Inv Trig Fcns - Integrals

# Inv Trig Fcns - Integrals - Examples on Integrals Involving...

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Examples on Integrals Involving Inverse Trigonometric Functions

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Examples I
1. - dx x x . 1 8 3

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c x dx x x dx x x + = - = - 4 4 1 8 3 4 1 8 3 arcsin . 1 4 . 1
2. - 1 8 4 3 x x dx x

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c x arc x x dx x x x dx x + = - = - 4 4 1 8 4 3 4 1 8 4 3 sec 1 4 1
2* - 1 8 x x dx

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c x arc x x dx x x x dx + = - = - 4 4 1 8 4 3 4 1 8 sec 1 4 1
3. + dx x x . 1 8 3

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c x dx x x dx x x + = + = + arctan . 1 4 . 1 4 1 8 3 4 1 8 3
Examples II

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1. - dx x x . 4 9 8 3
c x dx x x dx x x dx x x + = - = - = - ) arcsin( . ) ( 1 . ) ( 1 . 4 9 4 3 2 8 1 2 4 3 2 3 3 8 3 1 8 3 2 4 3 2 3 3 1 8 3

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- 4 9 8 x x dx
c x arc x x dx x x x dx x x x dx x x dx + = - = - = - = - ) sec( 1 ) ( 4 1 ) ( 1 ) ( 4 9 4 2 3 8 1 2 4 2 3 4 2 3 3 2 3 2 1 4 1 2 4 2 3 4 3 2 1 2 4 2 3 2 1 8

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3. + dx x x . 3 4 8 3
x dx x x dx x x dx x x + = + = + = + ) arctan( . ) ( 1

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Inv Trig Fcns - Integrals - Examples on Integrals Involving...

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