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SMK Teknologi dan Rekayasa

Solusi Paket 59 UN 2011 Matematika SMK Teknologi (38)


Hasil\ dari\ \int_{2}^{3}(12x^{2}-5)\ adalah\ ....\\\\A.\ \ 24\ \ \ \ \ \ \ \ \ \ B.\ \ 51\ \ \ \ \ \ \ \ \ \ C.\ \ 60\ \ \ \ \ \ \ \ \ \ D.\ \ 71\ \ \ \ \ \ \ \ \ \ \ \ E.\ \ 98
Jawaban: D
\begin{array}{rcl}\int_{2}^{3}(12x^{2}-5)\ dx&=&\Big[12\times \frac{x^{3}}{3}-5x\Big]_{2}^{3}\\\\&=&\Big[4x^{3}-5x\Big]_{2}^{3}\\\\&=&\big(4\times 3^{3}-5\times 3\big)-\big(4\times 2^{3}-5\times 2\big)\\\\&=&\big(4\times 27-15\big)-\big(4\times 8-10\big)\\\\&=&(108-15)-(32-10)\\\\&=&93-22\\\\&=&71\end{array}

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