Example 25 (i) - Chapter 7 Class 12 Integrals

Last updated at August 18, 2026 by

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) ∫_2^3▒𝑥^2 𝑑𝑥 Step 1 ∫1▒〖𝑥^2 𝑑𝑥〗=(𝑥^(2 + 1) )/(2 + 1)=(𝑥^3 )/3 Hence F(𝑥)=𝑥^3/3 Step 2 ∫_2^3▒〖𝑥^2 𝑑𝑥〗=𝐹(3)−𝐹(2) =3^3/3−2^3/3=27/3−8/3=𝟏𝟗/𝟑

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