Edexcel A-Level Mathematics AS P1.5.2 Integration of Powers of X and Related Sums Questions

Practise Edexcel IAL Mathematics P1.5.2 by rewriting roots and reciprocals as powers, integrating term by term and using a point on the curve to determine c.

Exam points

rewrite roots and reciprocals as powers before integrating term by term
use a point on the curve to determine c after finding f(x) from f'(x)

[Maximum number: 5]

Find

\int\frac{4\sqrt{x}-3}{2x^2}\,\mathrm{d}x\quad x>0

writing the answer in its simplest form.

\frac{4\sqrt{x}-3}{2x^2}=2x^{-\frac32}-\frac32x^{-2}

\int\frac{4\sqrt{x}-3}{2x^2}\,\mathrm{d}x=-4x^{-\frac12}+\frac32x^{-1}+c

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Edexcel A-Level Mathematics AS P1.5.2 Integration of Powers of X and Related Sums Questions question 1