Review question

What is the area under the curve $y = \cos x - \sin x +2$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R8679

Question

Given the curve $y = \cos x - \sin x +2$ find in terms of $a$ an expression for the area $A$ enclosed between the axes, the ordinate $a \; (> 0)$ and this curve. Verify that when $a = 1.5$, $A = 3.07$ approximately.

It is required to find the value of $a$ for which $A = 3$. Taking $1.5$ as a first approximation to $a$, find a second approximation, giving three significant figures in your answer.