Thread: Integration by evaluation

I need some help with an integration question that's been bugging me. I just can't identify the conclusions applied to the following jump:

integral of 1 - 0.5sin squared 2theta dtheta (between 0 and pi/2) = integral of 1 - 0.25(1 - cos4theta) dtheta (between 0 and pi/2)

can anyone help?

Thank you

Originally Posted by maggiec

I need some help with an integration question that's been bugging me. I just can't identify the conclusions applied to the following jump:

integral of 1 - 0.5sin squared 2theta dtheta (between 0 and pi/2) = integral of 1 - 0.25(1 - cos4theta) dtheta (between 0 and pi/2)

can anyone help?

Thank you

used the power reduction identity ...

Originally Posted by skeeter

used the power reduction identity ...

Can I also ask, what is this identity a derivation of?
Thanks

Originally Posted by maggiec

Can I also ask, what is this identity a derivation of?
Thanks

Double-Angle and Half-Angle Formulas