Question

Integrate the following function with respect to x:

sin^2 5x =​

Answer 1

Answer:

Step-by-step explanation:

∫Sin²5x.dx

//We know that Cos2x = 1 - 2Sin²x => Sin²x = 1/2(1 - Cos2x). Thus

=> ∫1/2(1 - Cos10x).dx

=> 1/2 ∫dx - 1/2∫Cos10xdx

//we know that ∫Cos(ax)dx = 1/a.Sinax + C

=> x/2 - 1/20*Sin10x + C