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Math Help - Calculating Areas using Integration

  1. #1
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    Calculating Areas using Integration

    A straight line y=4x+1 has area under it between x=1 and x=3,

    Find the area using

    a) the formula for the area of trapezium
    b) using integration

    Please help
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  2. #2
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    Quote Originally Posted by creatively12 View Post
    A straight line y=4x+1 has area under it between x=1 and x=3,

    Find the area using

    a) the formula for the area of trapezium

    b_1 = y(1) , b_2 = y(3) , h = 3-1 = 2

    A = \frac{h}{2}(b_1+b_2)

    b) using integration

    A = \int_1^3 4x+1 \, dx
    ... do it.
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