Evaluate \( \int_{-1}^{1} (2x + 1)^2 \, dx \)

Assessment: JAMB UTME - Mathematics - 1994 Subject: General Mathematics

Question 1 Report

Evaluate \( \int_{-1}^{1} (2x + 1)^2 \, dx \)

Answer Details
∫ − 1 1 (2x + 1)2dx
=  ∫ − 1 1 (4x2 + 4x + 1)dx
=  ∫ − 1 1 [ 4 x 3 3  + 2x2 + c]
= [ 4 3  + 3 + c] - [4 +  1 3  + c]
=  8 3  + 3 + -1 - C
=  8 3  + 2
=  14 3
= 

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