itegration with values

[Unregistered]

how do u find exact value of ∫ cos θ .dθ between values 1 nd 0?

[PJones]

Use the identity cos2A≡2cosA-1
=> cosA≡(1+cos2A)/2

so ∫ cos θ dθ = ∫(1+cos2θ)/2 .dθ
= 1/2[θ+(1/2)sin2θ]

put in the limits 0 then pie ( i think these were the limits, not 0 and 1)

=1/2[pie - 0]
=1/2 (pie)