Question

evaluate integral 3x³-4x²+5x+3​

Answer 1

Answer:

Gini Uni

Step-by-step explanation:

happy to help ☺️

Answer 2

Question :-

$\bf \: ⟼ Evaluate \: ∫ ( {3x}^{3} - {4x}^{2} + 5x + 3)dx$

$\huge \orange{AηsωeR} ✍$

$\large \red{\bf \: ⟼ Formula \: Used :- } ✍$

$\bf \: ⟼ ∫  {x}^{n} dx = \dfrac{ {x}^{n + 1} }{n + 1} + c$

$\large \red{\bf \: ⟼ ∫ k \: dx = kx + c }$

___________________________________________

$\large \red{\bf \: ⟼ Solution:- } ✍$

$\bf \:∫ ( {3x}^{3} - {4x}^{2} + 5x + 3)dx$

$\bf \: ⟼ ∫  {3x}^{3}dx - ∫ {4x}^{2}dx + ∫ 5x dx+ ∫ 3dx$

$\bf \: ⟼3 ∫{x}^{3}dx - 4∫ {x}^{2}dx + 5∫ x dx+ 3∫ dx$

$\bf \: ⟼ \dfrac{3}{4} {x}^{4} - \dfrac{4}{3} {x}^{3} + \dfrac{5}{2} {x}^{2} + 3x + c$

___________________________________________