Evaluate : `(i) int_(0)^(4)(dx)/(sqrt(x^(2)+2x+3))` `(ii) (dx)/((1+x+x^(2)))`

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

Evaluate: int_(0)^(a)(x^(4))/(sqrt(a^(2)-x^(2)))dx

I=int_(0)^(2)x sqrt(4-x^(2))dx

Evaluate: (i) int(a^(x))/(sqrt(1-a^(2x)))dx (ii) int(2x)/(sqrt(1-x^(2)-x^(4)))dx

Evaluate: (i) int(e^(x))/(sqrt(4-e^(2x)))dx (ii) int(x^(2))/(sqrt(1-x^(6)))dx

Evaluate : (i) int_(0)^(1//2)(dx)/(sqrt(1-x)) (ii) int_(0)^(1)((1-x)/(1+x))dx

Evaluate: (i) int_0^4 1/(sqrt(x^2+2x+3))dx (ii) int_0^a1/(sqrt(a x-x^2))dx

Evaluate : (i) inte^(x)((1)/(x)-(1)/(x^(2)))dx (ii) inte^(x)((1)/(x^(2))-(2)/(x^(3)))dx (iii) inte^(x){sin^(-1)x+(1)/(sqrt(1-x^(2)))}dx (iv) inte^(x)(tanx+logsecx)dx

Evaluate int_(0)^(a) x^(4)sqrt(a^(2)-x^(2))dx

Evaluate: (i) int(4x+2)sqrt(x^(2)+x+1)dx (ii) int(4x+3)/(sqrt(2x^(2)+3x+1))dx