WMA11 June 2021

4. WMA11/01 (Edexcel) IAL P1 June 2021 June 2021 Q4 Integration

Find​​ 

∫3x+2x-54x

writing each term in simplest form.​​ 

(6)

SOLUTION

∫3x+2x-54x dx

=∫3x12+2x-54x12dx

=∫3x32-15x12+2x-10 4x12dx

Lets split the fraction so that the integration can easily be performed.​​ 

=∫3x324x12-15x124x12+2x4x12-104x12dx 

=∫34x-154+12x12-52x-12dx 

=34x22-15x4+12x3232-52x1212+c

=38 x2-154x+23 x12 x32-52 x 2x12+c

=38x2-154x+13x32-5x12+c