Penjelasan dengan langkah-langkah:

3)

a. 3 integral 2 (7x – 1) dx

= 3 [(7/2)x² – x] 2

= [(7/2)3² – 3] – [(7/2)2² – 2]

= [(7×9)/2 – 6/2] – [(7×4)/2 – 2]

= [(63–6)/2] – [28/2 – 2]

= 57/2 – (14–2)

= 57/2 – 24/2

= 33/2

b. 5 integral 2 (5x³) dx

= 5 [(5/4)x⁴] 2

= [(5/4)5⁴] – [(5/4)2⁴]

= [(5×625)/4] – [(5×16)/4]

= [3.125/4 – 80/4]

= 3.045/4

= 761¼

4)

a. integral (5x – 3)² dx

= integral (25x² – 30x + 9) dx

= (25/3)x³ – (30/2)x² + 9x + C

= (25/3)x³ – 15x² + 9x + C

b. integral (9x – 6)^5 dx

= (9/6)(9x – 6)^6 + C

= (3/2)(9x – 6)^6 + C