Answer
True
Work Step by Step
True.
Let $z=x$.
Then,
a) The new lower bound: $z_1=x_1=a$
b) The new upper bound: $z_2=x_2=b$
c) $\frac{dz}{dx}=1\to dz=dx$
Using the substitution rule, we get
$\int_a^bf(x)dx=\int_{a}^{b}f(z)dz$
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