Question

The value of the integration \(\int_{-\pi / 4}^{\pi / 4}\left(\lambda|\sin x|+\frac{\mu \sin x}{1+\cos x}+\gamma\right) d x\)
(A) is independent of \(\lambda\) only
(B) is independent of \(\mu\) only
(C) is independent of \(\gamma\) only
(D) depends on \(\lambda, \mu\) and \(\gamma\)

Answer 1

Ans : (B)
Hint \(: I=2 \lambda \int_{0}^{\frac{\pi}{4}} \sin x d x+\mu \int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} \tan \frac{x}{2} d x+\gamma \int_{-\frac{\pi}{4}}^{\frac{\pi}{4}} d x\)
$$
=2 \lambda\left(1-\frac{1}{\sqrt{2}}\right)-0+\gamma\left(\frac{\pi}{2}\right) \quad\left(\because \tan \frac{x}{2} \text { is an odd function }\right)
$$

Answer 2

buy generic tadalafil 10mg <a href="https://ordergnonline.com/">cialis 40mg cost</a> buy ed pills best price