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" 8."(1)/(sqrt(25-x^(2)))...

" 8."(1)/(sqrt(25-x^(2)))

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

(1)/(sqrt(x^(2)-8x-20))

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

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

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

int(1)/(sqrt((8x-x^(2))))

If g(x) = -sqrt(25-x^(2)) the lim_(x rarr 1) (g(x)-g(1))/(x-1) =