Find the normalization constant for each function: (a) f(x) = cos ; (¹″x) ; 0 ≤ x ≤ a (a is a real constant)

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Find the normalization constant for each function:
(a) ƒ(x) = cos (¹7x); 0 ≤ x ≤ a (a is a real constant)
a
(b) f(x) = x² (1 + ²); 0 ≤ x ≤ a (a is a real constant)
Standard integral:
[ cos² (bx) dx
1
1
= x + Ab
-sin (2bx)
Transcribed Image Text:Find the normalization constant for each function: (a) ƒ(x) = cos (¹7x); 0 ≤ x ≤ a (a is a real constant) a (b) f(x) = x² (1 + ²); 0 ≤ x ≤ a (a is a real constant) Standard integral: [ cos² (bx) dx 1 1 = x + Ab -sin (2bx)
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