Math, asked by BrainlyHelper, 1 year ago

sin 4x sin 8x.dx
Integrate the function

Answers

Answered by rohitkumargupta
28
HELLO DEAR,

GIVEN function is integral of (sin4x*sin8x).dx

we know:- sinAsinB = 1/2[cos(A-B)-cos(A+B)]

NOW, \sf{\int{sin4x*sin8x}\,dx}

=\sf{\int{1/2[cos(-4x)-cos(12x)]}\,dx}

=\sf{\int{1/2[cos4x-cos12x]}\,dx}

=\sf{1/2[\frac{sin4x}{4}-\frac{sin12x}{12}]+c}

I HOPE ITS HELP YOU DEAR,
THANKS
Answered by NavyaG
3

Answer:

Step-by-step explanation:

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