Question

Which statement is correct when integrating an expression that is not immediately a standard integral?

विकल्प

• Use partial fractions for every radical term.

• Replace every quadratic by \[x^2-a^2\].

• Convert the integrand into a known standard form before integrating.

• Omit algebraic simplification and directly write \[C\].

Answer 1

The central procedure is to reduce a complicated integrand to a known standard form. Suitable algebraic simplification, substitution, partial fractions, or completing the square may be used.