Question

function and differentiation

Answer 1

Hello Friend,

Here's the solution in the picture.

Hope it helps.

Purva
@Purvaparmar1405
Brainly.in

Answer 2

Solution :

Let, 3x + 2 = z

Taking differentials, we get

 3 dx = dz

↣ dx = $\mathsf{\frac{1}{3}}$dz

Now, ∫ sec²(3x + 2) dx

    = ∫ sec²z ($\mathsf{\frac{1}{3}}$) dz

    = $\mathsf{\frac{1}{3}}$ ∫ sec²z dz

    = $\mathsf{\frac{1}{3}}$ tanz + c ,

    where c is integral constant

    = $\mathsf{\frac{1}{3}}$ tan(3x + 2) + c

{ See the given attachment for the graph of the integral. }