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प्रश्न
Evaluate: `int_-1^1 x^17.cos^4x dx`
विकल्प
`oo`
1
– 1
0
उत्तर
0
Explanation:
Let f(x) = x17 cos4x
∴ f(– x) = (– x)17 cos4(– x)
= – x17 cos4x
= – f(x)
`\implies` f(x) is an odd function.
So by the property of definite integration.
`int_-a^a f(x)dx` = 0
If f(x) is an odd function.
`\implies int_-1^1 x^17 cos^4x dx` = 0
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