 Hello students, let's solve the following question on integration. We have to integrate the function secant square 7 minus 4x. Before moving on to the solution, let us first know the formula for the integral of secant square theta d theta. It is tan theta plus c. And this will be the key idea. Let us now move on to the solution and let i be the integral secant square 7 minus 4x dx. Now here theta is 7 minus 4x so put t or theta equal to 7 minus 4x. So dt is equal to minus 4 dx and this implies dx is equal to dt by minus 4. Now dx is dt by minus 4 and e is 7 minus 4x. So substituting all these values in the integral, the integral i becomes secant square t dt upon minus 4. So this integral becomes minus 1 upon 4 secant square t and we know that its integral is tan theta if we have secant square theta d theta its integral is tan theta plus c. So this becomes minus 1 by 4 tan t plus c. Now substitute the value of t here so it becomes tan 7 minus 4x plus c. Hence the integral of the given function is minus 1 upon 4 tan 7 minus 4x plus c. Goodbye and take care. Hope you enjoy the session.