Question

$\int_{}^{}\frac{x^{9/2}}{\sqrt{1 + x^{11}}}$dx is –

• A. $\frac{2}{11}$log$\left( x^{7/2} + \sqrt{x^{7} + 1} \right)$+ c
• B. $\frac{1}{2}$log $\frac{x^{11} + 1}{x^{11} - 1}$ + c
• C. 2$\sqrt{1 + X^{11}}$ + c
• D. None of these

Answer 1

Answer: (D)

None of these

Answer 2

Let x^11/2 = t Ž $\frac { 11 } { 2 }$x^9/2 dx = dt

Ž I = $\frac { 2 } { 11 }$ $\int \frac { \mathrm { dt } } { \sqrt { 1 + \mathrm { t } ^ { 2 } } }$ = $\frac { 2 } { 11 }$ log + c

= $\frac { 2 } { 11 }$ log $\left( x ^ { 11 / 2 } + \sqrt { 1 + x ^ { 11 } } \right)$ + c