# Math Help - Calculating Areas using Integration

1. ## Calculating Areas using Integration

A straight line y=4x+1 has area under it between x=1 and x=3,

Find the area using

a) the formula for the area of trapezium
b) using integration

2. Originally Posted by creatively12
A straight line y=4x+1 has area under it between x=1 and x=3,

Find the area using

a) the formula for the area of trapezium

$b_1 = y(1)$ , $b_2 = y(3)$ , $h = 3-1 = 2$

$A = \frac{h}{2}(b_1+b_2)$

b) using integration

$A = \int_1^3 4x+1 \, dx$
... do it.