-int_(-a)^(a)(dx)/((x^(2)+a^(2))^(3/2))=(sqrt(2))/(a^(2))

int_(-a)^(a)(x^(2)+sqrt(a^(2)-x^(2)))dx

int_(-a)^(a)x^(3)sqrt(a^(2)-x^(2))dx=0

int_(1)^(2)(dx)/(sqrt(x^(2)+4x+3))

" "int_(-a)^(a)(x^(2)+sqrt(a^(2)-x^(2)))dx

int_(0)^(a)dx/(sqrt(a^2-x^2))

int_(0)^(a)sqrt(a^(2)-x^(2))dx=

int_(1)^(2) (x)/(sqrt(1+2x^(2)))dx

int(dx)/(sqrt((a^(2)-x^(2))^(3)))

Evaluate : (i) int_(-oo)^(oo) (dx)/(x^(2)+2x+2) , (ii) int_(sqrt(2))^(oo)(dx)/(xsqrt(x^(2)-1)) , (iii) int_(0)^(4)(x^(2))/(1+x)dx (iv) int_(0)^(pi//2) sqrt(costheta)sin^(3)theta

int_(-2)^(2)(x-3)sqrt(4-x^(2))dx