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

evaluate ∫ (x^6 + 1)/(x^2 +1) dx

evaluate
∫  (x^6 + 1)/(x^2 +1) dx

Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
7 years ago
Ans:
Hello Student,
Please find answer to your question below

I = \int \frac{x^6+1}{x^2+1}dx
I = \int \frac{(x^4-x^2+1)(x^2+1)}{x^2+1}dx
I = \int (x^4-x^2+1)dx
I = \int x^4dx-\int x^2dx+\int dx
I = \frac{x^5}{5}-\int x^2dx+\int dx
I = \frac{x^5}{5}-\frac{x^3}{3}+\int dx
I = \frac{x^5}{5}-\frac{x^3}{3}+x + 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