Jawaban:
1. -28
2. 1
Penjelasan dengan langkah-langkah:
Nomor 1
[tex]\begin{aligned}\displaystyle\rm~\int_{1}^{2}~ { - 12x}^{2} ~dx & = \displaystyle\rm~ { - 4x}^{3} ~\Bigr|_{1}^{2} \\ & = \displaystyle\rm~( - 4 {(2)}^{3}) - ( - 4 {(1)}^{3} ) \\ & = \displaystyle\rm~( - 4(8)) - ( - 4(1)) \\ & = \displaystyle\rm~ - 32 + 4 \\ & = \displaystyle\rm~ - 28 \end{aligned}[/tex]
Nomor 2
[tex] \begin{aligned}\displaystyle\rm~\int_{0}^{1}~8x - 3~dx & = \displaystyle\rm~ {4x}^{2} - 3x ~\Bigr|_{0}^{1} \\ & = \displaystyle\rm~ (4 {(1)}^{2} - 3(1)) - (4 {(0)}^{2} - 3(0)) \\ & = \displaystyle\rm~ (4(1) - 3) - (4(0) - 0) \\ & = \displaystyle\rm~ 1 - 0 \\ & = \displaystyle\rm~ 1 \end{aligned} [/tex]
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Jawaban:
1. -28
2. 1
Penjelasan dengan langkah-langkah:
Nomor 1
[tex]\begin{aligned}\displaystyle\rm~\int_{1}^{2}~ { - 12x}^{2} ~dx & = \displaystyle\rm~ { - 4x}^{3} ~\Bigr|_{1}^{2} \\ & = \displaystyle\rm~( - 4 {(2)}^{3}) - ( - 4 {(1)}^{3} ) \\ & = \displaystyle\rm~( - 4(8)) - ( - 4(1)) \\ & = \displaystyle\rm~ - 32 + 4 \\ & = \displaystyle\rm~ - 28 \end{aligned}[/tex]
Nomor 2
[tex] \begin{aligned}\displaystyle\rm~\int_{0}^{1}~8x - 3~dx & = \displaystyle\rm~ {4x}^{2} - 3x ~\Bigr|_{0}^{1} \\ & = \displaystyle\rm~ (4 {(1)}^{2} - 3(1)) - (4 {(0)}^{2} - 3(0)) \\ & = \displaystyle\rm~ (4(1) - 3) - (4(0) - 0) \\ & = \displaystyle\rm~ 1 - 0 \\ & = \displaystyle\rm~ 1 \end{aligned} [/tex]