Integral 1 sampai 3 (3x^2 + 2)dx

Mapel : Matematika Wajib (Kelas XII SMA)
Materi : Kalkulus
Indikator : Integral aljabar

Langkah Penyelesaian dan Jawaban :
[tex] \int\limits^3_1 {(3x^2 + 2)} \, dx \\ \\ = \frac{3x^{2 + 1}}{2 + 1} + 2x \\ \\ = \frac{3x^{3}}{3} + 2x \\ \\ = x^3 + 2x \\ \\ substitusi \ 3: \\ \\ = (3)^3 + 2(3) \\ \\ = 27 + 6 \\ \\ = 33 \\ \\ substitusi \ 1: \\ \\ = (1)^3 + 2(1) \\ \\ = 1 + 2 \\ \\ = 3 \\ \\ selisihkan : \\ \\ = 33 - 3 \\ \\ = 30 [/tex]