Pertanyaan

Nilai dari ∫ ( 3 x − 1 ) 7 d x = ....

Nilai dari $\int (3 x - 1)^{7} d x = ....$

F. Nur

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

nilai dari .

nilai dari Error converting from MathML to accessible text.

Pembahasan

Misalkan , sehingga Jadi, nilai dari .

Misalkan u equals 3 x minus 1 , sehingga $d u equals 3 space d x left right arrow fraction numerator d u over denominator 3 end fraction equals d x$

$table attributes columnalign right center left columnspacing 0px end attributes row cell integral open parentheses 3 x minus 1 close parentheses to the power of 7 space d x end cell equals cell integral u to the power of 7 space fraction numerator d u over denominator 3 end fraction end cell row blank equals cell 1 third integral u to the power of 7 space d u end cell row blank equals cell 1 third open square brackets fraction numerator 1 over denominator 7 plus 1 end fraction u to the power of 7 plus 1 end exponent plus C close square brackets end cell row blank equals cell 1 third open square brackets 1 over 8 u to the power of 8 plus C close square brackets end cell row blank equals cell 1 third open square brackets 1 over 8 open parentheses 3 x minus 1 close parentheses to the power of 8 plus C close square brackets end cell row blank equals cell 1 over 24 open parentheses 3 x minus 1 close parentheses to the power of 8 plus C end cell end table$

Jadi, nilai dari Error converting from MathML to accessible text. .