Pertanyaan

Nilai dari ∫ − 2 0 4 − x 2 x d x adalah ....

Nilai dari $\int_{- 2}^{0} \frac{x}{4 - x ^{2}} d x$ adalah ....

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B

Pembahasan

Jadi, jawaban yang tepat adalah B

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell integral subscript negative 2 end subscript superscript 0 fraction numerator x over denominator square root of 4 minus x squared end root end fraction d x end cell equals cell open square brackets negative 1 half fraction numerator open parentheses 4 minus x squared close parentheses to the power of begin display style 1 half end style end exponent over denominator begin display style bevelled 1 half end style end fraction close square brackets subscript negative 2 end subscript superscript 0 end cell row blank equals cell open square brackets negative open parentheses 4 minus x squared close parentheses to the power of begin inline style 1 half end style end exponent close square brackets subscript negative 2 end subscript superscript 0 end cell row blank equals cell negative open square brackets open parentheses 4 minus 0 squared close parentheses to the power of 1 half end exponent minus left parenthesis 4 minus left parenthesis negative 2 right parenthesis squared right parenthesis to the power of 1 half end exponent close square brackets end cell row blank equals cell negative left parenthesis 2 minus 0 right parenthesis end cell row blank equals cell negative 2 end cell end table end style$

Jadi, jawaban yang tepat adalah B