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PRE calculus

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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.

  • PRE calculus -

    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

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