`int_8^15 (dx)/((x-3)sqrt(x+1))=1/2log(5/3)`

Evaluate int (dx)/((x+1)(x+2))

(dy)/(dx)=log(x+1)

Let x and a stand for distance. Is int frac(dx)(sqrt(a^2- x^2)) = frac(1)(A) sin^-1 frac(a)(x) dimensionally correct.

int_(2)^(8) |x-5| dx

Solve the following equations. 8 sqrt (x/(x + 3)) - sqrt((x+3)/x) = 2 .