Question
Find the area between each curve and the x-axis for the given interval.
y=6x^2+5 from x=0 to x=5
I'm just starting to learn about this and am very confused. Can someone show me how to do this. Thanks. I need help.
y=6x^2+5 from x=0 to x=5
I'm just starting to learn about this and am very confused. Can someone show me how to do this. Thanks. I need help.
Answers
Reiny
Always make a rough sketch of your problem, here you have a parabola opening upwards with centre at (0,5)
so the area
= integral [6x^2+5)dx from 0 to 5
= [2x^3 + 5x] from 0 to 5
= 2(125) + 25 - 0
= 275
so the area
= integral [6x^2+5)dx from 0 to 5
= [2x^3 + 5x] from 0 to 5
= 2(125) + 25 - 0
= 275