∫(8x³+4x-7)dx

1. Integrate term by term: ∫8x³ dx + ∫4x dx - ∫7 dx.

2. Apply power and constant rules: 8(x⁴/4) + 4(x²/2) - 7x + C.

3. 2x⁴ + 2x² - 7x + C.