tolong bantu kerjakan tugas matematika. senin mau dikumpulkan

Penyelesaian:

a. ∫ 2x(2/x -1) dx
= ∫ 4 - 2x dx
= -x² + 4x + c

b. ∫ x^-2 (x² - x) (2x² - 3x) dx
= ∫ x^-2 (2x^4 - 3x³ - 2x³ + 3x²) dx
= ∫ x^-2 (2x^4 - 5x³ + 3x²) dx
= ∫ 2x² - 5x + 3 dx
= 2/3.x³ - 5/2.x² + 3x + c

c. (x² + 6)² / √x dx
= ∫ (x^4 + 12x² + 36) / x^1/2 dx
= ∫ x^7/2 + 12x^3/2 + 36x^-1/2 dx
= 2/9.x^9/2 + 24/5.x^5/2 + 72.x^1/2 + c