a. Show that for b. Generalize the result in part (a).

Chapter , Problem 4AAE

(choose chapter or problem)

a. Show that for $0<\alpha \leq \pi / 2$.

$\int_{0}^{\alpha} \sqrt{1+\cos ^{2} \theta} d \theta>\sqrt{\alpha^{2}+\sin ^{2} \alpha}$.

b. Generalize the result in part (a).

Equation Transcription:

$0<\alpha{}\leq{}\pi{}/2$

∫ ${\ }_{0}^{\alpha{}}\ \sqrt{1+co{s}^{2}\theta{}}\ d\theta{}\ >\ \sqrt{{\alpha{}}^{2}+si{n}^{2}\ \alpha{}}$

Text Transcription:

0 < alpha leq pi/2

Integral_0^alpha sqrt 1+cos^2 theta d theta > sqrt alpha^2 + sin^2 alpha

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