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5 marks

Question 6

For \(b\ge1\), let \(\displaystyle I(b)= \int_{1}^{b} 9x^{- \frac{5}{2}}\, dx\).

Find I(b).

[2]

Evaluate \(\displaystyle \int_{1}^{\infty} 9x^{- \frac{5}{2}}\, dx\).

[1]

Find b when \(\displaystyle I(b)=\frac{21}{4}\).

[2]

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