Anonymous
Anonymous asked in Science & MathematicsMathematics · 9 years ago

Evaluate the DEFINITE INTEGRATION of ......?

∫ |x.cos(πx)| dx.........from -1 to ½

Thanks for the help

BEST ANSWER WILL SURELY BE REWARDED

Update:

I need the details....PLEASE

Update 2:

The gory ones too

2 Answers

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  • Anonymous
    9 years ago
    Favorite Answer

    From -1 to -1/2 and 0 to 1/2 the function is positive.

    From -1/2 to 0 the function is negative

    So divide the integral into three parts, respectively.

    And you will get the answer as 3/2π - 1/π²

    Hope I helped

  • fizixx
    Lv 7
    9 years ago

    I'm assuming you don't need the gory details. I'm getting ( 3π - 2 ) / (2π²)

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