apopoy73 apopoy73
  • 28-04-2024
  • Mathematics
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Find the area under the curve f(x)=(x^3)+1 from[0,2] using limits.

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Soit (x,y) appartient à ]0,+∞[×]0,+∞[ tel que f(x,y)=e^(-x(1+y²)) . ona ∫_0^∞(∫_0^∞ f(x,y) dx) dy =π/2 Et ∫ _0^+∞ e^(-x(1+y²)) dy = ((e^-x)/(√x))∫ _0^+∞ e^(-z²)