The correct option is C ln x 2/7ln (1 + x^7) + cI = ∫dx/x ∫2x^6/1 + x^7dx I = ln x 2/7ln (1 + x^7) + c ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Theorems on Integration

∫1-x7/x1+x7 d...

Question

$\int \frac{1 - x^{7}}{x (1 + x^{7})} d x$ is

ln x + \frac{2}{7} ln (1 + x^{7}) + c

No worries! We‘ve got your back. Try BYJU‘S free classes today!

ln x - \frac{2}{7} ln (1 - x^{7}) + c

No worries! We‘ve got your back. Try BYJU‘S free classes today!

ln x - \frac{2}{7} ln (1 + x^{7}) + c

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

ln x + \frac{2}{7} ln (1 - x^{7}) + c

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $ln x - \frac{2}{7} ln (1 + x^{7}) + c$
$I = \int \frac{d x}{x} - \int \frac{2 x^{6}}{1 + x^{7}} d x$
$I = ln x - \frac{2}{7} ln (1 + x^{7}) + c$

Suggest Corrections

Similar questions

\int \frac{1 - x^{7}}{x (1 + x^{7})} d x

\int \frac{1 - x^{7}}{x (1 + x^{7})} d x

\int \frac{1 - x^{7}}{x (1 + x^{7})} d x

k

\int \frac{x^{5 / 2}}{\sqrt{1 + x^{7}}} d x = \frac{1}{k} l o g (x^{k} + \sqrt{1 + x^{7}}) + C

\int \frac{x^{5 / 2}}{\sqrt{1 + x^{7}}} d x

\frac{2}{7} log ∣ ∣ x^{7 / 2} + \sqrt{1 + x^{7}} ∣ ∣ + C

\int \frac{d x}{\sqrt{1 + x^{2}}} = log ∣ ∣ x + \sqrt{1 + x^{2}} ∣ ∣ + C

Join BYJU'S Learning Program