Pertanyaan

Hasil dari ∫ 9 − x 2 d x = ....

Hasil dari $\int 9 - x^{2} d x =$ ....

$begin mathsize 14px style fraction numerator square root of 9 minus x squared end root plus 9 sin to the power of negative 1 end exponent invisible function application open parentheses x over 3 close parentheses over denominator 2 end fraction plus C end style$
$begin mathsize 14px style fraction numerator square root of 9 minus x squared end root plus 9 sin to the power of negative 1 end exponent invisible function application open parentheses x over 9 close parentheses over denominator 18 end fraction plus C end style$
$begin mathsize 14px style fraction numerator x square root of 9 minus x squared end root plus 9 sin to the power of negative 1 end exponent invisible function application open parentheses x over 3 close parentheses over denominator 2 end fraction plus C end style$
$begin mathsize 14px style fraction numerator x square root of 9 minus x squared end root plus 9 sin to the power of negative 1 end exponent invisible function application open parentheses x over 9 close parentheses over denominator 2 end fraction plus C end style$
$begin mathsize 14px style fraction numerator x square root of 9 minus x squared end root over denominator 18 end fraction plus sin to the power of negative 1 end exponent invisible function application open parentheses x over 9 close parentheses plus C end style$

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

Pembahasan

Ingat kembali integral berikut ini. Sehingga, Jadi, jawaban yang tepat adalah C.

Ingat kembali integral berikut ini.

$begin mathsize 14px style integral square root of a squared minus x squared end root blank d x equals fraction numerator a squared times x over a times fraction numerator square root of a squared minus x squared end root over denominator a end fraction plus a squared sin to the power of negative 1 end exponent invisible function application open parentheses x over a close parentheses over denominator 2 end fraction plus C end style$

Sehingga,

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral square root of 9 minus x squared end root blank d x end cell equals cell integral square root of 3 squared minus x squared end root blank d x end cell row blank equals cell fraction numerator 3 squared times x over 3 times fraction numerator square root of 3 squared minus x squared end root over denominator 3 end fraction plus 3 squared sin to the power of negative 1 end exponent invisible function application open parentheses x over 3 close parentheses over denominator 2 end fraction plus C end cell row blank equals cell fraction numerator x square root of 9 minus x squared end root plus 9 sin to the power of negative 1 end exponent invisible function application open parentheses x over 3 close parentheses over denominator 2 end fraction plus C end cell end table end style$

Jadi, jawaban yang tepat adalah C.