Integration - Integrable Forms of Trigonometric Functions

IB AA SL: core and optional content

Core: the second integral, 1/x³−sin(5x+2). Optional: the first and third integrals involving sec.

Integrate the following expressions with respect to \(x\):

1. \(7\cos 3x + \sec^2 x\)
2. \(\frac{1}{x^3} - \sin(5x + 2)\)
3. \(\sin 3x - \sec^2 6x\)