1. integral 2x^3 - 5x^2 - 15x + 4 2. integral ( 3x - 2 )^2 dx

Materi : Kalkulus
Bahasan : Integral Tak Tentu

Langkah - langkah dan Jawaban :
[tex] \int\limits {(2x^{3} - 5x^2 - 15x + 4) } \, dx \\ \\ = \frac{2x^{3+1}}{3+1} - \frac{5x^{2+1}}{2+1} - \frac{15x^{1 + 1}}{1+1} + 4x + C \\ \\ = \frac{2x^{4}}{4} - \frac{5x^{3}}{3} - \frac{15x^{2}}{2} + 4x + C \\ \\ = \frac{1}{2}x^4 - \frac{5}{3}x^{3} - \frac{15}{2}x^{2} + 4x + C \\ \\ \\ \int\limits {(3x - 2)^2} \, dx \\ \\ = \frac{1}{3(2+1)}(3x-2)^{2 + 1} + C \\ \\ = \frac{1}{9} (3x-2)^{3} + C [/tex]