Problem based on direct use of rules of integration and formula for standard integrals.

WORKING RULE

Simplify the integrand till it becomes an algebraic sum of functions so that the rules of integration and formula for standard integral may be directly used.

Example I = ∫ (2 - 3 Sin x) / Cos²x dx

Solution : I = ∫ (2 / Cos²x) dx - 3 ∫(Sin x) / Cos²x dx

I = 2 ∫ Sec²x dx - 3 ∫ Tan x . Sec x dx

I = 2 Tan x - 3 Sec x + C