i^(2)int_(1)^(3x)dx

I_(1)=int_(1)^(2)sqrt(sin(3x-x^(2)-2))dx and I_(2)=int_(1)^(3)sqrt(sin((4x-x^(2)-3)/(4)))dx then the value of 2I_(1)-I_(2) is

" (i) "int_(0)^(3)(dx)/((x+2)sqrt(1+x))

(i) int_(0)^(pi//2) x cos x dx (i) int_(1)^(3) x. log x dx

(i) int_(0)^(pi//2) x cos x dx (i) int_(1)^(3) x. log x dx

If I_(1) = int_(1)^(2)(dx)/(sqrt(1+x^(2))) and I_(2)= int_(1)^(2) (dx)/(x) then

Evaluate the following integrals as limit of sums : (i) int_(0)^(5)(x+1)dx (ii) int_(1)^(3)(2x+3)dx

I=int(x^(2))/((x+1)^(3))dx

Let f : R to R be continuous function such that f (x) + f (x+1) = 2, for all x in R. If I _(1) int_(0) ^(8) f (x) dx and I _(2) = int _(-1) ^(3) f (x) dx, then the value of I _(2) +2 I _(2) is equal to "________"

(i) int_1^3 (3x)/(9x^2-1) dx (ii) int_2^3 x/(x^2+1) dx

Let I=int_(1)^(3)|(x-1)(x-2)(x-3)|dx The value of I^(-1) .