Question

plz help me !!!!!!!!!!!!!

Answer 1

Take the integral:

∫sin²(x) dx

Write sin²(x) as 1/2 - 1/2 cos(2 x):

= ∫(1/2 - 1/2 cos(2 x)) dx

Integrate the sum term by term and factor out constants:

= -1/2 ∫cos(2 x) dx + 1/2 ∫1 dx

For the integrand cos(2 x), substitute u = 2 x and du = 2 dx:

= -1/4 ∫cos(u) du + 1/2 ∫1 dx

The integral of cos(u) is sin(u):

= -sin(u)/4 + 1/2 ∫1 dx

The integral of 1 is x:

= x/2 - sin(u)/4 + constant

Substitute back for u = 2 x:

= x/2 - 1/4 sin(2 x) + constant

Which is equal to:
Answer:
= 1/2 (x - sin(x) cos(x)) + constant

Answer 2

this is the answer.......