Scaled radical product

Scaled radical product

Secondary 4

6 marks

Original parallel to supplied A Math integration references

Show that \(\dfrac{\mathrm{d}}{\mathrm{d}x}\left[(2x+5)\sqrt{3x-1}\right]=\dfrac{18x+11}{2\sqrt{3x-1}}\).[3]
Hence evaluate the exact value of \(\displaystyle\int_1^3\dfrac{18x+11}{2\sqrt{3x-1}}\,\mathrm{d}x\).[3]

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Answer:\(15\sqrt2\)

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