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Table of Integrals

# Table of Integrals - cos 2 θ = 1 2 1 tan 2 θ = sec 2 θ 3...

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Table of Integrals 1. u r du = u r +1 r + 1 + C, r = - 1 2. 1 u du = ln | u | + C 3. e u du = e u + C 4. sin u du = - cos u + C 5. cos u du = sin u + C 6. tan u du = ln | sec u | + C 7. cot u du = ln | sin u | + C 8. sec u du = ln | sec u + tan u | + C 9. csc u du = ln | csc u - cot u | + C 10. sec u tan u du = sec u + C 11. csc u cot u du = - csc u + C 12. sec 2 u du = tan u + C 13. csc 2 u du = - cot u + C 14. 1 a 2 - u 2 du = sin - 1 u a + C 15. 1 a 2 + x 2 du = 1 a tan - 1 u a + C 16. 1 u u 2 - a 2 du = 1 a sec - 1 | u | a + C 17. sinh u du = cosh u + C 18. cosh u du = sinh u + C 19. sin - 1 u du = u sin - 1 u + 1 - u 2 + C 20. tan - 1 u du = u tan - 1 u - 1 2 ln(1 + u 2 ) + C 21. sec - 1 u du = u sec - 1 u - ln | u + u 2 - 1 | + C Basic Trigonometric Identities 1. sin 2 θ
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Unformatted text preview: + cos 2 θ = 1 2. 1 + tan 2 θ = sec 2 θ 3. sin 2 θ = 2 sin θ cos θ 4. cos 2 θ = cos 2 θ-sin 2 θ = 2 cos 2 θ-1 = 1-2 sin 2 θ 5. cos 2 θ = 1 + cos 2 θ 2 6. sin 2 θ = 1-cos 2 θ 2 7. sin ( α ² β ) = sin α cos β ² cos α sin β 8. cos ( α ² β ) = cos α cos β ∓ sin α sin β 1...
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