Find $\int (4 cos (2 x) + 3 sin (3 x)) d x$ .

Practise more Integration and Definite Areas Between Curves.

Free questions with an explanation for every one, and full timed Scottish Highers mock tests.

All Integration and Definite Areas Between Curves questions Take a mock test

More Integration and Definite Areas Between Curves questions

Evaluate the definite integral $\int_{1}^{2} (6 x^{2} - \frac{4}{x ^{2}}) d x$ .
Find the area of the region bounded by the parabola $y = 8 - 2 x^{2}$ and the $x$ -axis.
Given that $\frac{d y}{d x} = 4 x^{3} - 6 x$ and the curve passes through the point $(2, 5)$ , find the equation of the curve.
Calculate the area enclosed between the curves $y = x^{2}$ and $y = 2 x - x^{2}$ .
Evaluate $\int_{0}^{a} (2 x - 3) d x = 4$ , where $a > 0$ . Find the exact value of $a$ .