vault backup: 2025-09-05 19:37:11
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@ -34,7 +34,6 @@ This enables us to make use of **substitution** to simplify many integrals.
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- $x = a\tan \theta$
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- $x = a\tan \theta$
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- $dx = a \sec^2\theta d\theta$
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- $dx = a \sec^2\theta d\theta$
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- for $-\frac{\pi}{2} < \theta < \frac{\pi}{2}$
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- for $-\frac{\pi}{2} < \theta < \frac{\pi}{2}$
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# Examples
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# Examples
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> Evaluate the integral $\int\frac{3}{4+x^2}dx$
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> Evaluate the integral $\int\frac{3}{4+x^2}dx$
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1. Move the constant coefficient out of the integral:
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1. Move the constant coefficient out of the integral:
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