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We can derive reduction formulas for the integral of the form \( \int \sin ^{n} x d x, \int \cos ^{n} x d x \int \tan ^{n} x d x \), \( \int \cot ^{n} x d x \) 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 \( \sin x, \cos x \) etc.

If \( I=\int \sec ^{6} x d x=\frac{1}{5} \tan ^{5} x+A \tan ^{3} x+\tan x+C \) then \( A \) is equal to
(a) \( 1 / 3 \)
(b) \( 2 / 3 \)
(c) \( -1 / 3 \)
(d) \( -2 / 3 \)
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