 Hi, and welcome to our session. Let us discuss a polling question. The question says, by using the properties of definite integrals evaluate the polling integral of sine x to the power 7 from minus pi by 2 to pi by 2. Let's now begin with the solution. Let fx is equal to sine x to the power 7. We will first take that whether fx is an even function or an odd function. Now, f of minus x is equal to sine of minus x whole to the power 7. This is equal to minus sine x to the power 7. And this is equal to minus sine x to the power 7. This is equal to minus fx. So this implies fx is an odd function. We know that if f is an odd function, then integral of fx from minus a to a is equal to 0. As f is an odd function, therefore, integral of sine x to the power 7 from minus pi by 2 to pi by 2 is 0. Hence, our required answer is 0. So this completes the session. Bye, and take care.