9 FURTHER APPLICATIONS OF INTEGRATION
9 FURTHER APPLICATIONS OF INTEGRATION
9 FURTHER APPLICATIONS OF INTEGRATION
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How to Define π<br />
3. Using integration by parts with u = √ 1 − x 2 , show that<br />
∫ √ ∫<br />
∫<br />
1 − x 2 dx = x√<br />
1 − x 2 dx √<br />
+ √ − 1 − x 2 dx<br />
1 − x 2<br />
4. Show that the formula of Problem 2 is true.<br />
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