Pertanyaan

Nilai dari ∫ − 2 2 ( x 2 − 4 x + 4 ) d x adalah....

Nilai dari $\int_{- 2}^{2} (x^{2} - 4 x + 4) d x$ adalah ....

D. Natalia

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

Pembahasan

Perhatikan perhitungan berikut! Jadi, jawaban yang tepat adalah E.

Perhatikan perhitungan berikut!

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell integral subscript negative 2 end subscript superscript 2 open parentheses x squared minus 4 x plus 4 close parentheses space d x end cell row blank equals cell integral subscript negative 2 end subscript superscript 2 x squared space d x minus integral subscript negative 2 end subscript superscript 2 4 x space d x plus integral subscript negative 2 end subscript superscript 2 4 space d x end cell row blank equals cell open square brackets 1 third x cubed close square brackets subscript negative 2 end subscript superscript 2 minus open square brackets 2 x squared close square brackets subscript negative 2 end subscript superscript 2 plus open square brackets 4 x close square brackets subscript negative 2 end subscript superscript 2 end cell row blank equals cell 1 third open parentheses 2 cubed minus open parentheses negative 2 close parentheses cubed close parentheses minus 2 open parentheses 2 squared minus open parentheses negative 2 close parentheses squared close parentheses plus 4 open parentheses 2 minus open parentheses negative 2 close parentheses close parentheses end cell row blank equals cell 1 third open parentheses 8 plus 8 close parentheses minus 2 open parentheses 4 minus 4 close parentheses plus 4 open parentheses 2 plus 2 close parentheses end cell row blank equals cell 16 over 3 minus 0 plus 16 end cell row blank equals cell fraction numerator 16 plus 48 over denominator 3 end fraction end cell row blank equals cell 64 over 3 end cell end table$

Jadi, jawaban yang tepat adalah E.