Tolong bantu nomer 4 Soal INTEGRAL SUBTITUSI

Tolong bantu nomer 4
Soal INTEGRAL SUBTITUSI

Tolong bantu nomer 4
Soal INTEGRAL SUBTITUSI

~ Integrasi Fungsi ✓

Misal :

$u = 3 {x}^{3} + 4 {x}^{2} - 2 = > du = 9 {x}^{2} + 8x : dx$

Maka :

$intlimits^{1}_{-2} : {(3 {x}^{3} + 4 {x}^{2} - 2 )}^{3} (36 {x}^{2} + 32x) : dx = ... \$

$intlimits^{1}_{-2} : {(3 {x}^{3} + 4 {x}^{2} - 2 )}^{3} (36 {x}^{2} + 32x) : dx \ = frac{1}{4} intlimits^{1}_{-2} {u}^{3} : du \ = frac{1}{4} . frac{1}{4} : {u}^{4} : : [-2,1] \ = frac{1}{8} : {(3 {x}^{3} + 4 {x}^{2} - 2 )}^{4} : [-2,1] \ = frac{1}{8} [(3 + 4 - 2) - ( - 24 + 16 - 2)]^{4} \ = frac{1}{8} [5 - 6]^{4} \ = frac{1}{8} : satuan : luas$