answer the question in image ….….….….….….….….….….….….….….….….….….….….….….….….….….….….….….….….….….….….….….….….…....

write sec^3x as sec^x*secx and then integrate by using integration by parts …..................

take the first functions as secx and second functions as sec^x

hence the integral will evaluate to 

secx∫sec^xdx-∫secxtanx∫sec^xdx and we know the integral of sec^2x and for the second integral can be done by subsitutuions