Question

Integrate: ∫(cos²x-sin²x+x²)dx please try to solve this question.​

Answer 1

$\huge{\pink\{\pink{\underline{\underline{\blue{\mathbb{\green{SOLUTION}}}}}}}{\blue\}}$

$\huge{\pink{\underline{\underline{\blue{\mathbb{\blue{Identity}}}}}}}{}$

$</p><p> \cos {}^{2} (x) - \sin {}^{2} (x) = \cos(2x)$

THEN

$\int( \cos {}^{2} (x) - \sin {}^{2} (x) + {x}^{2} ) dx\\ \\ = \int( \cos(2x) + {x}^{2} )dx \\ \\ = \sin(2x) + \frac{ {x}^{3} }{3} + c$