Evaluate the integral below

Question

Evaluate the integral below.

¹₀ (6+6xx) dx

Evaluate the integral below.

Integral [0,1] (6+6x(sqrt(x)) dx

Answer 1

¹₀ [ 6 + 6x(x) ] dx = ¹₀ [ 6 + 6x^3/2 ] dx = [ 6x + 6x^5/2 / _5/2 ]¹₀ = [ 6x + 12x²(x) / 5 ]¹₀ =

[ 6 * 1 + 12 * 1²(1) / 5 ] - [ 6 * 0 + 12 * 0²(0) / 5 ] = [ 6 + 12 / 5 ] - [ 0 + 0 ] = 30 / 5 + 12 / 5 - 0 = 42 / 5.