2014 A-level H1 Mathematics (8864) Question 1 Suggested Solutions

By KS Teng

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions.

\int_{1}^{6} \frac{1}{\sqrt{1+4x}} dx

= \frac{1}{4} \int_{1}^{6} {4}{\sqrt{1+4x}}^{-0.5} dx

= \frac{1}{4} \frac{(1+4x)^{0.5}}{0.5}

= \frac{1}{2}[5-\sqrt{5}]

KS Comments

Students should check the answers with the Graphing Calculator.

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