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SMK Teknologi dan Rekayasa

Soal 124 Integral Tak Tentu dan Tentu


\int_{0}^{2}(3x^{2}-3x+7)\ dx=....\\a.\ \ 6\ \ \ \ \ \ \ \ \ \ b.\ \ 10\ \ \ \ \ \ \ \ \ \ c.\ \ 13\ \ \ \ \ \ \ \ \ \ d.\ \ 16\ \ \ \ \ \ \ \ \ \ \ \ e.\ \ 22
Jawaban: d

\begin{array}{rcl}\int_{0}^{2}(3x^{2}-3+7)\ dx&=&\left [ 3.\frac{x^{2+1}}{2+1}-3.\frac{x^{1+1}}{1+1}+7x \right ]_{0}^{2}\\\\&=&\left [ 3.\frac{x^{3}}{3}+3.\frac{x^{2}}{2}+7x \right ]_{0}^{2}\\\\&=&\left [ x^{3}-\frac{3}{2}x^{2}+7x \right ]_{0}^{2}\\\\&=&\left [ (2^{3}-\frac{3}{2}\times 2^{2}+7\times 2)-(0^{3}-\frac{3}{2}\times 0^{2}+7\times 0) \right ]\\\\&=&\left [ (8-\frac{3}{2}\times 4+14)-(0-\frac{3}{2}\times 0+0) \right ]\\\\&=&\left [ (8-6+14)-(0-0+0) \right ]\\\\&=&16-0\\\\&=&16\end{array}

About Kalakay

Guru Matematika SMK

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One thought on “Soal 124 Integral Tak Tentu dan Tentu

  1. pak ni pikri,,,tugasX cuman segini,,

    Posted by bebenkang | 3 Agustus 2010, 10:09 PM

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