Example 25 (i) - Evaluate the Definite Integral ∫ x^2 dx from 2 to 3 - Examples

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Example 25 Evaluate the following integrals: (i) ∫_2^3ā–’š‘„^2 š‘‘š‘„ Step 1 ∫1ā–’ć€–š‘„^2 š‘‘š‘„ć€—=(š‘„^(2 + 1) )/(2 + 1)=(š‘„^3 )/3 Hence F(š‘„)=š‘„^3/3 Step 2 ∫_2^3ā–’ć€–š‘„^2 š‘‘š‘„ć€—=š¹(3)āˆ’š¹(2) =3^3/3āˆ’2^3/3=27/3āˆ’8/3=šŸšŸ—/šŸ‘

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