IB Maths AA HL 5.11 Definite integrals and areas Question Bank

Practise IB Mathematics SL/HL 5.11 by applying definite integrals and areas methods to exam-style questions.

Exam points

[Maximum number: 3]

Consider the differential equation $y \frac{\mathrm{~d} y}{\mathrm{~d} x}=\cos 2 x$ .

A different solution of the differential equation, satisfying y=2 when $x=\frac{\pi}{4}$ ,
defines a curve C.

Find the area of R.

$\quad \int_{0}^{\frac{\pi}{2}}(\sin 2 x+3)^{\frac{1}{2}} \mathrm{~d} x$
=2.99

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