( _ -3 ³ ⁻¹ x d x= )

Step-by-step solution

(C) ( _ -3 ³ ⁻¹ x d x= _ -3 ³ ⁻¹ x 1 d x ) ( = [ ⁻¹ x x ]_ -3 ³- _ -3 ³ x (- 1 1+x 2 ) d x ) ( =3 ⁻¹ 3-(-3) ⁻¹(-3)+ _ -3 ³ x 1+x² d x ) ( =3 ⁻¹ 3+3 ( - ⁻¹ 3 )+ 1 2 [ [1+x² ] ]_ -3 ³ ) ( =3 ⁻¹ 3+3 -3 ⁻¹ 3+ 1 2 [ 10- 10] ) ( =3 )