Assertion (Statement I): If and

MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals

Problem

Assertion (Statement I): If

a > 0

and

b^2 - 4ac < 0

, then the value of the integral

\int \frac{dx}{ax^2 + bx + c}

will be of the type

\mu \tan^{-1} \frac{x+A}{B} + C, \text{ where } A, B, C, \mu \text{ are constants.}

Reason (Statement II): If

a > 0, b^2 - 4ac < 0

, then

ax^2 + bx + c

can be written as sum of two squares.