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Question: Answered & Verified by Expert
The value of 8π0π2cosx2023sinx2023+cosx2023dx is ______.
MathematicsDefinite IntegrationJEE MainJEE Main 2023 (24 Jan Shift 1)
Solution:
1639 Upvotes Verified Answer
The correct answer is: 2

Let

I=8π0π2cosx2023sinx2023+cosx2023dx   ...1

Using 0af(x)dx=0af(a-x)dx

I=8π0π2sinx2023sinx2023+cosx2023dx   ...2

Adding 1 and 2, we get

2I=8π0π21 dx

2I=8πx0π2

I=2

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