Find $\displaystyle \displaystyle\int \frac{x}{\sqrt{x^2 - 4}} \, \mathrm{d}x$.[2] Find \(\display

Question

Find $\displaystyle \displaystyle\int \frac{x}{\sqrt{x^2 - 4}} \, \mathrm{d}x$.[2] Find $\displaystyle \displaystyle\int x^2 \ln (2x) \, \mathrm{d}x$.[3] Find $\displaystyle \displaystyle\int \frac{\sin 2x}{1 + \cos^2 x} \, \mathrm{d}x$.[2]

Accepted Answer

(a) $\sqrt{x^2-4}+C$ (b) $\dfrac{x^3}{3}\ln(2x)-\dfrac{x^3}{9}+C$ (c) $-\ln(1+\cos^2x)+C$

2025 MI P1 Q3

2025 MI P1 Q3

Video Solution:

Solution:

Solution locked