Question
Download Solution PDFWhat is value of
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The rules for integrating even and odd functions ,
If the function is even or odd and the interval is [-a, a], we can apply these rules:
- When f(x) is even ⇔
- When f(x) is odd ⇔
Calculation:
Let f (x) = x5 sin4 x
f (-x) = (-x)5 sin4 (-x) = -x5 (-sin x )4 = -x5 sin4 x .
⇒ f(-x) = - f(x)
So, f(x) is an odd function .
We knoiw that, when f(x) is odd ⇔
Hence ,
The correct option is 4 .
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