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Integration by substitution: (1 Viewer)

Yindi

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Would someone be able to explain this final step to me, :) thanks in advance:

Untitled.png
 

4025808

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Try expanding the right hand side using the trigonometric identities rules. Then you should get the left hand side.
 

Aesytic

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change the 1 on the top to tan(pi/4) and make the tan(x/2) at the bottom multiplied by tan(pi/4) then you have the expression for tan(x/2 + pi/4)
 

Yindi

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Wow, how obscure to bring the exapnsion in, but thank you very much.
 

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