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    Could someone please help me out with these questions?
    • What is the approximate value of the integral \int^2_0 \sqrt {1+x^3} dx using the trapezium rule with four strips?

    • What is the area in square units given by the curve y=x^2+2 and the line y=3x+2?

    • What is the area in square units given by the curve y = x^2+x?2 and the lines y = 0, x = 0 and x = 2?

    Thanks (:

    If you know the trapezium rule (it's in formula books I think), the first one's easy. Just find values for y when x= (the numbers you'll use), then put them into the formula. Remember, 4 strips means 5 values of x.

    For the second and third, you'll need to find where the curves and lines touch the x and y axis, a sketch should help From there, you'll easily be able to integrate to find the areas.
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Updated: March 20, 2011
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