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Hasil dari ∫(53−3x+2) dx adalah ...

Pertanyaan

Hasil dari integral open parentheses 5 cubed minus 3 x plus 2 close parentheses space straight d x adalah ...space 

A. Armanda

Master Teacher

Mahasiswa/Alumni Universitas Indraprasta PGRI

Jawaban terverifikasi

Jawaban

 Error converting from MathML to accessible text..

Pembahasan

Terdapat kesalahan pada soal. Integral yang dimaksud bukan integral open parentheses 5 cubed minus 3 x plus 2 close parentheses space straight d x, melainkan integral open parentheses 5 x cubed minus 3 x plus 2 close parentheses space straight d x.

Ingat!

table attributes columnalign right center left columnspacing 0px end attributes row cell integral a x to the power of n space straight d x end cell equals cell fraction numerator a over denominator n plus 1 end fraction x to the power of n plus 1 end exponent end cell row cell integral open parentheses f open parentheses x close parentheses plus-or-minus g open parentheses x close parentheses close parentheses space straight d x end cell equals cell integral f open parentheses x close parentheses space straight d x plus-or-minus integral g open parentheses x close parentheses space straight d x end cell row cell integral k times f open parentheses x close parentheses space straight d x end cell equals cell k integral f open parentheses x close parentheses space straight d x end cell end table  

Maka, hasil dari integral open parentheses 5 x cubed minus 3 x plus 2 close parentheses space straight d x adalah:

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell integral open parentheses 5 x cubed minus 3 x plus 2 close parentheses space straight d x end cell row blank equals cell integral 5 x cubed space straight d x minus integral 3 x space straight d x plus integral 2 space straight d x end cell row blank equals cell 5 integral x cubed space straight d x minus 3 integral x space straight d x plus integral 2 space straight d x end cell row blank equals cell 5 times 1 fourth x to the power of 4 minus 3 times 1 half x squared plus 2 x plus C end cell row blank equals cell 5 over 4 x to the power of 4 minus 3 over 2 x squared plus 2 x plus C end cell end table  

Jadi, Error converting from MathML to accessible text..

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