The value of ∫ y^3 log y dy is: ​ (a) 1/8 {y^4 log y - 4y^4 + c} ​

Question

The value of ∫ y³ log y dy is: 

(a) \(\frac{1}{8}\) {y⁴ log y - 4y⁴ + c}

(b) \(\frac{1}{16}\) {4y⁴ log y - y⁴ + c}

(c) \(\frac{y^4 log\ y}{4}\) + c

(d) \(\frac{1}{16}\) {4y⁴ log y + y⁴ + c}

Answer 1

Correct option is (b) \(\frac{1}{16}\) {4y⁴ log y - y⁴ + c}