AP EAMCET · Maths · Definite Integration
\(\int_{-\pi / 4}^{\pi / 4} x^3 \sin ^4(x) d x=\)
- A 0
- B \(\pi\)
- C 1
- D \(2 \pi\)
Answer & Solution
Correct Answer
(A) 0
Step-by-step Solution
Detailed explanation
\(I=\int_{-\pi / 4}^{\pi / 4} x^3 \cdot \sin ^4 x d x\) As, \(\int_{-a}^a f(x) d x=0\), when \(f(-x)=-f(x),\) We have,…
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