If I = ^ 7 x ~d x then I equals

Mathematics · JEE Advanced · NTA ExamsIntegral Calculus

If \(\mathrm{I}=\int \sin ^{7} x \mathrm{~d} x\)then I equals
  1. –cos x + cos3x – cos5x + \(\frac{1}{7}\)cos7x + c
  2. –cos x + cos3x – \(\frac{3}{5} \cos ^{5} x+\frac{1}{7}\)cos7x + c
  3. tan x – tan3x + sin x \(-\frac{1}{3} \cos ^{3}\)x + c
  4. – cos x + cos5x \(-\frac{1}{3} \cos ^{3} x+\frac{1}{7}\)cos7x + c

Answer

(B) –cos x + cos 3 x – 3 5 ^ 5 x+ 1 7 cos 7 x + c

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