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Problemas populares

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Problemas populares de Cálculo

integral de 7x^3	\int\:7x^{3}dx
tangent f(x)=-5x^2+x,\at x=3	tangent\:f(x)=-5x^{2}+x,\at\:x=3
integral de 0 a 1 de (sqrt(x)(x+1))	\int\:_{0}^{1}(\sqrt{x}(x+1))dx
derivative-2/(5x)	derivative\:-\frac{2}{5x}
tangent f(x)=3x+6sqrt(x),(1,9)	tangent\:f(x)=3x+6\sqrt{x},(1,9)
integral de 5 a infinity de e^{-x/3}	\int\:_{5}^{\infty\:}e^{-\frac{x}{3}}dx
integral de (2x)/(sqrt(9-x^2))	\int\:\frac{2x}{\sqrt{9-x^{2}}}dx
paridad-x+tan(x)	parity\:-x+\tan(x)
integral de 1 a 6 de 2	\int\:_{1}^{6}2dx
integral de (sqrt((16-9x^2)^3))/(x^6)	\int\:\frac{\sqrt{(16-9x^{2})^{3}}}{x^{6}}dx
(\partial)/(\partial x)(x^2cos(xy))	\frac{\partial\:}{\partial\:x}(x^{2}\cos(xy))
integral de x(3sec^2(x)-tan^2(x))	\int\:x(3\sec^{2}(x)-\tan^{2}(x))dx
integral de x/(x^2+6x+18)	\int\:\frac{x}{x^{2}+6x+18}dx
inversalaplace (s+1)/(s(s^2+4s+4))	inverselaplace\:\frac{s+1}{s(s^{2}+4s+4)}
derivada de xcsc(x)	\frac{d}{dx}(x\csc(x))
derivative x^3+2x	derivative\:x^{3}+2x
integral de 9sin(x)cos(x)	\int\:9\sin(x)\cos(x)dx
(2e^y-x)y^'=1	(2e^{y}-x)y^{\prime\:}=1
integral de (x^2)/((225+x^2)^2)	\int\:\frac{x^{2}}{(225+x^{2})^{2}}dx
integral de (1+x)/(x-2x+2x^2)	\int\:\frac{1+x}{x-2x+2x^{2}}dx
integral de 4/(4x^2-4x+5)	\int\:\frac{4}{4x^{2}-4x+5}dx
límite cuando x tiende a 0 de 2x+sqrt(x)	\lim\:_{x\to\:0}(2x+\sqrt{x})
derivative 8/(r^3)	derivative\:\frac{8}{r^{3}}
integral de e^{-2θ}cos(θ)	\int\:e^{-2θ}\cos(θ)dθ
límite cuando x tiende a 0 de xcos(2/x)	\lim\:_{x\to\:0}(x\cos(\frac{2}{x}))
límite cuando x tiende a 1+de 8/(1-x)	\lim\:_{x\to\:1+}(\frac{8}{1-x})
x=y	x=y
integral de ((1))/((x^2-1))	\int\:\frac{(1)}{(x^{2}-1)}dx
derivative 3^{x^5}	derivative\:3^{x^{5}}
integral de (x-14)/(x^2(x+2))	\int\:\frac{x-14}{x^{2}(x+2)}dx
derivative f(x)= 4/(x+4)	derivative\:f(x)=\frac{4}{x+4}
integral de 2 a x de t^5	\int\:_{2}^{x}t^{5}dt
integral de 4e^{4x+5}	\int\:4e^{4x+5}dx
derivative f(x)=cot(x)tan(x)	derivative\:f(x)=\cot(x)\tan(x)
x(x+1)y^'+xy=1	x(x+1)y^{\prime\:}+xy=1
integral de 0 a 1 de (arcsin(x))^2	\int\:_{0}^{1}(\arcsin(x))^{2}dx
integral de 1/(x^2sqrt(x^2-16))	\int\:\frac{1}{x^{2}\sqrt{x^{2}-16}}dx
límite cuando x tiende a 0 de sin(pi/x)	\lim\:_{x\to\:0}(\sin(\frac{π}{x}))
tangent sqrt(x+2),\at x=4	tangent\:\sqrt{x+2},\at\:x=4
integral de (6x^2-5x+4)	\int\:(6x^{2}-5x+4)dx
d/(dt)(xe^{y/({z)(t)}})	\frac{d}{dt}(xe^{\frac{y}{{z}(t)}})
derivative y=ln(e^x)	derivative\:y=\ln(e^{x})
serie de n=1000 a infinity de 1/n	\sum\:_{n=1000}^{\infty\:}\frac{1}{n}
área 12-x,sqrt(x),1	area\:12-x,\sqrt{x},1
integral de 2e^{2x}	\int\:2e^{2x}dx
límite cuando x tiende a-10 de (x+15)/(x+5)	\lim\:_{x\to\:-10}(\frac{x+15}{x+5})
integral de 1 a 3 de sin(x^3+2)	\int\:_{1}^{3}\sin(x^{3}+2)dx
(dx)/(dt)=1.5t-(2x)/(100+t)	\frac{dx}{dt}=1.5t-\frac{2x}{100+t}
d/(dt)(e^t+4)	\frac{d}{dt}(e^{t}+4)
área 3/2 x^2,-1/2 x^2+2	area\:\frac{3}{2}x^{2},-\frac{1}{2}x^{2}+2
integral de (7x)/(36x^2+1)	\int\:\frac{7x}{36x^{2}+1}dx
área x=10-2y,x=y^2+2	area\:x=10-2y,x=y^{2}+2
f^'(x)=sqrt(x+4)	f^{\prime\:}(x)=\sqrt{x+4}
integral de ((x^3-1))/(x-1)	\int\:\frac{(x^{3}-1)}{x-1}dx
integral de pi/2 a pi de xsin^2(x)	\int\:_{\frac{π}{2}}^{π}x\sin^{2}(x)dx
derivada de (1-y/(x-1))	\frac{d}{dx}(\frac{1-y}{x-1})
integral de (cos^2(x)cos(x))	\int\:(\cos^{2}(x)\cos(x))dx
integral de sin^2(t)cos^3(t)	\int\:\sin^{2}(t)\cos^{3}(t)dt
derivada de ((1-x)/(2x))	\frac{d}{dx}(\frac{(1-x)}{2x})
y^'=0.19y+200	y^{\prime\:}=0.19y+200
integral de 5e^4	\int\:5e^{4}dx
integral de (6-3\sqrt[3]{x}+6sqrt(x))	\int\:(6-3\sqrt[3]{x}+6\sqrt{x})dx
derivative y=x^{4/7}+6x	derivative\:y=x^{\frac{4}{7}}+6x
derivada de x^4-2x^3+3x+1	\frac{d}{dx}(x^{4}-2x^{3}+3x+1)
integral de (2-5e^{-x})/(e^{-x)}	\int\:\frac{2-5e^{-x}}{e^{-x}}dx
integral de x^7(x^8-9)^4	\int\:x^{7}(x^{8}-9)^{4}dx
integral de sin^2(θ)cos^2(θ)	\int\:\sin^{2}(θ)\cos^{2}(θ)dθ
límite cuando x tiende a 0 de 1/x-1/(e^x-1)	\lim\:_{x\to\:0}(\frac{1}{x}-\frac{1}{e^{x}-1})
integral de xe	\int\:xedx
derivada de (x+2e^{2x})	\frac{d}{dx}((x+2)e^{2x})
(\partial)/(\partial x)(xln(y)+y^2z+z^2)	\frac{\partial\:}{\partial\:x}(x\ln(y)+y^{2}z+z^{2})
derivative f(x)=6x-3	derivative\:f(x)=6x-3
(dx)/(dy)=(2y+sec^2(y))/(2x)	\frac{dx}{dy}=\frac{2y+\sec^{2}(y)}{2x}
(3e^x)^'	(3e^{x})^{\prime\:}
integral de 0 a 0.5 de 250x	\int\:_{0}^{0.5}250xdx
tangent f(x)=(x^3)/3+6x^2+36x+9	tangent\:f(x)=\frac{x^{3}}{3}+6x^{2}+36x+9
integral de x/(1+2x)	\int\:\frac{x}{1+2x}dx
derivada de-(x+3(x-9)^2)	\frac{d}{dx}(-(x+3)(x-9)^{2})
integral de x*e^{xy}	\int\:x\cdot\:e^{xy}dy
integral de 16xe^{4x}	\int\:16xe^{4x}dx
tangent sqrt(x^2+16)	tangent\:\sqrt{x^{2}+16}
factorizar 3x^3-12x^2+15x	factor\:3x^{3}-12x^{2}+15x
laplacetransformación f(t)=t^2	laplacetransform\:f(t)=t^{2}
integral de 8y^{-3}	\int\:8y^{-3}dy
tangent f(x)= 8/(x^2+4),\at x=4	tangent\:f(x)=\frac{8}{x^{2}+4},\at\:x=4
(\partial)/(\partial y)(x^2+y^2-4y)	\frac{\partial\:}{\partial\:y}(x^{2}+y^{2}-4y)
integral de xarctan(16x)	\int\:x\arctan(16x)dx
(\partial)/(\partial y)(x+x/(x^2+y^2))	\frac{\partial\:}{\partial\:y}(x+\frac{x}{x^{2}+y^{2}})
(dy)/(dx)=4e^{-3x}	\frac{dy}{dx}=4e^{-3x}
integral de e^x*sin(e^x)	\int\:e^{x}\cdot\:\sin(e^{x})dx
límite cuando x tiende a 3-de-(3)^2+5(3)-5	\lim\:_{x\to\:3-}(-(3)^{2}+5(3)-5)
tangent 8sqrt(x)-2	tangent\:8\sqrt{x}-2
integral de 0 a 1 de (3e^{-x}-e^{-2x})	\int\:_{0}^{1}(3e^{-x}-e^{-2x})dx
y^{''}+6y^'+9y=27+e^{-3x}	y^{\prime\:\prime\:}+6y^{\prime\:}+9y=27+e^{-3x}
integral de e^{3ln(4x-5)}	\int\:e^{3\ln(4x-5)}dx
integral de tsin^2(t)	\int\:t\sin^{2}(t)dt
f(x)=sqrt(5-3x)	f(x)=\sqrt{5-3x}
y^'-1=y^2	y^{\prime\:}-1=y^{2}
inversalaplace 2/(s(s^2+2s+2))	inverselaplace\:\frac{2}{s(s^{2}+2s+2)}
integral de 1/(1+\frac{2z){L}}	\int\:\frac{1}{1+\frac{2z}{L}}dz

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