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Math Help - Integration check

  1. #1
    Junior Member bebrave's Avatar
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    Integration check

    i solved maybe i have wrong.Can you check my solution way?
    Thanks and best regards.(i dont know how can use latex so ...)
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  2. #2
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    mr fantastic's Avatar
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    Quote Originally Posted by bebrave View Post
    i solved maybe i have wrong.Can you check my solution way?
    Thanks and best regards.(i dont know how can use latex so ...)
    It seems OK except for one small mistake. I think it should be \frac{9}{2} \left[ t {\color{red}-} \frac{\sin (2t)}{2} \right], NOT \frac{9}{2} \left[ t {\color{red}+} \frac{\sin (2t)}{2} \right]. You will need to fix the other mistakes that follow from this. The final numerical answer is unchanged.
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  3. #3
    Junior Member bebrave's Avatar
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    Thank you so much
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  4. #4
    MHF Contributor matheagle's Avatar
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    Since this is a DEFINITE Integral you should change bounds as you change the variables. There's no need to draw that triangle and figure out the \sin (2t). The t-bounds are trivial, use them instead and it will save you a lot of work and time.
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