The value of the integral 48/π^4∫(3πx^2/2 - x^3)sin x/(1 + cos^2x)dx, x ∈ (0, π) is equal to ________.

Question

The value of the integral \(\frac{48}{\pi^4}\int\limits_0^{\pi}(\frac{3\pi x^2}2-x^3)\)i\(\frac{sin x}{1+cos^2x}dx\) is equal to ________.

48/π⁴∫(3πx²/2 - x³)sin x/(1 + cos²x)dx, x  ∈ (0, π) 

Answer 1

Answer is 6

Apply king again

(5) + (6)