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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CAT Formulas
Indefinite Integration
Substitution $$x=a-t$$
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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