Question

integrate the function f(x) = ( 4x + 5 )^6​

Answer 1

Answer:

f(x) = ( 4x + 5 )⁶

Step-by-step explanation:

 ∫ ( 4x + 5 )⁶. dx

                          → ∫ xⁿ.dx = xⁿ⁺¹/(n+1)

= ( 4x + 5 )⁶⁺¹/6+1 + ∫ 4x.dx + ∫ 5.dx

= ( 4x + 5 )⁷/7 + 4 ∫ x.dx + 5 ∫ dx

= ( 4x + 5 )⁷/7 + 4* x²/2 + 5x

= ( 4x + 5 )⁷/7 + 2x² + 5x

hope this helps u...