 Hi and welcome to our session. Let's discuss the following question. The question says integrate the following functions. The other function is 1 by square root of x plus a plus square root of x plus b. Let's now begin with the solution. In this question, we have to integrate the function 1 by square root of x plus a plus square root of x plus b with respect to x. In this question, we will multiply the numerator and denominator by square root of x plus a minus square root of x plus b. So this is equal to 1 by square root of x plus a plus square root of x plus b into square root of x plus a minus square root of x plus b by square root of x plus a minus square root of x plus b dx. This is equal to integral of square root of x plus a minus square root of x plus b using identity of a square minus b square. In the denominator, we have square root of x plus a whole square minus square root of x plus b whole square dx. This is equal to integral of square root of x plus a minus square root of x plus b upon x plus a minus x plus b dx. This is equal to 1 upon a minus b into integral of x plus a minus square root of x plus b dx. This is equal to 1 by a minus b into integral of square root of x plus a dx minus 1 by a minus b into integral of square root of x plus b dx. This is equal to 1 by a minus b into integral of x plus a to the power 1 by 2 dx minus 1 by a minus b into integral of x plus b to the power 1 by 2 dx. We know that integral of a x plus b to the power n with respect to x is a x plus b to the power n plus 1 by n plus 1 into derivative of x that is a plus c. Using this formula, derivative of integral of x plus a to the power 1 by 2 with respect to x is x plus a to the power 1 by 2 plus 1 by 1 by 2 plus 1 into derivative of x that is 1 minus 1 by a minus b. Again using this formula integral of x plus b to the power 1 by 2 is x plus b to the power 1 by 2 plus 1 by 1 by 2 plus 1 into derivative of x that is 1 plus c. This is equal to 1 by a minus b into 2 by 3 into x plus a to the power 3 by 2 minus 1 by a minus b into 2 by 3 into x plus b to the power 3 by 2 plus c. This is equal to 2 by 3 into a minus b into x plus a to the power 3 by 2 minus x plus b to the power 3 by 2 plus c. Hence a required answer is 2 by 3 into a minus b into x plus a to the power 3 by 2 minus x plus b to the power 3 by 2 plus c. This is a required answer. So this completes the session by intake care.