Transcription of Integration Formulas - mathportal.org
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Integration Formulas - mathportal.org
Integration Formulas 1. Common Integrals Indefinite Integral Method of substitution ( ( )) ( )( )f g x g x dxf u du = Integration by parts ( ) ( )( ) ( )( ) ( )f x g x dxf x g xg x f x dx = Integrals of Rational and Irrational Functions 11nnxx dxCn+=++ 1lndxx Cx=+ c dx cx C=+ 22xxdxC=+ 323xx dxC=+ 211dxCxx= + 23x xxdxC=+ 21arctan1dxx Cx=++ 21arcsin1dxx Cx=+ Integrals of Trigonometric Functions sincosx dxx C= + cossinx dxx C=+ tanln secx dxx C=+ secln tansecx dxxx C=++ ()21sinsin cos2x dxxxxC= + ()21cossin cos2x dxxxxC=++ 2tantanx dxx x C= + 2sectanx dxx C=+ Integrals of Exponential and Logarithmic Functions lnlnx dx x x x C= + ()112lnln11nnnxxxx dxxCnn++= +++ xxe dx eC=+ lnxxbb dxCb=+ sinhcoshx dxx C=+ coshsinhx dxx C=+ 2.
Integration Formulas 1. Common Integrals Indefinite Integral Method of substitution ∫ ∫f g x g x dx f u du( ( )) ( ) ( )′ = Integration by parts ∫ ∫f x g x dx f x g x g x f x dx( ) ( ) ( ) ( ) ( ) ( )′ ′= − Integrals of Rational and Irrational Functions 1 1 n x dx Cn x n + …
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