1.Let the domain of the function f(x)=log4(log5(log3(18x−x2−77)))f(x)=\log_4\left(\log_5\left(\log_3(18x-x^2-77)\right)\right)f(x)=log4(log5(log3(18x−x2−77))) be (a,b)(a,b)(a,b). Then the value of the integral ∫absin3xsin3x+sin3(a+b−x) dx\int_a^b \frac{\sin^3 x}{\sin^3 x+\sin^3(a+b-x)}\,dx∫absin3x+sin3(a+b−x)sin3xdx is equal to:Login to continueOnly logged in users canattempt or see the solution.
