WebSep 7, 2024 · These integrals are called trigonometric integrals. They are an important part of the integration technique called trigonometric substitution, which is featured in Trigonometric Substitution. The following is a list of integrals (antiderivative functions) of trigonometric functions. For antiderivatives involving both exponential and trigonometric functions, see List of integrals of exponential functions. For a complete list of antiderivative functions, see Lists of integrals. For the special antiderivatives involving … See more $${\displaystyle \int \sin ax\,dx=-{\frac {1}{a}}\cos ax+C}$$ $${\displaystyle \int \sin ^{2}{ax}\,dx={\frac {x}{2}}-{\frac {1}{4a}}\sin 2ax+C={\frac {x}{2}}-{\frac {1}{2a}}\sin ax\cos ax+C}$$ See more $${\displaystyle \int \cos ax\,dx={\frac {1}{a}}\sin ax+C}$$ $${\displaystyle \int \cos ^{2}{ax}\,dx={\frac {x}{2}}+{\frac {1}{4a}}\sin 2ax+C={\frac {x}{2}}+{\frac {1}{2a}}\sin ax\cos ax+C}$$ See more $${\displaystyle \int \csc ^{2}{x}\,dx=-\cot {x}+C}$$ See more An integral that is a rational function of the sine and cosine can be evaluated using Bioche's rules. $${\displaystyle \int {\frac {dx}{\cos ax\pm \sin ax}}={\frac {1}{a{\sqrt {2}}}}\ln \left \tan \left({\frac {ax}{2}}\pm {\frac {\pi }{8}}\right)\right +C}$$ See more $${\displaystyle \int \tan ax\,dx=-{\frac {1}{a}}\ln \cos ax +C={\frac {1}{a}}\ln \sec ax +C}$$ See more See Integral of the secant function. $${\displaystyle \int \sec ^{2}{x}\,dx=\tan {x}+C}$$ See more $${\displaystyle \int \cot ax\,dx={\frac {1}{a}}\ln \sin ax +C}$$ $${\displaystyle \int \cot ^{2}{x}\,dx=-\cot {x}-x+C}$$ See more

List of integrals of inverse trigonometric functions - Wikipedia

WebBelow are the list of few formulas for the integration of trigonometric functions: ∫sin x dx = -cos x + C. ∫cos x dx = sin x + C. ∫tan x dx = ln sec x + C. ∫sec x dx = ln tan x + sec x … WebNov 11, 2024 · The formula list is divided into below sections. a. Basic integration formulas. b.Integration formulas for Trigonometric Functions. c. Integration formulas Related to Inverse Trigonometric Functions. d. … rai english name

Trigonometry Formulas list - All Important Formulas

WebJan 31, 2013 · List of integrals of trigonometric functions. From Wikipedia, the free encyclopedia The following is a list ofintegrals(antiderivativefunctions)of trigonometric … WebDec 21, 2024 · A trigonometric function of a high power can be systematically reduced to trigonometric functions of lower powers until all antiderivatives can be computed. The next section introduces an integration technique known as Trigonometric Substitution, a clever combination of Substitution and the Pythagorean Theorem. WebIntegration using trigonometric identities Get 3 of 4 questions to level up! Quiz 1. Level up on the above skills and collect up to 480 Mastery points Start quiz. Trigonometric substitution. ... Level up on all the skills in this unit and collect up to 1100 Mastery points! Start Unit test. Our mission is to provide a free, world-class education ... rai fahpratan home and garden