How to Change Limits of Definite Integrals Video

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To evaluate the definite integral ∫ x*e(x2 - 4) dx from -1 to 5, you use the u-substitution u = x2 - 4. When you change the integral, you should get 1/2 ∫ eu du from _____ to _____.

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1. To evaluate the definite integral ∫ sin(x + π/6) dx from π/6 to π/3, you substitute u = x + π/6. After the substitution, what are the new limits of integration?

2. Use the substitution u = ln x to evaluate the definite integral ∫ (ln x) / x dx from 1 to e.

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