∫ (sin^m X)/(cos^(m + 2) X) . dx =

Question

\(\int \frac{sin^m X}{cos^{m + 2}X}.dx =\)

∫ (sin^m X)/(cos^{m + 2} X) . dx =

(a) \(\frac{tan^{m + 1}X}{m + 1} + c\)

(b) (m + 2) tan^{m + 1} x + c

(c) \(\frac{tan^m\,X}{m} + c\)

(d) (m + 1) tan^{m + 1} x + c

Answer 1

Correct answer is (a) \(\frac{tan^{m + 1}X}{m + 1} + c\)