∫(x^2 + 5x + 6) dx(x 2
+5x+6)dx
Hint: Use c as constant term
\frac{x^3}{3} + \frac{5x^2}{2} + 6x + c
3

x
3

+
2

5x
2

+6x+c
\frac{x^2}{2} + \frac{5x}{2} + 6x + c
2

x
2

+
2

5x
+6x+c
2x + 5 + c
\frac{x^3}{3} + \frac{5x^2}{2} + c
3

x
3

+
2

5x
2

+c

456

Step-by-step explanation:

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~