integration_formulas

integration_formulas - sin x sin y sin x y = sin x cos y...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Integration Formulas B1. Z u n du = u n + 1 n + 1 + C if n n 6 = - 1 B2. Z du u = ln | u | + C B3. Z e u du = e u + C B4. Z cos udu = sin u + C B5. Z sin udu = - cos u + C B6. Z sec 2 udu = tan u + C B7. Z csc 2 udu = - cot u + C B8. Z sec u tan udu = sec u + C B9. Z csc u cot udu = - csc u + C B10. Z tan udu = - ln | cos u | + C = ln | sec u | + C B11. Z cot udu = ln | sin u | + C B12. Z sec udu = ln | sec u + tan u | + C B13. Z csc udu = - ln | csc u + cot u | + C = ln | csc u - cot u | + C B14. Z du a 2 - u 2 = Arcsin u a + C B15. Z du a 2 + u 2 = 1 a Arctan u a + C 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
B16. Z du u u 2 - a 2 = 1 a Arcsec u a + C Trigonometric Identities T1. cos( - x ) = cos x (even) sin( - x ) = - sin x (odd) T2. tan x = sin x cos x cot x = cos x sin x cot x = 1 tan x T3. sec x = 1 cos x csc x = 1 sin x T4. cos 2 x + sin 2 x = 1 1 + tan 2 x = sec 2 x 1 + cot 2 x = csc 2 x T5. cos( x + y ) = cos x cos y -
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: sin x sin y sin( x + y ) = sin x cos y + cos x sin y T6. sin 2x = 2 sin x cos x cos 2x = cos 2 x-sin 2 x = 1-2 sin 2 x = 2 cos 2 x-1 T7. cos 2 x = 1 + cos 2x 2 sin 2 x = 1-cos 2x 2 T8. f ( x ) = f C ± π 2-x ² f ± π 2-θ ² = f C ( θ ) where f is any one of the six basic trig functions and f C is the co-function of f . 2...
View Full Document

{[ snackBarMessage ]}

Page1 / 2

integration_formulas - sin x sin y sin x y = sin x cos y...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online