" 25."int x^((13)/(2))(1+x^((5)/(2)))^((1)/(2))dx" । "

int x^((13)/(2))(1+(x^(5))/(2))^((1)/(2))dx=P(1+x^((5)/(2)))^((7)/(2))+Q(1+x^((5)/(2)))^((5)/(2))+R(1+x^((5)/(2)))^((3)/(2))+c then P,Q,R are

If int x^((2)/(3))(1+x^((1)/(2)))^(-(13)/(3))dx=(a)/(b)(1+x^(-(1)/(2)))^(-(10)/(3))+C , then b-a=

intx^(13//2)(1+x^(5//2))^(1//2)dx=

intx^(13//2)(1+x^(5//2))^(1//2)dx=

int x^(5)/(x^(2)+1) dx =

"int_(-1)^(4)(x^(5)+2x^(2)+x)dx

int(x^(5)+2)/(x+1)dx

int(3x^(13)+2x^(11))/((2x^(4)+3x^(2)+1)^(4))dx

int(x^(5))/(x^(2)+1)dx

int(x)/((1+x^(2))^(5))dx