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Example 2 (iii) - Chapter 7 Class 12 Integrals (Term 2)
Last updated at March 16, 2023 by Teachoo
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Chapter 7 Class 12 Integrals
Serial order wise
Transcript
Example 2 Find the following integrals: (iii) β«β(π₯^(3/2)+2π^π₯β1/π₯) ππ₯ β«1β(π₯^(3/2)+2π^π₯β1/π₯) ππ₯ =β«1βπ₯^(3/2) ππ₯+2β«1βπ^π₯ ππ₯ββ«1β1/π₯ ππ₯ = π₯^(3/2 + 1)/(3/2 + 1) +2π^π₯βlogβ‘γ |π₯|γ+πΆ = π₯^(5/2)/(5/2)+2π^π₯βγlog γβ‘|π₯|+πΆ = γππ γ^(π/π)/π+ππ^πβγπππ γβ‘|π|+πͺ As β«1βπ₯^π ππ₯=π₯^(π + 1)/(π + 1) +πΆ β«1βπ^π₯ ππ₯=π^π₯ +πΆ β«1β1/π₯ ππ₯=logβ‘γ |π₯|γ +πΆ
