Pertanyaan

Jika f ( x ) = 4 x 3 , carilah ∫ f ( x ) d x !

Jika $f (x) = 4 x^{3}$ , carilah $\int f (x) d x$ !

A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

Jawaban terverifikasi

Jawaban

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integral f left parenthesis x right parenthesis d x equals x to the power of 4 plus straight C

Pembahasan

Jika , maka . Jadi .

Jika f left parenthesis x right parenthesis equals straight a x to the power of straight n , maka $integral f left parenthesis x right parenthesis d x equals fraction numerator 1 over denominator straight n plus 1 end fraction times straight a times x to the power of straight n plus 1 end exponent plus straight C$ .

$table attributes columnalign right center left columnspacing 0px end attributes row cell integral 4 x cubed d x end cell equals cell fraction numerator 1 over denominator 3 plus 1 end fraction times 4 times x to the power of 3 plus 1 end exponent plus straight C end cell row blank equals cell 1 fourth times 4 times x to the power of 4 plus straight C end cell row blank equals cell x to the power of 4 plus straight C end cell end table$

Jadi integral f left parenthesis x right parenthesis d x equals x to the power of 4 plus straight C .

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