kak tolong di kerjakan soal integral. bagian a dan b...... .... ... ....

Penyelesaian:

Ingat: a^m . a^n = a^m+n
a^m / a^n = a^m-n

a. ∫ [tex] \frac{(2 + 3x)^2}{ \sqrt{x} } dx[/tex]
= ∫ [tex] \frac{9x^2 + 12x + 4}{ \sqrt{x} } dx[/tex]
= 9x^3/2 + 12x^1/2 + 4x^-1/2 dx
= 18/5.x^5/2 + 8x^3/2 + 8x^1/2 + c
= [tex] \frac{18}{5}x^2 \sqrt{x} + 8x \sqrt{x} + 8 \sqrt{x} +c [/tex]

b. ∫ [tex]( \frac{1}{t} + 2t)^2 dt[/tex]
= ∫ 4t² + t^-2 + 4 dt
= 4/3.t^3 - t^-1 + 4t + c
= [tex] \frac{4}{3}t^3 + 4t - t^-1 + c[/tex]

Materi Integral <<<<<<<<<<<<<<