_ - 3 2 ^ - 2 [(x+ )^ 3 + ^ 2 (x+3 ) ] d x is equal to
Mathematics · JEE Main · NTA Exams — Integral Calculus
\(\int_{-\frac{3 \pi}{2}}^{-\frac{\pi}{2}}\left[(x+\pi)^{3}+\cos ^{2}(x+3 \pi)\right] d x\) is equal to
- \(\frac{\pi}{4}-1\)
- \(\frac{\pi^{4}}{32}\)
- \(\frac{\pi^{4}}{32}+\frac{\pi}{2}\)
- \(\frac{\pi}{2}\)
Answer
(A) 4 -1
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