Question

What is ∫6x2 dx ?...................

Answer 1

Multiplication by constant

Example: What is ∫6x2 dx ?

We can move the 6 outside the integral:

∫6x2 dx = 6∫x2 dx

And now use the Power Rule on x2:

= 6 x33 + C

Simplify:

= 2x3 + C

Answer 2

Answer:

∫6x2 dx = 6∫x2 dx

And now use the Power Rule on x2:

= 6

$= 6 \frac{x {}^{3} }{3} + c$