In the integral

MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals

Problem

In the integral ∫6xcos⁡(x2) dx\displaystyle \int 6x \cos(x^{2})\,dx, which expression of xx would you select as a single new variable so that the entire integrand can be rewritten in terms of that variable alone? Write the substitution uu in terms of xx.

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