State the new lower and upper limits of integration when the substitution is made in…

MATHEMATICS · Subjective · A Level · Mathematics · Integration · Integration

Problem

State the new lower and upper limits of integration when the substitution u=g(x)u=g(x) is made in the definite integral ∫x=ax=bf(g(x)) g′(x) dx\displaystyle\int_{x=a}^{x=b} f\bigl(g(x)\bigr)\,g'(x)\,dx.

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