 Hello friends and how are you all today? My name is Priyanka and the question says integrate the following. Here the function is sin inverse cos x. Now, proceeding on with the solution, we need to find out the integral of sin inverse cos x with respect to dx. Now we know that cos theta is equal to sin 90 minus theta, right? So on using it we have sin inverse sin 90 which can be written as pi by 2 minus theta that is x over here. So sin inverse will get cancelled out with sin so we are left with integral of pi by 2 minus x with respect to dx. That is integral of pi by 2 into dx minus integral of x into dx which is pi by 2 into x minus x square by 2 plus c. So the answer to the session is pi x by 2 minus x square by 2 plus c, right? This completes the session. Hope you enjoy and understood it well. Have a very nice day ahead.