36 (vil) the integral of a binomial differential are constants not equal to zero. the integral x (a+bx"p dx a binomial differential is a differential of the for

36 (vil) The Integral of A Binomial Differential are constants not equal to zero. The integral x (a+bx"P dx A binomial differential is a differential of the form xm (a + bxn)P dx where m, n, peQand a, b is expressible in terms of elementary functions in the following three cases Case 1: (i) If p e N then expand by the formula of Newton Binomial. (i) If p < 0, then we put x = t where k is the common denominator of the fractions m and n. Case 2: If = Integer then we put a + bx = t where a is the denominator of the fraction p. Case 2: If+1 n