Question

integration of 4x^2+3x+5​

Answer 1

Answer: 7x + 3  

Step-by-step explanation:

4x - (2 - 3x) + 5  

4x - 2 + 3x + 5

Answer 2

Answer:

$\frac{4}{3} {x}^{3} + \frac{3}{2} {x}^{2} + 5x + c \:$

Step-by-step explanation:

$= > \int(4 {x }^{2} + 3x + 5)dx \\ \\ = > \int4 {x}^{2} dx + \int3xdx + \int5dx \\ \\ = > 4 \int {x}^{2} dx + 3 \int \: x.dx + 5 \int \: dx \\ \\ = > 4 \times \frac{ {x}^{2 + 1} }{2 + 1} + 3 \times \frac{ {x}^{1 + 1} }{1 + 1} + 5x + c \\ \\ = > 4 \times \frac{ {x}^{3} }{3} + 3 \times \frac{ {x}^{2} }{2} + 5x + c \\ \\ = > \frac{4}{3} {x}^{3} + \frac{3}{2} {x}^{2} + 5x + c$