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SMK Teknologi dan Rekayasa

Soal 122 Integral Tak Tentu dan Tentu


Nilai\ \int_{0}^{1}(3x^{2}+2x)\ dx=....
a.\ \ 0\ \ \ \ \ \ \ \ \ \ b.\ \ 1\ \ \ \ \ \ \ \ \ \ c.\ \ 2\ \ \ \ \ \ \ \ \ \ d.\ \ 3\ \ \ \ \ \ \ \ \ \ \ \ e.\ \ 4
Jawaban: c

\begin{array}{rcl}\int_{0}^{1}(3x^{2}+2x)\ dx&=&\left [ 3.\frac{x^{2+1}}{2+1}+2.\frac{x^{1+1}}{1+1} \right ]_{0}^{1}\\\\&=&\left [ 3.\frac{x^{3}}{3}+2.\frac{x^{2}}{2} \right ]_{0}^{1}\\\\&=&\left [ x^{3}+x^{2} \right ]_{0}^{1}\\\\&=&\left [ (1^{3}+1^{2})-(0^{3}+0^{2}) \right ]\\\\&=&\left [ (1+1)-(0+0) \right ]\\\\&=&2-0\\\\&=&2\end{array}

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Guru Matematika SMK

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2 thoughts on “Soal 122 Integral Tak Tentu dan Tentu

  1. Hasil dari integral (3x+1)akar 3x^2+2x-4
    Mohon bantuannya ya pak

    Posted by Mardiyahtul hasanah | 18 Oktober 2015, 1:28 PM

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