Trapezium rule

Which among the following is true?

• Trapezium rule will give an estimate or approximate area under a curve.

• Trapezium rule is used to get an exact area under a curve

Which among the following is true?

• The trapezium rule works by splitting the area under a curve into a number of trapeziums of unequal width.

• The trapezium rule works by splitting the area under a curve into a number of trapeziums of equal width.

Which among the following is the trapezium rule?

• $\int_a^bf\left(x\right)dx=\frac{1}{2}h\left[y_o+2\left\{y_1+y_2+..y_n-1\right\}+y_n\right]$

• $\int_a^bf\left(x\right)dx=\frac{1}{4}h\left[y_o+\left\{y_1+y_2+..y_n-1\right\}+y_n\right]$

In the trapezium rule, h =?

 $\int_a^bf\left(x\right)dx=\frac{1}{2}h\left[y_o+2\left\{y_1+y_2+..y_n-1\right\}+y_n\right]$  

•  $h=\frac{upper\ \lim it+lower\ \lim it}{no:\ of\ intervals}$  

•  $h=\frac{upper\ \lim it\ -\ lower\ \lim it}{no:of\ intervals}$  

•  $h=\frac{lower\ \lim it\ -\ upper\ \lim it}{2}$