Integration Full Chapter Explained - Integration Class 12 - Everything you need

Last updated at Sept. 25, 2018 by Teachoo

Transcript

Ex 7.6, 1 - Chapter 7 Class 12 Integration - NCERT Book Integrate x sin x β« x sin x dx | | Algebraic Trigonometric We solve this by Integration by parts We know that β« f(x) g(x) dx = f(x) β«π(π₯) ππ₯ β β«(πβ² (π₯) β« π(π₯) ππ₯) ππ₯ Putting f(x) = x and g(x) = sin x β«1βγπ₯ sinβ‘π₯ γ ππ₯=π₯ β«1βsinβ‘π₯ ππ₯ββ«1β(π(π₯)/ππ₯ β«1βγsinβ‘π₯ ππ₯γ) ππ₯ = β π₯ cosβ‘π₯ β β«1βγβcosβ‘γπ₯ ππ₯γ γ = β π₯ cosβ‘π₯+ β«1βγcosβ‘π₯+πΆγ = β π πππβ‘π+πππβ‘π+πͺ

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.