Calculus Techniques Of Integration 4 Up

Techniques Integration Over The Next Few Sections Examine Some Techniques That Are Frequently Successful When Seeking Antiderivatives Functions Sometimes This

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8 Techniques Of Integration Over The Next Few Sections We Examine Some Techniques That Are Frequently Successful When Seeking Antiderivatives Of Functions Sometimes This Is A Simple Problem Since It Will Be Apparent That The Function You Wish To Integrate Is A Derivative In Some Straightforward Way For Example Faced With ∫ X 10 Dx We Realize Immediately That The Derivative Ofx 11 Will Supply Anx 10 X 11 11 X 10 We Dont Want The 11 But Constants Are Easy To Alter Becausedifferentiation Ignores Them In Certain Circumstances So D Dx 1 11 X 11 1 11 11 X 10 X 10 From Our Knowledge Of Derivatives We Can Immediately Writedown A Number Of An Tiderivatives Here Is A List Of Those Most Often Used ∫ X N Dx X N 1 N 1 C Ifn 6 − 1 ∫ X − 1 Dx Ln X C ∫ E X Dx E X C ∫ Sinx Dx −cosx C 163 164 Chapter 8 Techniques Of Integration ∫ Cosx Dx Sinx C ∫ Sec 2 X Dx Tanx C ∫ Secxtanx Dx Secx C ∫ 1 1 X 2 Dx Arctanx C ∫ 1 √ 1 −x 2 Dx Arcsinx C 8 1 Substitution Needless To Say

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