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Hitunglah integral subscript 1 superscript 2 open parentheses 3 x squared plus 4 x minus 5 close parentheses d x 

K. Prameswari

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

 integral subscript 1 superscript 2 table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses 3 x squared plus 4 x minus 5 close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank d end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 8 end table  

Pembahasan

Ingat bahwa

integral subscript a superscript b f open parentheses x close parentheses d x equals F open parentheses b close parentheses minus F open parentheses a close parentheses

Sehingga dapat diperoleh

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell integral subscript 1 superscript 2 open parentheses 3 x squared plus 4 x minus 5 close parentheses d x end cell row blank equals cell open square brackets fraction numerator 3 over denominator 2 plus 1 end fraction x to the power of 2 plus 1 end exponent plus fraction numerator 4 over denominator 1 plus 1 end fraction x to the power of 1 plus 1 end exponent minus 5 x close square brackets subscript 1 superscript 2 end cell row blank equals cell open square brackets 3 over 3 x cubed plus 4 over 2 x squared minus 5 x close square brackets subscript 1 superscript 2 end cell row blank equals cell open square brackets x cubed plus 2 x squared minus 5 x close square brackets subscript 1 superscript 2 end cell row blank equals cell open parentheses 2 cubed plus open parentheses 2 cross times 2 squared close parentheses minus open parentheses 5 cross times 2 close parentheses close parentheses minus open parentheses 1 cubed plus open parentheses 2 cross times 1 squared close parentheses minus open parentheses 5 cross times 1 close parentheses close parentheses end cell row blank equals cell open parentheses 8 plus 8 minus 10 close parentheses minus open parentheses 1 plus 2 minus 5 close parentheses end cell row blank equals cell 6 minus open parentheses negative 2 close parentheses end cell row blank equals 8 end table

Jadi, integral subscript 1 superscript 2 table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses 3 x squared plus 4 x minus 5 close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank d end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 8 end table  

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