Question

plzz give me answer ​

Answer 1

Answer:

=3/5-√3+2/5+√3

=3(5+√3)+2(5-√3)/5² - (√3)²

=15+3√3+10-2√3/25-3

=25+√3/22

Answer 2

$\rm{\displaystyle\int \frac{3x+4}{\sqrt{5x^2+8}}dx}$

$\rm{\displaystyle=\int \frac{3x}{\sqrt{5x^2+8}}+\frac{4}{\sqrt{5x^2+8}}dx}$

$\rm\displaystyle=\int \frac{3x}{\sqrt{5x^2+8}}dx+\int \frac{4}{\sqrt{5x^2+8}}dx}$

$\rm{\displaystyle=\frac{3}{5}\sqrt{5x^2+8}+\frac{2}{\sqrt{5}}\left(2\ln \left|\sqrt{5}x+\sqrt{5x^2+8}\right|-3\ln \left(2\right)\right)}$

$\rm{\displaystyle=\frac{3}{5}\sqrt{5x^2+8}+\frac{2}{\sqrt{5}}\left(2\ln \left|\sqrt{5}x+\sqrt{5x^2+8}\right|-3\ln \left(2\right)\right)+C}$