Question

Find the indefinite integral. Check your answer by differentiation.[ 2x (x² + 3) ³dx =+C

Answer 1

Answer: ((x^2 + 3)^9)/9 +c

Explanation:

Let, x² + 3 = u

⇒2x dx = du

Now, substituting, we get,

∫u^8 du

= (u^(8+1))/(8+1)

= (u^9)/9

= ((x^2 + 3)^9)/9 +c