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Math Help - Evaluating /Integration

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    Evaluating /Integration

    I've tried this question multiple times and keep getting the wrong answer in the textbook answer key. I was hoping someone could explain how to solve these with 'e'.

    evalute: ∫(e^(x+6))dx , where 3 is the upper limit and -5 is the lower limit.

    Thanks for any help.
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    Re: Evaluating /Integration

    Quote Originally Posted by dgove42 View Post
    I've tried this question multiple times and keep getting the wrong answer in the textbook answer key. I was hoping someone could explain how to solve these with 'e'.

    evalute: ∫(e^(x+6))dx , where 3 is the upper limit and -5 is the lower limit.

    Thanks for any help.
    Let u = x+6 therefore du = dx and you limits are u(3) = 3+6 = 9 \text{  and  } u(-5) = -5+6 = 1


    \int ^3_{-5} e^{x+6} dx = \int^9_1 e^u du which is common integral
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    Re: Evaluating /Integration

    Quote Originally Posted by dgove42 View Post
    I've tried this question multiple times and keep getting the wrong answer in the textbook answer key. I was hoping someone could explain how to solve these with 'e'.

    evalute: ∫(e^(x+6))dx , where 3 is the upper limit and -5 is the lower limit.
    \int_a^b {e^{x + 6} dx}  = \left. {e^{x + 6} } \right|_a^b
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