jee-main 2015 Q69

jee-main · India · 10apr Integration by Substitution Substitution to Compute an Indefinite Integral with Initial Condition

The integral $\int \frac{dx}{x^2(x^4+1)^{3/4}}$ equals:
(1) $-\left(1 + \frac{1}{x^4}\right)^{1/4} + C$
(2) $-\left(\frac{x^4+1}{x^4}\right)^{1/4} + C$
(3) $\left(\frac{x^4+1}{x^4}\right)^{1/4} + C$
(4) $\left(1 + \frac{1}{x^4}\right)^{1/4} + C$

The integral $\int \frac{dx}{x^2(x^4+1)^{3/4}}$ equals:\\
(1) $-\left(1 + \frac{1}{x^4}\right)^{1/4} + C$\\
(2) $-\left(\frac{x^4+1}{x^4}\right)^{1/4} + C$\\
(3) $\left(\frac{x^4+1}{x^4}\right)^{1/4} + C$\\
(4) $\left(1 + \frac{1}{x^4}\right)^{1/4} + C$

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