Definite Integral $\int_2^4\frac{\sqrt{\log(9-x)}}{\sqrt{\log(9-x)}+\sqrt{\log(3+x)}}dx$ [duplicate]
How can I find the value of this following definite integral?
$$\int_2^4\frac{\sqrt{\log(9-x)}}{\sqrt{\log(9-x)}+\sqrt{\log(3+x)}}dx$$
HINT:
Use $$I=\int_a^bf(x)dx=\int_a^bf(a+b-x)dx$$
and $$2I=\int_a^bf(x)dx+\int_a^bf(a+b-x)dx=\int_a^b\left(f(x)+f(a+b-x)\right)dx$$
Observe that if $\displaystyle g(x)=\sqrt{\ln(9-x)},$ $\displaystyle g(4+2-x)=\sqrt{\ln(9-(6-x))}=\sqrt{\ln(x+3)}$