Ex 7.2, 4
Last updated at Dec. 8, 2016 by Teachoo
Transcript
Ex 7.2, 4 Integrate the function: sinβ‘π₯. sin β‘(cosβ‘π₯) Step 1: Let cosβ‘π₯ = π‘ Differentiating both sides π€.π.π‘.π₯ βsinβ‘π₯=ππ‘/ππ₯ ππ₯=ππ‘/(βsinβ‘π₯ ) Step 2: Integrating function β«1βγsinβ‘π₯ . sinβ‘γ (cosβ‘π₯ )γ γ. ππ₯ Putting values of t & dt =β«1βγsinβ‘π₯ . sinβ‘π‘γ . ππ‘/(βsinβ‘π₯ ) =ββ«1βγsinβ‘π‘γ . ππ‘ =β(βcosβ‘π‘+πΆ) =cosβ‘π‘+πΎ Putting π‘=πππ β‘π₯ =πππβ‘(ππ¨π¬β‘π )+π²
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