Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

integrate 1/x(x^7+1)??????????????????????????????????????????????????????????????????????????????????????

integrate 1/x(x^7+1)??????????????????????????????????????????????????????????????????????????????????????

Grade:12

1 Answers

jagdish singh singh
173 Points
5 years ago
$\hspace{-0.75 cm}Let $I = \int\frac{1}{x(x^7+1)}dx = \int\frac{1}{x^{8}(1+x^{-7})}dx,$\\\\\\ Now put $1+x^{-7} = t\;,$ Then $-7x^{8}dx = dt\Rightarrow x^{-8}dx = -\frac{1}{7}dt$\\\\\\ So $I = -\frac{1}{7}\int\frac{1}{t}dt = -\frac{1}{7}\ln |t|+\mathcal{C} = -\frac{1}{7}\ln\left|1+x^{-7}\right|+\mathcal{C}$\\\\\\

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free