- #1

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- Homework Statement
- Find the integration of .... (for complete question see "attempt at solution")

- Relevant Equations
- Integration

Find integration of:

[itex] \frac {1}{(x+1)(x^2 + x -1)^\frac{1}{2}} [/itex]

What I did:

1. Use completing square method for the term inside the square root

2. Use trigonometry substitution (I use secan)

3. After simplifying, use another trigonometry substitution (I use weierstrass substitution)

4. Use another trigonometry substitution (I use tan)My working was so long and taking too much time. Is there any other way to solve this integration?

Thanks

[itex] \frac {1}{(x+1)(x^2 + x -1)^\frac{1}{2}} [/itex]

What I did:

1. Use completing square method for the term inside the square root

2. Use trigonometry substitution (I use secan)

3. After simplifying, use another trigonometry substitution (I use weierstrass substitution)

4. Use another trigonometry substitution (I use tan)My working was so long and taking too much time. Is there any other way to solve this integration?

Thanks