MHT CET · Maths · Definite Integration
The value of \(\int_0^\pi\left|\sin ^3 x\right| \mathrm{d} x\) is
- A 0
- B \(\frac{3}{8}\)
- C \(\frac{4}{3}\)
- D \(\pi\)
Answer & Solution
Correct Answer
(C) \(\frac{4}{3}\)
Step-by-step Solution
Detailed explanation
\( \int_0^\pi\left|\sin ^3 x\right| \, \mathrm{d} x = \int_0^\pi \sin ^3 x \, \mathrm{d} x \) \( = \int_0^\pi \sin x (1 - \cos^2 x) \, \mathrm{d} x \)
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