If \( \int \frac{\cos x d x}{\sin ^{3} x\left(1+\sin ^{6} x\right)^...

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If \( \int \frac{\cos x d x}{\sin ^{3} x\left(1+\sin ^{6} x\right)^{2 / 3}}=f(x)\left(1+\sin ^{6} x\right)^{1 / \lambda}+c \),
\( \mathrm{P}^{1: 4} \)
W where \( c \) is a constant of integration, then \( \lambda \cdot f\left(\frac{\pi}{3}\right)= \)
(1) \( \frac{9}{8} \)
(2) 2
(3) -2
(4) \( -\frac{9}{8} \)
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