Question

X+1/x whole cube integration

Answer 1

Answer:

[x+1/x whole power 4]/4

Explanation:

hey. nothing complex in this sum ....just add plus 1 to power 3 and [1+3] in denominator [from the basic integration formula]. and simplify according to options. thanks.

Answer 2

We will first open the bracket

(x^2+1)^3/x^3

(x^6+1+3x^4+3x^2)/x^3

[ (a+b)^3 = a^3 + b^3 + 3ab (a+b) ]

x^3 + (1/x^3) + 3x + 3/x

Now integrate this eqn

We get

x^4/4 - 2/x^2 + 3x^2/2 + 3lnx

I am srry for doing it directly as i assume u know all the conversions

Hope this helps!