MAIN METHODS OF INTEGRATION
Integration by substitution (or change of variable)
Steps for Integrating by Substitution—Indefinite Integrals: 1. Choose a substitution u = g(x), such as the inner part of a composite function. 2. Compute 3. Re-write the integral in terms of u and du. 4. Find the resulting integral in terms of u. 5. Substitute g(x) back in for u, yielding a function in terms of x only. 6. Check by differentiating.
If f(x) is continous function, F(x) - its antiderivative and φ(х) - differentiable function, then In the particular case Example 8. To find Let Substituting this change of variable the integral becomes Now by expressing this result in terms of
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