Question

Integrate the following functions w.r.to ‘x’.

(i) (x + 5)⁶

(ii) 1/(2 - 3x)⁴

(iii) √(3x + 2)

Answer 1

(i) ∫(x + 5)⁶ dx = (x + 5)⁷/7 + c

(ii) ∫1/(2 - 3x)⁴ dx = -1/(-3 x 3(2 - 3x)³) = 1/9(2 - 3x)³ + c

(iii) ∫√(3x + 2) dx = ∫(3x + 2)^1/2 dx