IBMediumCalculus10–12

Integration by Substitution

Integração por Substituição

Find $\int 2x \cdot \cos(x^{2}) \, dx$ .

The integrand contains a function and the derivative of that function, so a substitution will simplify it. Choose $u$ yourself and write down the matching $du$ .

Solution

Step 1 of 2

1.Let $u = x^{2}$ , $du = 2x \, dx$