mohon bantuan nya please!!!

Integral

1.
∫x² (x+6) dx
= ∫ x³ + 6x² dx
= 1/(3+1)  x³⁺¹  + 6/(2+1) x²⁺¹ + c
= 1/4 x⁴ + 6/3 x³ + c
= ¹/₄ x⁴ + 2x³ + c

2.
∫ √x dx = ∫ x¹/²  dx = 1/ (¹/₂ +1) x¹/² ⁺¹ + c
= 1/(³/₂) x³/² + c
= ²/₃  x³/²  + c
= ²/₃ x√ x + c

3.
∫ x² √ x dx = ∫ x².x¹/² .dx = ∫ x⁵/² dx
= ¹/(⁵/₂ +1) x⁵/² ⁺¹ + c
= ¹/(⁷/₂) x ⁷/² + c
= ²/₇ x⁷/² + c
= ²/₇ x³√x  + c

4.
∫ x²/⁵ dx = ¹/(²/₅ + 1) x²/⁵ ⁺ ¹ + c
= ¹/(⁷/₅) x⁷/⁵ + c
= ⁵/₇ x⁷/⁵ + c

5. 
∫ √x³ dx = ∫ x³/² dx = ¹/(³/₂ +1)  x³/² ⁺ ¹ + c
= ¹/(⁵/₂) x⁵/² + c
= ²/₅ x⁵/² + c
= ²/₅ x² √x + c