I have tried to evaluate \(\displaystyle\int{\frac{{{\sin{{\left({8}{x}\right)}}}}}{{{9}+{{\sin}^{{4}}{\left({4}{x}\right)}}}}}{\left.{d}{x}\right.}\)

Beryneingmk39

Beryneingmk39

Answered question

2022-03-31

I have tried to evaluate
sin(8x)9+sin4(4x)dx

Answer & Explanation

enriuadaziaa

enriuadaziaa

Beginner2022-04-01Added 7 answers

Let
I=sin(8x)9+sin4(4x)dx
Substitute
4x=t4dx=dt
I=sin(8x)9+sin4(4x)dx=14sin(2t)9+sin4(t)dt
=142sintcost9sin4(t)dt
Agian substitute
sin2t=u2sintcostdt=du
I=1419+t2du

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