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Math Help - kindly explain me solution of integration

  1. #1
    Member moonnightingale's Avatar
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    kindly explain me solution of integration

    1. what is the integral of exp(-2at)

    2. What is integral of (Cost+5Cos2t)^2 over the range -t/2 to t/2 and t=2Pi. Kindly explain me in detail
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  2. #2
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    Quote Originally Posted by moonnightingale View Post
    1. what is the integral of exp(-2at)

    2. What is integral of (Cost+5Cos2t)^2 over the range -t/2 to t/2 and t=2Pi. Kindly explain me in detail
    1. We are integrating with respect to which variable?

    2. Your range doesn't make sense...
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  3. #3
    Member moonnightingale's Avatar
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    I want to integrate with respect to dt
    by range i mean range is for integration sign (above and below) i dont know how to write integration sign here
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    Quote Originally Posted by moonnightingale View Post
    1. what is the integral of exp(-2at)

    2. What is integral of (Cost+5Cos2t)^2 over the range -t/2 to t/2 and t=2Pi. Kindly explain me in detail
    1. \int{e^{-2at}\,dt} = -\frac{1}{2a}e^{-2at} + C


    2. I know what you mean by range, I just don't understand the limits you've given me.

    Is it \int_{-\frac{t}{2}}^{\frac{t}{2}}{(\cos{t} + 5\cos{2t})^2\,dt}?
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  5. #5
    Member moonnightingale's Avatar
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    Exactly. Same thing. Kindly explain

    Kindly explain it
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