`int_(10)^42sqrt((x-10)(42-x)))dx`

Evaluate: int1/(4sqrt((x-10)^3(x+2)^5))dx

int_(0)^(2) sqrt(2-x)dx .

Evaluate: int_(-a)^a\ sqrt((a-x)/(a+x))\ dx\ \

(i) int(1)/(5x+1)dx " "(ii)int(1)/(sqrt(x+1+)sqrt(x))dx

int(x)/(sqrt(x-a))dx

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

The value of int_5^(10)(sqrt(x+sqrt(20 x-100))+sqrt(x-sqrt(20 x-100)))dx"i s" (1) 10sqrt(5) (2) 5sqrt(5) (3) 10sqrt(2) (4) 8sqrt(2)

The value of int_5^(10)(sqrt(x+sqrt(20 x-100))+sqrt(x-sqrt(20 x-100)))dx is (1) 10sqrt(5) (2) 5sqrt(5) (3) 10sqrt(2) (4) 8sqrt(2)

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

Evaluate: int_(1)^(2) (sqrt(x))/(sqrt(3-x) + sqrt(x)) dx .