Question

Evaluation of ${\int }_2^4{x}^3$dx using a 2-equal-segment trapezoidal rule gives value of

• A. 63

Answer 1

The correct option is A 63
Trapezoidal rule:
h = 1
$\int ydx=\frac{h}{2}\left[\right(y_0+y_1)+2(y_1+y_2+.....\left)\right]$
$=\frac{1}{2}\left[\right(2^3+4^3)+2(3^3\left)\right]$
$=\frac{1}{2}[8+64+54]=63$