Hanya nomor 5 saja , tolonngg. , saya akan kasih poin sebanyak mungkin Help me pleasee

Penyelesaian:

a. ∫ x^2 + 2x / x^1/2 dx
= ∫ x^3/2 + 2x^1/2 dx
= 2/5x^5/2 + 4/3x^3/2 + c

b. 1/x^1/2 (1 + x^1/2)^2 dx
= 1/x^1/2 (x + 2x^1/2 + 1) dx
= ∫ x/x^1/2 + 2 + x^-1/2 dx
= 2/3x^3/2 + 2x^1/2 + 2x + c

c. ∫ x(x^1/2 + 1/x^1/2) dx
= ∫ x.x^1/2 + x/x^1/2 d
= ∫ x^3/2 + x^1/2 dx
= ∫ 2/5x^5/2 + 2/3x^3/2 + c

d. ∫ (x^2 ( 1 + x^1/2)^2 / x^1/2) dx 
= ∫ x^3/2 (x + 2x^1/2 + 1) dx
= ∫ x^5/2 + 2x^2 + x^3/2 dx
= 2/7x^7/2 + 2/3x^3 + 2/5x^5/2 + c