Question

Find the area under 1/√(1-9x²).

a) sin⁻¹(3x) + C
b) cos⁻¹(3x) + C
c) tan⁻¹(3x) + C
d) cot⁻¹(3x) + C

Answer 1

The area under the curve 1/√(1-9x²) can be found by calculating the area of the right triangle.

Step-by-step explanation:

To find the area under the curve 1/√(1-9x²), we can calculate the area of the right triangle. Based on Figure 10.13, the area under the curve is the area of the right triangle. Therefore, the correct option for the area under the curve is b) cos⁻¹(3x) + C.