Answer to Question #147652 in Calculus for liam donohue

Question

Evaluate ∫20f(x)dx, where
f(x)={7x6,2x4,0≤x<11≤x≤2.


∫20f(x)dx =

Answer 1

f(x)={7x6,2x4,0≤x<11≤x≤2.

∫20f(x)dx =∫20{7x⁶, 2x⁴}

= {140x⁷/7, 40x⁵/5}

= (20x⁷,8x⁵)

={140_*11⁷/7, 40_*11⁵/5}-{140 _*2⁷/7, 40 _*2⁵/5}

{389743420,1288408}-{2560, 256}

=(389740860,1288152)