" 16."int x^(-15)dx=(x^(-15+1))/(-15+1)+c=(x^(-14))/(-14)+c=-(1)/(14)x^(-14)+c

int(x^(11)+x^(12)+x^(13))/(x^(14)+x^(15))dx=

((-16)/35)-:((-15)/14)

14. int e^(-1/x) . 1/x^2 dx

Value of integral int_(0)^( pi/2)sin^(3)x(1-cos x)^(11)dx(i)-(15)/(13)(ii)-(15)/(14)(iii)-(15)/(272)(iv)-(15)/(182)

The inverse of the matrix A[(1,1,1),(6,7,8),(6,7,-8)] using adjoint method is ...a) -(1)/(16)[(-112,1,15),(96,-14,-2),(0,-1,1)] b) -(1)/(16)[(-112,15,1),(96,-2,-14),(0,-1,1)] c) -(1)/(16)[(-112,15,1),(96,-14,-2),(0,-1,1)] d) -(1)/(16)[(112,15,1),(96,-14,-2),(-1,0,1)]

The sum of the last eight coefficiennts in the expansion of (1+x)^(15) is (1) 2^(16) (2) 2^(15) (3) 2^(14) (4) 2^(8)

Value of -^(15)C_(1) + 2..^(15)C_(2)- 3.^(15)C_(3) + ...... - 15.^(15)C_(15)+ ^(15)C_(1)+ ^(15)C_(2)+ ....^(15)C_(14) is