CAIE A-Level Mathematics AS 1.8.3 Definite Integrals Questions

Practise solving trigonometric equations within the AS mathematics syllabus.

Exam points

use vector notation and operations
solve geometric problems with vectors
interpret vector relationships

[Maximum number: 3]

The function f is defined by $\mathrm{f}(x)=\frac{2}{(x+2)^{2}}$ for x>-2.

Find $\int_{1}^{\infty} \mathrm{f}(x) \mathrm{d} x$ .

$\frac{-2}{x+2}$
Integrate \mathrm{f}(x). Accept $-2(x+2)^{-1}$ . Can be unsimplified.
$0-\left(-\frac{2}{3}\right)=\frac{2}{3}$
Apply limit(s) to an integrated expansion. CAO for A1

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CAIE A-Level Mathematics AS 1.8.3 Definite Integrals Questions question 1