how to use the trapezium rule to integrate x^cosx from x=0.1 to x=0.7

Question

using numerical integration do we use radians for values of cosx?

Answer 1

?????????? trapazoid rule ??????????????

never herd av NE such krat invent

Answer 2

From the trapezium rule

A = d/2{y0 + 2(y1 +y2 + y3+...............+yn-1) + yn}

given int x^cosx dx [0.1,0.7]

take 6 strips.............  d = 0.1

calculating the values of y for x = 0.1,0.2.........,0.7

int x^cosx = 0.1/2{0.1 + 2(0.2+0.3+0.4+0.50001+0.60002) + 0.70002}

=0.240004

therefore

Int x^cosx[0.1,0.7] dx = 0.240004