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- Find √(16 - x²)x^4\,dx.
- Find x²(x² + 16)³/2\,dx.
- Find dx(x² - 16)³/2 for x > 4.
- Find dx(8x - x²)³/2 on 0 < x < 8.
- Find x√(x² + 8x + 20)\,dx.
- Evaluate _0^4 √(3)3 dx(x² + 16)^5/2 with a trigonometric substitution, changing the limits to θ.
- Show that _a²a √(x² - a²)x²\,dx has the same value for every a > 0, and find that value.
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Trigonometric substitution: the lesson ›More Chapter 1 worksheets: Integration techniques
- 1.1Integration by parts
- 1.2Trigonometric integrals
- 1.3Trigonometric substitution
- 1.4Integration by partial fractions
- 1.5Choosing an integration technique