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Math Help - integration by substitution

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    integration by substitution

    Using an appropriate substitution, find .

    Can anyone help me with this problem? Cheers x
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by Haris View Post
    Using an appropriate substitution, find .

    Can anyone help me with this problem? Cheers x
    Make the substitution z=5t-5\implies t=\tfrac{1}{5}(z+5). Thus, \,dt=\tfrac{1}{5}\,dz.

    The integral now becomes \tfrac{1}{25}\int-(z+5)z^5\,dz=-\tfrac{1}{25}\int(z^6+5z^5)\,dz

    Can you take it from here?

    --Chris
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    I got -1/25[(1/7)z^7+(5/6)z^6+C] but it must be wrong because i entered the answer into my online assessment and it says its wrong?
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  4. #4
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    Quote Originally Posted by Haris View Post
    I got -1/25[(1/7)z^7+(5/6)z^6+C] but it must be wrong because i entered the answer into my online assessment and it says its wrong?
    You have to replace back what z is ......!
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