# How do you use the trapezoidal rule with n=4 to approximate the area between the curve # (5t + 6)# from 3 to 6?

##### 1 Answer

Jan 3, 2017

#### Answer:

#### Explanation:

The required area is a trapezium with sides

The values of

Using the trapezoidal rule:

# int_a^bydx ~~ h/2{(y_0+y_n)+2(y_1+y_2+...+y_(n-1))}#

We have:

# int_(3)^(6) 5t+6 \ dt ~~ 0.75/2 { 21 + 36 + 2(24.75 + 28.5 + 32.25)} #

# " " = 0.375 { 57 + 2( 85.5 )}#

# " " = 0.375 { 57 + 171 }#

# " " = 0.375 { 228 }#

# " " = 85.5 " "# , as predicted