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# MAT integration question watch

1. https://undergroundmathematics.org/c...r8396/solution

Solution to part (iii)

How does the integral of

x^4n−2−2x^2n−1+1 =

1/4n−1−1/n+1

the power of x should increase by 1 and it should be divded by the new power so wheres the x term gone
2. (Original post by Carman3)
https://undergroundmathematics.org/c...r8396/solution

Solution to part (iii)

How does the integral of

x^4n−2−2x^2n−1+1 =

1/4n−1−1/n+1

the power of x should increase by 1 and it should be divded by the new power so wheres the x term gone
It's a definite integral with limits, 0 and 1.
3. (Original post by Carman3)
https://undergroundmathematics.org/c...r8396/solution

Solution to part (iii)

How does the integral of

x^4n−2−2x^2n−1+1 =

1/4n−1−1/n+1

the power of x should increase by 1 and it should be divded by the new power so wheres the x term gone
If I increase the 4n-2 by 1 I get 4n-1. Because the integration is between limits of zero and 1, when the limit is applied, the x^{whatever power} is just 1 leaving the denominator on its own.
4. (Original post by B_9710)
It's a definite integral with limits, 0 and 1.
(Original post by nerak99)
If I increase the 4n-2 by 1 I get 4n-1. Because the integration is between limits of zero and 1, when the limit is applied, the x^{whatever power} is just 1 leaving the denominator on its own.
Oh right They just skipped that step and went to straight subbing in limits
5. (Original post by Carman3)
Oh right They just skipped that step and went to straight subbing in limits
Skipping steps is always a hazard of worked examples.

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