x+1))	\frac{\partial\:}{\partial\:x}(\frac{x}{x+1})
límite cuando x tiende a infinity de x(1)^x	\lim\:_{x\to\:\infty\:}(x(1)^{x})
integral de e^{8θ}sin(9θ)	\int\:e^{8θ}\sin(9θ)dθ
derivative 12e^x	derivative\:12e^{x}
derivative (x^2+x-2)/(x^3+6)	derivative\:\frac{x^{2}+x-2}{x^{3}+6}
derivative y=(x^2-4)/(x-3)	derivative\:y=\frac{x^{2}-4}{x-3}
derivada de (sec(x+tan(x))^{-3})	\frac{d}{dx}((\sec(x)+\tan(x))^{-3})
integral de 0 a 4 de 5x	\int\:_{0}^{4}5xdx
límite cuando x tiende a 0+de ln(tan(x))	\lim\:_{x\to\:0+}(\ln(\tan(x)))
derivada de arcsec(x-7x)	\frac{d}{dx}(\arcsec(x)-7x)
integral de 1/(2y-y^2)	\int\:\frac{1}{2y-y^{2}}dy
tangent y=2x^3-5x+1,(-1,4)	tangent\:y=2x^{3}-5x+1,(-1,4)
integral de (3sqrt(x))/(x-1)	\int\:\frac{3\sqrt{x}}{x-1}dx
límite cuando h tiende a 0 de 2	\lim\:_{h\to\:0}(2)
(dP)/(dt)= 1/10 P(500-P)	\frac{dP}{dt}=\frac{1}{10}P(500-P)
integral de sec^2(5x)tan^4(5x)	\int\:\sec^{2}(5x)\tan^{4}(5x)dx
límite cuando x tiende a 1 de (x^2-4)/(x-1)	\lim\:_{x\to\:1}(\frac{x^{2}-4}{x-1})
laplacetransformación f(t)=e^{t+7}	laplacetransform\:f(t)=e^{t+7}
laplacetransformación 3y	laplacetransform\:3y
derivada de 1/(3x^2-5/(2x)+8x-6)	\frac{d}{dx}(\frac{1}{3x^{2}}-\frac{5}{2x}+8x-6)
derivada de 2cos(-x)	\frac{d}{dx}(2\cos(-x))
inversalaplace ((x))/((x+2)(x-3))	inverselaplace\:\frac{(x)}{(x+2)(x-3)}
integral de (x^2+x+1)/((x^2+1)^2)	\int\:\frac{x^{2}+x+1}{(x^{2}+1)^{2}}dx
x(dy)/(dx)=y^2-y	x\frac{dy}{dx}=y^{2}-y
integral de 1 a 4 de t^{-3/2}	\int\:_{1}^{4}t^{-\frac{3}{2}}dt
x^{''}+10x^'+25=14e^{-5t}	x^{\prime\:\prime\:}+10x^{\prime\:}+25=14e^{-5t}
(dy)/(dt)=-4(y-3)	\frac{dy}{dt}=-4(y-3)
factorizar x^4-50x^2	factor\:x^{4}-50x^{2}
tangent (x^2)/(x+1)	tangent\:\frac{x^{2}}{x+1}
límite cuando x tiende a 2 de 9-x	\lim\:_{x\to\:2}(9-x)
integral de (2u)/(u+2)	\int\:\frac{2u}{u+2}du
integral de 16x^3+1/x	\int\:16x^{3}+\frac{1}{x}dx
derivada de 3/(4x^3)	\frac{d}{dx}(\frac{3}{4x^{3}})
integral de 0 a 3 de sqrt(x^2-9)	\int\:_{0}^{3}\sqrt{x^{2}-9}dx
integral de 30+(60)/(e^{0.06x)}	\int\:30+\frac{60}{e^{0.06x}}dx
d/(dy)(6xy)	\frac{d}{dy}(6xy)
integral de 1/(xsqrt(a^2-a^2x^2))	\int\:\frac{1}{x\sqrt{a^{2}-a^{2}x^{2}}}dx
(dy)/(dx)=((y^3))/(x^2)	\frac{dy}{dx}=\frac{(y^{3})}{x^{2}}
integral de (x^2+1)/(\sqrt[3]{x)}	\int\:\frac{x^{2}+1}{\sqrt[3]{x}}dx
(\partial)/(\partial y)((A^2x^2+B^2y^2)^4)	\frac{\partial\:}{\partial\:y}((A^{2}x^{2}+B^{2}y^{2})^{4})
integral de (e^{4/x})/(x^2)	\int\:\frac{e^{\frac{4}{x}}}{x^{2}}dx
integral de 1/(x^2)-\sqrt[3]{x}	\int\:\frac{1}{x^{2}}-\sqrt[3]{x}dx
límite cuando x tiende a-infinity de xx	\lim\:_{x\to\:-\infty\:}(xx)
x(dy)/(dx)-(1+x)y=y^2	x\frac{dy}{dx}-(1+x)y=y^{2}
inversalaplace (s+7)/((s+2)(s-5))	inverselaplace\:\frac{s+7}{(s+2)(s-5)}
derivative y=(e^x)/(ln(x))	derivative\:y=\frac{e^{x}}{\ln(x)}
derivative f(x)=(8x^3+2x^2)^4	derivative\:f(x)=(8x^{3}+2x^{2})^{4}
derivada de (1+9x^2(x-x^2))	\frac{d}{dx}((1+9x^{2})(x-x^{2}))
derivada de arctan(arcsin(sqrt(x)))	\frac{d}{dx}(\arctan(\arcsin(\sqrt{x})))
integral de 3y^5sqrt(y^3+1)	\int\:3y^{5}\sqrt{y^{3}+1}dy
límite cuando x tiende a-1 de x+2x^4	\lim\:_{x\to\:-1}(x+2x^{4})
derivada de axe^{-x}	\frac{d}{dx}(axe^{-x})
(\partial)/(\partial x)(ln(ax+by))	\frac{\partial\:}{\partial\:x}(\ln(ax+by))
serie de n=1 a infinity de (1)^n	\sum\:_{n=1}^{\infty\:}(1)^{n}
integral de (x^2+1)^2	\int\:(x^{2}+1)^{2}dx
integral de (4x^2+7x+4)/((x^2+1)^2)	\int\:\frac{4x^{2}+7x+4}{(x^{2}+1)^{2}}dx
derivada de (x^3-5x^2/(x^8-4))	\frac{d}{dx}(\frac{x^{3}-5x^{2}}{x^{8}-4})
derivada de 1+sin^2(x)	\frac{d}{dx}(1+\sin^{2}(x))
derivative (2t+4)i+sin(4t)j+2t^3k	derivative\:(2t+4)i+\sin(4t)j+2t^{3}k
límite cuando x tiende a 0+de x^{3x}	\lim\:_{x\to\:0+}(x^{3x})

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