To determine

To find:

The integral of ∫243xdx.

Answer

0.301.

Given: ∫243xdx

Formulae used:

∫1xdx=logx∫xadx=xa+1a+1

loga−logb=logab

Explanation

Consider y=∫243xdx=3∫241xdx.

Use the formula ∫1xdx=logx

So,

y=[logx]24=log4−log2=log42=log2

=0.301

Conclusion:

Hence, the solution of the given function is 0.301.