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I am trying to solve integration problems. I've done many but found the answer of the one given below unusual.

Question: Integral of (1/x^n) dx

Solution that I get: x^(-n+1)/-n+1 + c

Solution in the book: x^(1-n)/(1-n) + c

Would be interesting to know why my answer is different from the solution in the book.

Thanks

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I am trying to solve integration problems. I've done many but found the answer of the one given below unusual.

Question: Integral of (1/x^n) dx

Solution that I get: x^(-n+1)/-n+1 + c

Solution in the book: x^(1-n)/(1-n) + c

Would be interesting to know why my answer is different from the solution in the book.

Thanks

Solved....

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your answer: x^(-n+1)/-n+1 + c

is the same answer.

x^( (-n)+1/ (-n)+1 ) + c

equals

x^( +1-n/ +1-n ) + c

for example

(-8)+1 = -7

1 + (-8) = -7 //you can get rid of the "+" sign and just have 1 - 8 = -7

mathematicians do this because it looks nicer and is easier to read

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