The value of `int_-2^3 |1-x^2|dx` is (A) `7/3` (B) `14/3` (C) `28/3` (D) `1/3`

The value of int_(-2)^(3)|1+x^(2)|dx is (A) (7)/(3)(B)(14)/(3) (C) (28)/(3)(D)(50)/(3)

The value of int_-1^1 [x[1+sinpix]+1]dx is (A) 3 (B) 2 (C) 8 (D) 1

The value of int_(-2)^(3)(|x|)/(x)dx is (a) 5 (b) 2 (c) -2 (d) 3

The value of int_(1)^(3)(dx)/(x(1+x^(2))) is

If int (dx)/(x-x^(3))=A log |(x^(2))/(1-x^(2))|+c then A= (A) 2 (B) 1/2 (C) 2/3 (D) 1/3

The value of int_0^1(2x^3-3x^2-x+1)^(1/3)dx is equal to

The value of the integral int_(1)^(3)|(x-1)(x-2)|dx is

Let I_(1)=int_(-2)^(2)(x^(6)+3x^(5)+7x^(4))/(x^(4)+2)dx and I_(2)=int_(-3)^(1)(2(x+1)^(2)+11(x+1)+14)/((x+1)^(4)+2)dt Then the value of I_(1)+I_(2) is (A) 8(B)(200)/(3) (C) (100)/(3) (D) none of these

The tangent to the graph of the function y=f(x) at the point with abscissae x=1, x=2, x=3 make angles pi/6,pi/3 and pi/4 respectively. The value of int_1^3f\'(x)f\'\'(x)dx+int_2^3f\'\'(x)dx is (A) (4-3sqrt(3))/3 (B) (4sqrt(3)-1)/(3sqrt(3)) (C) (4-3sqrt(3))/2 (D) (3sqrt(3)-1)/2