Question

If $\int\frac{dx}{\cos^{3}x\sqrt{2\sin 2x}}=(\tan x)^{A}+C(\tan x)^{B}+k$, where k is a constant of integration, then A + B + C equals :
(a) $\frac{16}{5}$
(b) $\frac{27}{10}$
(c) $\frac{7}{10}$
(d) $\frac{21}{5}$

Answer 1

Hello ☺

(b) $\frac{27}{10}$

Answer 2

If $\int\frac{dx}{\cos^{3}x\sqrt{2\sin 2x}}=(\tan x)^{A}+C(\tan x)^{B}+k$, where k is a constant of integration, then A + B + C equals :

(a) $\frac{16}{5}$

(b) $\frac{27}{10}$✔

(c) $\frac{7}{10}$

(d) $\frac{21}{5}$