`int_(0)^(1)ln(sqrt(1+x) + sqrt(1-x)))dx`

int_(0)^(1)(1)/(sqrt(1+x)-sqrt(x))dx

Evaluate : int_(0)^(1)(e^(sqrt(x)))/(sqrt(x))dx

Find int(1)/(sqrt(x)sqrt(1-x))dx

int_0^1 log(sqrt(1+x)+sqrt(1-x))dx= (A) 1/2(log2-pi/2+1) (B) 1/2(log2+pi/2+1) (C) 1/2(log2+pi/2-1) (D) none of these

Evaluate: int_0^1 1/(sqrt(1+x)+sqrt(x))dx

int_(0)^(1)(x sin^(-1)x)/(sqrt(1-x^(2)))dx

int1/(sqrt(x+1)+sqrt(x))dx

(7) int(1)/(sqrt(x+x sqrt(x)))dx

int_0^1log(sqrt(1-x)+sqrt(1+x))dx equals:

Prove that : int_(0)^(1) (log x)/(sqrt(1-x^(2)))dx=-(pi)/(2)log 2