Integration of f (x) `= sqrt(1+x^(2))` with respect to `x^(2)`, isA. `(2)/(3)((1+x^(2))^(3//2))/(x)+C`B. `(2)/(3)(1+x^(2))^(3//2)+C`C. `(2x)/(3)(1+x^(2))^(3//2)+C`D. none of these

Integration of f (x) `= sqrt(1+x^(2))` with respect to `x^(2)`, isA. `

1.	Integration of f (x) `= sqrt(1+x^(2))` with respect to `x^(2)`, isA. `(2)/(3)((1+x^(2))^(3//2))/(x)+C`B. `(2)/(3)(1+x^(2))^(3//2)+C`C. `(2x)/(3)(1+x^(2))^(3//2)+C`D. none of these
Answer» Correct Answer - b Let `I=intf(x)d (x^(2))=intsqrt(1+x^(2))d(x^(2))` `rArrI=intsqrt(1+x^(2))d(1+x^(2))` " " `[becaused(x^(2))=d(1+x^(2))]` `rArrI=(2)/(3)(1+x^(2))^(3//2)+C`

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Integration of f (x) `= sqrt(1+x^(2))` with respect to `x^(2)`, isA. `(2)/(3)((1+x^(2))^(3//2))/(x)+C`B. `(2)/(3)(1+x^(2))^(3//2)+C`C. `(2x)/(3)(1+x^(2))^(3//2)+C`D. none of these

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