definite-integral

Question: The value of $\int_{a}^{a+(\pi /2)}{({{\sin }^{4}}x+{{\cos }^{4}}x)\,dx}$ is



1) Independent of $a$
2) $a\,{{\left( \frac{\pi }{2} \right)}^{2}}$
3) $\frac{3\pi }{8}$
4) $\frac{3\pi {{a}^{2}}}{8}$
Solution: Explanation: No Explanation
Summation of series by definite Integration

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