" (i) "(1)/(sqrt(25+36x^(2)))

Evaluate: (i) int(1)/(sqrt(9-25x^(2)))dx (ii) int(1)/(sqrt(16x^(2)+25))dx

int(1)/(sqrt(25-x^(2)))dx=

int(dx)/(sqrt(36-x^(2)))

(sin x)/(sqrt(36-cos^(2)x))

Integrate the following functions w.r.to 'x' . (i) 1/(sqrt(1-(4x)^2)) (ii) 1/(sqrt(1-81x^2)) (iii) 1/(1+36x^2)

lim_(x rarr oo)((sqrt(1+25x^(2))+sqrt(9x^(2)-1))/(sqrt(1+25x^(2))-sqrt(9x^(2)-1)))=

underset(x to oo)lim (sqrt(1+25x^(2))+sqrt(9x^(2)-1))/(sqrt(1+25x^(2))-sqrt(9x^(2)-1))

(8)/(sqrt(1 - (4 x)^(2))) + (27)/(sqrt(1 - 9 x^(2))) - (15)/(1+ 25 x^(2))

Integrate (8)/(sqrt(1-(4x)^(2)))+(27)/(sqrt(1-9x^(2)))-(15)/(1+25x^(2)) with respect to x .