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Problemas populares

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Problemas populares de Cálculo

derivada de (4x^2-8x+8e^{-6x})	\frac{d}{dx}((4x^{2}-8x+8)e^{-6x})
derivative x=tsin(t)	derivative\:x=t\sin(t)
derivative 8e^t	derivative\:8e^{t}
límite cuando x tiende a 0-de x^2sin(1/x)	\lim\:_{x\to\:0-}(x^{2}\sin(\frac{1}{x}))
integral de e^x(1/2 x^2+x)	\int\:e^{x}(\frac{1}{2}x^{2}+x)dx
ty^'=y^2+1	ty^{\prime\:}=y^{2}+1
integral de xcos(bx)	\int\:x\cos(bx)dx
implicit (dy)/(dx),y= 6/x	implicit\:\frac{dy}{dx},y=\frac{6}{x}
(2x+ln(y))dx+(x/y)dy=0	(2x+\ln(y))dx+(\frac{x}{y})dy=0
pendienteintercept (3.11)(11.8)	slopeintercept\:(3.11)(11.8)
integral de-pi/2 a pi/2 de sin(x)	\int\:_{-\frac{π}{2}}^{\frac{π}{2}}\sin(x)dx
área 4x+y^2=12,y=x	area\:4x+y^{2}=12,y=x
límite cuando x tiende a 0 de (sin(2x))/(3x)	\lim\:_{x\to\:0}(\frac{\sin(2x)}{3x})
integral de 4pir^2	\int\:4πr^{2}dr
integral de 1 a 2 de 3x	\int\:_{1}^{2}3xdx
(dy)/(dx)-tan(x)y=sin(x)	\frac{dy}{dx}-\tan(x)y=\sin(x)
integral de xsqrt(4x^2-5)	\int\:x\sqrt{4x^{2}-5}dx
derivative f(x)=(3x^4+8)^{4/3}	derivative\:f(x)=(3x^{4}+8)^{\frac{4}{3}}
integral de 0 a 1 de 2(1+sqrt(x))^4	\int\:_{0}^{1}2(1+\sqrt{x})^{4}dx
derivada de cos(x^2-2x^2sin(x^2))	\frac{d}{dx}(\cos(x^{2})-2x^{2}\sin(x^{2}))
derivada de 1-tan^2(x)	\frac{d}{dx}(1-\tan^{2}(x))
derivative y=1-cos^2(x)	derivative\:y=1-\cos^{2}(x)
derivada de-sin(x/2)	\frac{d}{dx}(-\sin(\frac{x}{2}))
y^'=13.2-(6y)/(740-2t)	y^{\prime\:}=13.2-\frac{6y}{740-2t}
(\partial)/(\partial y)(sqrt(x^2+2y^2))	\frac{\partial\:}{\partial\:y}(\sqrt{x^{2}+2y^{2}})
(dy)/(dx)=4x-y	\frac{dy}{dx}=4x-y
integral de (x^2-3x+1)/(x+1)	\int\:\frac{x^{2}-3x+1}{x+1}dx
(\partial)/(\partial y)(3xe^{-2xy})	\frac{\partial\:}{\partial\:y}(3xe^{-2xy})
((dy)/(dx))=sqrt(y)-y	(\frac{dy}{dx})=\sqrt{y}-y
integral de 1/(sqrt(x^2+4x+8))	\int\:\frac{1}{\sqrt{x^{2}+4x+8}}dx
derivada de (3x-5^4)	\frac{d}{dx}((3x-5)^{4})
5e^{2x}(dy)/(dx)=-10 x/(y^2)	5e^{2x}\frac{dy}{dx}=-10\frac{x}{y^{2}}
tangent f(x)= 1/(2sqrt(x)),\at x=49	tangent\:f(x)=\frac{1}{2\sqrt{x}},\at\:x=49
derivative f(x)=9-4/(x^2)	derivative\:f(x)=9-\frac{4}{x^{2}}
derivada de x^2sec(1/x)	\frac{d}{dx}(x^{2}\sec(\frac{1}{x}))
integral de x^{3.4}-2x^{sqrt(2)-1}	\int\:x^{3.4}-2x^{\sqrt{2}-1}dx
integral de-2 a 0 de sqrt(4-x^2)	\int\:_{-2}^{0}\sqrt{4-x^{2}}dx
integral de x^3sin(x)	\int\:x^{3}\sin(x)dx
(\partial)/(\partial t)(t^4e^{-x})	\frac{\partial\:}{\partial\:t}(t^{4}e^{-x})
taylor 2/(1-2x)	taylor\:\frac{2}{1-2x}
límite cuando x tiende a 4 de (x-5)/(x+1)	\lim\:_{x\to\:4}(\frac{x-5}{x+1})
(\partial)/(\partial x)((2x-1)^3)	\frac{\partial\:}{\partial\:x}((2x-1)^{3})
9y^{''}+6y=0	9y^{\prime\:\prime\:}+6y=0
integral de (-cos(2x)-1)/4	\int\:\frac{-\cos(2x)-1}{4}dx
integral de 3/98 x^2	\int\:\frac{3}{98}x^{2}dx
f(x)=cos^2(3x)	f(x)=\cos^{2}(3x)
y^'=8x^3*y^2	y^{\prime\:}=8x^{3}\cdot\:y^{2}
límite cuando x tiende a 0 de (sin(7x))/(tan(5x))	\lim\:_{x\to\:0}(\frac{\sin(7x)}{\tan(5x)})
y^'+1/x y-e^{-x^2}=0,y(1)=0	y^{\prime\:}+\frac{1}{x}y-e^{-x^{2}}=0,y(1)=0
serie de n=0 a infinity de 2^nn^2x^n	\sum\:_{n=0}^{\infty\:}2^{n}n^{2}x^{n}
integral de ln(3)e^x	\int\:\ln(3)e^{x}dx
integral de (x^4+9)/(x^4+9x^2)	\int\:\frac{x^{4}+9}{x^{4}+9x^{2}}dx
inversalaplace 1/((s+6)(s-4))	inverselaplace\:\frac{1}{(s+6)(s-4)}
derivada de 4^{(8x^4+cos(x)^3})	\frac{d}{dx}(4^{(8x^{4}+\cos(x))^{3}})
integral de 4x^3-3x^2+4x-3	\int\:4x^{3}-3x^{2}+4x-3dx
t^2-tyy^'+y^2=0	t^{2}-t\cdot\:y\cdot\:y^{\prime\:}+y^{2}=0
derivative (t^6)/((t^3+1)^2)	derivative\:\frac{t^{6}}{(t^{3}+1)^{2}}
integral de 6tan^5(x)sec^2(x)	\int\:6\tan^{5}(x)\sec^{2}(x)dx
límite cuando x tiende a 0-de 8/(5x^{1/5)}	\lim\:_{x\to\:0-}(\frac{8}{5x^{\frac{1}{5}}})
integral de (x^2)/(x-5)	\int\:\frac{x^{2}}{x-5}dx
(dy)/(dx)=0.2*y+200	\frac{dy}{dx}=0.2\cdot\:y+200
(x^3+y^3)dx-xy^2dy=0	(x^{3}+y^{3})dx-xy^{2}dy=0
derivada de (x^2ln(sqrt(x))/(1+2x))	\frac{d}{dx}(\frac{x^{2}\ln(\sqrt{x})}{1+2x})
derivative sqrt(x-7)	derivative\:\sqrt{x-7}
-10x^2y+(dy)/(dx)=-7x^2	-10x^{2}y+\frac{dy}{dx}=-7x^{2}
integral de 1000x	\int\:1000xdx
integral de 0 a 1 de (4x)/((x^2+1)^2)	\int\:_{0}^{1}\frac{4x}{(x^{2}+1)^{2}}dx
límite cuando x tiende a 5 de (3x+5)/(5x+6)	\lim\:_{x\to\:5}(\frac{3x+5}{5x+6})
integral de 3/((x^2+1)^2)	\int\:\frac{3}{(x^{2}+1)^{2}}dx
integral de (inx)/(x^2)	\int\:\frac{inx}{x^{2}}dx
d/(dt)(3sin^3(t))	\frac{d}{dt}(3\sin^{3}(t))
7(dy)/(dx)=y^2	7\frac{dy}{dx}=y^{2}
tangent f(x)=3x^3-x^2+4,(1,6)	tangent\:f(x)=3x^{3}-x^{2}+4,(1,6)
derivada de-6/5 e^{-20x}	\frac{d}{dx}(-\frac{6}{5}e^{-20x})
integral de e^{3x}-sin(x)+7/(1+x^2)	\int\:e^{3x}-\sin(x)+\frac{7}{1+x^{2}}dx
(\partial)/(\partial x)(ln(x^2+2y^2+2))	\frac{\partial\:}{\partial\:x}(\ln(x^{2}+2y^{2}+2))
y^'t^4=0	y^{\prime\:}t^{4}=0
integral de 0 a pi de x^2sin(x)	\int\:_{0}^{π}x^{2}\sin(x)dx
laplacetransformación e^{-4t}*cos(t)	laplacetransform\:e^{-4t}\cdot\:\cos(t)
integral de (-2/(x^2)+3sqrt(x))	\int\:(-\frac{2}{x^{2}}+3\sqrt{x})dx
integral de 1/(sqrt(3-x^2-2x))	\int\:\frac{1}{\sqrt{3-x^{2}-2x}}dx
integral de tan(sqrt(x-7)) 1/(sqrt(x-7))	\int\:\tan(\sqrt{x-7})\frac{1}{\sqrt{x-7}}dx
integral de e^{ax+7}	\int\:e^{ax+7}dx
(\partial)/(\partial y)(-x)	\frac{\partial\:}{\partial\:y}(-x)
tangent f(x)=x^4-17x^2+16,\at x=1	tangent\:f(x)=x^{4}-17x^{2}+16,\at\:x=1
área sin^2(x),sin^3(x),[0,pi]	area\:\sin^{2}(x),\sin^{3}(x),[0,π]
área y=2x^3,x=0,x=2	area\:y=2x^{3},x=0,x=2
área y=x^3-13x^2+36x,y=-x^3+13x^2-36x	area\:y=x^{3}-13x^{2}+36x,y=-x^{3}+13x^{2}-36x
derivada de ln\|ln(3x\|)	\frac{d}{dx}(\ln\left\|\ln(3x)\right\|)
derivada de e^{2x-4}	\frac{d}{dx}(e^{2x-4})
derivada de sqrt((3x^{2/3)-2})	\frac{d}{dx}(\sqrt{(3x)^{\frac{2}{3}}-2})
derivative f(x)=(2x)/(x^2+4)	derivative\:f(x)=\frac{2x}{x^{2}+4}
integral de-9x^2sec(3x^3+1)tan(3x^3+1)	\int\:-9x^{2}\sec(3x^{3}+1)\tan(3x^{3}+1)dx
integral de inx	\int\:inxdx
(\partial)/(\partial x)(y{f}(x)+2x^3)	\frac{\partial\:}{\partial\:x}(y{f}(x)+2x^{3})
derivative e^{1-x}*(5-x^2)	derivative\:e^{1-x}\cdot\:(5-x^{2})
derivative f(x)=(7x^4-6x^3-5x)^8	derivative\:f(x)=(7x^{4}-6x^{3}-5x)^{8}
integral de 120x*(2x+1)^4	\int\:120x\cdot\:(2x+1)^{4}dx
integral de 1/3 e^{-x/2}(x+1)	\int\:\frac{1}{3}e^{-\frac{x}{2}}(x+1)dx
integral de sec^8(t)anx	\int\:\sec^{8}(t)anxdx

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