Roboguru
SD

Integral dari  f  (x)=23​x​.

Pertanyaan

Integral dari space f apostrophe apostrophe open parentheses x close parentheses equals 3 over 2 square root of x.

Y. Umi

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

integral darispace f apostrophe apostrophe open parentheses x close parentheses equals 3 over 2 square root of x adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank italic x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of italic x end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank C end table dengan C adalah konstanta.

Pembahasan

Integral dari space f apostrophe apostrophe open parentheses x close parentheses equals 3 over 2 square root of x adalah

table attributes columnalign right center left columnspacing 0px end attributes row cell f apostrophe open parentheses x close parentheses end cell equals cell integral f apostrophe apostrophe open parentheses x close parentheses d x end cell row blank equals cell integral open parentheses 3 over 2 square root of x close parentheses d x end cell row blank equals cell integral open parentheses 3 over 2 x to the power of 1 half end exponent close parentheses d x end cell row blank equals cell fraction numerator 3 over 2 over denominator 1 half plus 1 end fraction x to the power of 1 half plus 1 end exponent plus straight C end cell row blank equals cell fraction numerator 3 over 2 over denominator 3 over 2 end fraction x to the power of 3 over 2 end exponent plus C end cell row blank equals cell x to the power of 3 over 2 end exponent plus straight C end cell row blank equals cell x square root of x plus straight C end cell end table

Jadi, integral darispace f apostrophe apostrophe open parentheses x close parentheses equals 3 over 2 square root of x adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank italic x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of italic x end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank C end table dengan C adalah konstanta.

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