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# Class Note for MATH 250A with Professor Bergevin at UA 2

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Date Created: 02/06/15

MATH 250a Fall Semester 2007 Section 2 J M Cushing Thursday September 27 httprnathariz0naeducushing250ahtrnl 5 Use of Table of Integrals Refer to inside back cover of text I Basic Functions 11 Products of excos x and sinx 111 Products of Polynomial px with In x ex cos x sinx IV Integer Powers of sinx and cosx l 4 1 J s1n4xdx2 Zs1n41xcosxT Sin4 2 x dx 5 Use of Table of Integrals Refer to inside back cover of text I Basic Functions 11 Products of excos x and sinx 111 Products of Polynomial px with In x ex cos x sinx IV Integer Powers of sinx and cosx l 3 J s1n4 xdx s1n3 xcosx J s1n2 xdx 4 4 5 Use of Table of Integrals Refer to inside back cover of text I Basic Functions 11 Products of ex cos x and sinx 111 Products of Polynomial px with In x ex cos x sinx IV Integer Powers of sinx and cosx l 3 J s1n4 xdx s1n3 xcosx J s1n2 xdx 4 4 l l J s1n2 xdx s1nxcosx J s1n0 xdx 2 2 5 Use of Table of Integrals Refer to inside back cover of text I Basic Functions 11 Products of ex cos x and sinx 111 Products of Polynomial px with In x ex cos x sinx IV Integer Powers of sinx and cosx l 3 J s1n4xdx2 s1n3xcosx J s1n2xdx 4 4 2 1 1 0 J s1n xdx s1nxcosx J s1n xdx 2 2 l l sinxcosx x 2 2 5 Use of Table of Integrals Refer to inside back cover of text I Basic Functions 11 Products of ex cos x and sinx 111 Products of Polynomial px with In x ex cos x sinx IV Integer Powers of sinx and cosx 4 1 3 3 1 1 J s1n xdx s1n xcosx s1nxcosx x 4 4 2 2 J s1n xdx s1nxcosx J s1n xdx 2 2 l l sinxcosx x 2 2 5 Use of Table of Integrals Refer to inside back cover of text I Basic Functions 11 Products of excos x and sinx 111 Products of Polynomial px with In x ex cos x sinx IV Integer Powers of sinx and cosx 4 1 3 3 3 J Sll l XdXZ ZSII I XCOSX SIHXCOSX XC 5 Use of Table of Integrals Refer to inside back cover of text I Basic Functions 11 Products of ex cos x and sinx 111 Products of Polynomial px with In x ex cos x sinx IV Integer Powers of sinx and cosx V Quadratic in the Denominator These are basic to integration by partial fraction decompositions 5 Use of Table of Integrals Refer to inside back cover of text I Basic Functions II Products of ex cos x and sinx III Products of Polynomial px with ln x ex cos x sinx IV Integer Powers of sinx and cosx V Quadratic in the Denominator VI Integrals Involving 612 x2 612 x2 c2 a2 a gt 0 These come from trigonometric substitutions 5 Use of Table of Integrals Refer to inside back cover of text I Basic Functions II Products of ex cos x and sinx III Products of Polynomial px with ln x ex cos x sinx IV Integer Powers of sinx and cosx V Quadratic in the Denominator VI Integrals Involving 612 x2 612 x2 c2 a2 a gt 0 de mg 1 ax 3x2 5 Use of Table of Integrals Refer to inside back cover of text I Basic Functions II Products of ex cos x and sinx III Products of Polynomial px with ln x ex cos x sinx IV Integer Powers of sinx and cosx V Quadratic in the Denominator VI Integrals Involving 612 x2 612 x2 c2 a2 a gt 0 Jxl3x2dxl V3x23j 1 0li 2 3x2 x3x2 1 J 3x2 dX ln 5 Use of Table of Integrals Refer to inside back cover of text I Basic Functions II Products of ex cos x and sinx III Products of Polynomial px with ln x ex cos x sinx IV Integer Powers of sinx and cosx V Quadratic in the Denominator VI Integrals Involving 612 x2 612 x2 c2 a2 a gt 0 Jx3x2 dx 3x2 3ln x3x2 c

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