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Answer:
[tex]\frac{7}{2}a^2 - \frac{7}{2}b^2[/tex]
Explanation:
[tex]\int\limits^a_b {7x} \, dx[/tex]
[tex]=[\frac{7}{2}x^2]^a_b[/tex]
[tex]=\frac{7}{2}a^2 - \frac{7}{2}b^2[/tex]