Math Help - URGENT!!! Calculus problem

1. URGENT!!! Calculus problem

Please show all steps and all the work that is required for the problem.
∫ ( dx/ x^3+1) from 0 to 1.

1. Set up the appropriate partial fraction expression.
2. Determine the coefficients.
3. Develop completely the procedure for integration of each integral.
4. Apply the integration limits to obtain the final expression.

2. Originally Posted by Pikachu91
Please show all steps and all the work that is required for the problem.
∫ ( dx/ x^3+1) from 0 to 1.

1. Set up the appropriate partial fraction expression.
2. Determine the coefficients.
3. Develop completely the procedure for integration of each integral.
4. Apply the integration limits to obtain the final expression.

1)∫ ( dx/ x^3+1)
$
\int { \frac{dx}{(x+1)(x^2 + x + 1)} }$

$\frac{1}{(x+1)(x^2 + x + 1)} = \frac{A}{(x+1)} + \frac{Bx+C}{(x^2 + x + 1)}$

Find value of A B and C that's 2 nd Part

3) You are expected to be able to find

$\int{ \frac{A}{(x+1)} + \frac{Bx+C}{(x^2 + x + 1)}}$

4) First put x=1 after integration and then deduce it from the value of integration for x= 1

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Where is the problem , ask it