Selesaikanlah integral ∫3x(x23​−1)dx

Pertanyaan

Selesaikanlah integral begin mathsize 14px style integral 3 x open parentheses 3 over x squared minus 1 close parentheses text d end text x end style 

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F. Ayudhita

Master Teacher

Jawaban terverifikasi

Pembahasan

Pembahasan

begin mathsize 14px style integral 3 x open parentheses 3 over x squared minus 1 close parentheses text d end text x end stylebegin mathsize 14px style equals integral open parentheses fraction numerator 9 x over denominator x squared end fraction minus 3 x close parentheses d x end style

                              equals integral size 14px 9 over size 14px x size 14px d size 14px x size 14px minus integral size 14px 3 size 14px x size 14px space size 14px d size 14px x equals 9 integral size 14px 1 over size 14px x size 14px d size 14px x size 14px minus size 14px 3 integral size 14px x size 14px space size 14px d size 14px x size 14px equals size 14px 9 size 14px ln begin mathsize 14px style open vertical bar x close vertical bar end style size 14px minus size 14px 3 begin mathsize 14px style left parenthesis fraction numerator 1 over denominator 1 plus 1 end fraction x to the power of 1 plus 1 end exponent right parenthesis end style size 14px plus size 14px C equals size 14px 9 size 14px ln begin mathsize 14px style open vertical bar x close vertical bar end style size 14px minus size 14px 3 begin mathsize 14px style left parenthesis 1 half x squared right parenthesis end style size 14px plus size 14px C size 14px equals size 14px 9 size 14px ln begin mathsize 14px style open vertical bar x close vertical bar end style size 14px minus size 14px 3 over size 14px 2 size 14px x to the power of size 14px 2 size 14px plus size 14px C

           

65

4.7 (4 rating)

Irma Mardiana

Pembahasan lengkap banget Makasih ❤️

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