1+ ( x 4 ) d x is equal to
Mathematics · JEE Main · NTA Exams — Integral Calculus
\(\int \sqrt{1+\sin \left(\frac{x}{4}\right)} d x\) is equal to
- \(8\left(\sin \frac{x}{8}+\cos \frac{x}{8}\right)+c\)
- \(8\left(\sin \frac{x}{8}-\cos \frac{x}{8}\right)+c\)
- \(\frac{1}{8}\left(\sin \frac{x}{8}+\cos \frac{x}{8}\right)+c\)
- \(\frac{1}{8}\left(\sin \frac{x}{8}-\cos \frac{x}{8}\right)+c\)
Answer
(A) 8 ( x 8 + x 8 )+c
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