The value of ∫₋₅⁵ (x³ sin² x + x⁵ cos² x) dx is:
The value of ∫₋₅⁵ (x³ sin² x + x⁵ cos² x) dx is:
- A. 0
- B. 10
- C. 25
- D. 50
Answer: A) 0
Explanation: Both terms are odd functions (odd power x times even function of x). Product of odd and even is odd. Sum of odd functions is odd. Integral over symmetric limits is 0.
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