Substitution $$x=a-t$$

Rarely Tested

Substitution $$x=a-t$$

Under the substitution:

$$x=a-t$$

we have:

$$dx=-dt$$

and:

$$\int_0^af(x)\,dx=\int_0^af(a-x)\,dx$$

Usage

- Fundamental substitution for exploiting symmetry in definite integrals.

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