minta bantuan nya dong teman teman

Saya hanya membantu 2 nomor saja ya?

6. f'(x) = 1 + 2x dan f(2) = 3, f(x)=
f(x) = integral f'(x)
= x + 2(1/(1 + 1) × x^(1+1)) + C
= x + 2.1/2 x^2 + C
= x + x^2 + C
f(2) = 3
2 + 2^2 + C = 3
2 + 4 + C = 3
C = 3 - 6 = -3
f(x)= x + x^2 - 3

9. Integral x√(2x^2 + 1)=
Misalkan :
u = 2x^2 + 1
du = 4x dx
Integral x√(2x^2 + 1) = integral 1/4.4x√(2x^2 + 1)
= integral 1/4(√(2x^2 + 1)) (4x dx)
= integral 1/4(√u) du
= integral 1/4(u^1/2) du
= 1/4(1/(1/2 + 1) × u^(1/2 + 1)) + C
= 1/4(2/3 × u^3/2) + C
= 1/6u√u + C
= 1/6(2x^2 + 1)√(2x^2 + 1) + C