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Example 27 - Evaluate integrals: (i) 2->3 x^2 dx (ii) root x

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Transcript

Example 27 Evaluate the following integrals: (i) ∫_2^3β–’π‘₯^2 𝑑π‘₯ Step 1 ∫1β–’γ€–π‘₯^2 𝑑π‘₯γ€—=(π‘₯^(2 + 1) )/(2 + 1)=(π‘₯^3 )/3 Hence F(π‘₯)=π‘₯^3/3 Step 2 ∫_2^3β–’γ€–π‘₯^2 𝑑π‘₯γ€—=𝐹(3)βˆ’πΉ(2) =3^3/3βˆ’2^3/3=27/3βˆ’8/3=πŸπŸ—/πŸ‘

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.