Question

Evaluate: \[ \int \frac{\cos 2x+\sin 4x} {\sqrt{3\sin 2x-2}} \,dx \]

• A. \[ \frac1{27} \sqrt{3\sin2x-2} \,(6\sin2x+17)+C \]
• B. \[ \frac{\sqrt{3\sin2x-2}} {27(6\sin2x+17)} +C \]
• C. \[ \frac{27(6\sin2x+17)} {\sqrt{3\sin2x-2}} +C \]
• D. \[ 27\sqrt{3\sin2x-2} (6\sin2x+17)+C \]

Hint:

Whenever an expression of the form \[ \sqrt{a+b\sin 2x} \] appears, try substituting the quantity inside the square root. The resulting integral usually reduces to a simple power integral.

Answer 1

The Correct Option is A