19. Investigate the following integrals if they converge or diverge
(a) ∫1^∞(e^-t)/(√(t)) dt.
(b

Name: 19. Investigate the following integrals if they converge or diverge (a) ∫1^∞(e^-t)/(√(t)) dt. (b) ∫-∞^∞(1)/(x^2(1 + e^x)) dx.
Uploaded: 2023-07-31T11:34:56-08:00
Duration: 1 min 43 s
Channel: Adi S
Description: 19. Investigate the following integrals if they converge or diverge (a) ∫1^∞(e^-t)/(√(t)) dt. (b) ∫-∞^∞(1)/(x^2(1 + e^x)) dx.

Question

Adi S · Accepted Answer

Step 1: 
To determine if the integral converges or diverges, we need to evaluate the integral.

Question

19. Investigate the following integrals if they converge or diverge (a) $\int_1^\infty \frac{e^{-t}}{\sqrt{t}} dt$. (b) $\int_{-\infty}^\infty \frac{1}{x^2(1 + e^x)} dx$.

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