Guys, please help.
[tex]\huge \displaystyle \sf { \int_{0}^{ \frac{\pi}{3} }\frac{ {cos}^{2} x}{ \sqrt{1 + cos {}^{2} x} } \: dx }[/tex]
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Guys, please help.
[tex]\huge \displaystyle \sf { \int_{0}^{ \frac{\pi}{3} }\frac{ {cos}^{2} x}{ \sqrt{1 + cos {}^{2} x} } \: dx }[/tex]
No spamming..!!
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I = da 0 1+ cos²x
(1)
I = (T-x).sin(T-x).dx 1 + cos² (π - x) 0
I (π - x).sinx.dx 1 + cos²x 0
On adding (1)&(2), we get
21 = xsinx + T sinx - xsinx 1 + cos²x 0 dx
21= sinx 1 + cos²x da
cosa = t
-sinx.dx = dt -1 I = dt
2 1 + t² -1 [tan ¹] ¹ I = 2
I = 2 [tan ¹(-1)-tan(1)]
I = -T 2 ㅠ
I = X
I 2