CAIE A-Level Mathematics AS 1.8.2 Constant of Integration Questions

Practise trigonometric identities and equations within the AS mathematics syllabus.

Exam points

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

[Maximum number: 2]

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

The equation of a curve is such that $\frac{\mathrm{d} y}{\mathrm{~d} x}=\mathrm{f}(x)$ . It is given that the point (-1,-1) lies on the curve.

Find the equation of the curve.

-1=-2+c
Substitute x=-1, y=-1 into their integrated expression ( c
present)
$y=\frac{-2}{x+2}+1$
Accept $y=-2(x+2)^{-1}+1 .-2$ must be resolved.

All question bank results loaded

CAIE A-Level Mathematics AS 1.8.2 Constant of Integration Questions question 1