∫4√xdx

Question

1. Rewrite the radical as a power: 4∫x¹/² dx.

2. Apply the power rule: 4 * (x¹/²⁺¹)/(1/2+1) + C = 4 * (x³/²)/(3/2) + C.

3. Simplify: 4 * (2/3)x³/² + C = (8/3)x³/² + C.

Accepted Answer

1. Rewrite the radical as a power: 4∫x¹/² dx.

2. Apply the power rule: 4 * (x¹/²⁺¹)/(1/2+1) + C = 4 * (x³/²)/(3/2) + C.

3. Simplify: 4 * (2/3)x³/² + C = (8/3)x³/² + C.

Ответ: