ISRO Electronics & Communication (ECE) 2011 - Question 77

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Topic: Mathematics

$\int_{0}^{\pi/2}(cos^{3}x)dx=$

  • A. $3/2$
  • B. $2/3$
  • C. $8/9$
  • D. $8/13$

Answer: B. $2/3$

Explanation: $\int_{0}^{\pi/2}cos^{3}x~dx=\int_{0}^{\pi/2}sin^{3}x~dx=\frac{2}{3\cdot 1}=\frac{2}{3}$.

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