We can derive reduction formula for the integration of the form ^ n x d x, ^ n x d x, ^ n…
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
We can derive reduction formula for the integration of the form \(\int \sin ^{n} x d x, \int \cos ^{n} x d x, \int \tan ^{n} x d x\)and other integrals of these form using integration by parts. In turn these reduction formulas can be used to compute integrals of higher power of sin x and cos x.
If \(\int \tan ^{6} x d x=\frac{1}{5}\)tan5x + A tan3x + tan x –x + c then A is equal to
- \(\frac{1}{3}\)
- \(\frac{2}{3}\)
- \(-\frac{2}{3}\)
- \(-\frac{1}{3}\)
Answer
(D) - 1 3
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