Question

Find the area bounded by the curves y^2 = 2x + 6 and x = y + 1. Your work must include an integral in one variable.

Answer 1

@satellite73 I got 21.333 but wolfram says it's 18

Answer 2

https://www.wolframalpha.com/input/?i=Find+the+area+bounded+by+the+curves+y%5E2+%3D+2x+%2B+6+and+x+%3D+y+%2B+1

Answer 3

r y = f(x) between a fixed point a and a variable point x by

Answer 4

y = f(x) between a fixed point a and a variable point x by

Answer 5

Solved for y in both equations while wolfram left it untouched.

Answer 6

@IrishBoy123

Answer 7

Would my answer also be considered right?

Answer 8

Decided to solve for x then graph and integrate

Answer 9

https://www.wolframalpha.com/input/?i=int_%7B-4%7D%5E%7B4%7D+%28y%2B1%29+-+%28%28y%5E2%29%2F2+-+3%29+dy&dataset=&equal=Submit

Answer 10

i'd do it "dy" as shown

Answer 11

irish boy when you are done can you come back to me?

Answer 12

Why -4 to 4?

Answer 13

good spot


typo

https://www.wolframalpha.com/input/?i=int_%7B-4%7D%5E%7B2%7D+%28y%2B1%29+-+%28%28y%5E2%29%2F2+-+3%29+dy

Answer 14

-2 to 4 :p

Answer 15

OMG

i drew this ny hand and ....... got the straight line wrong !!!!! how embarassing is that?!?!



so, yeah, -2 to 4

https://www.wolframalpha.com/input/?i=int_%7B-2%7D%5E%7B4%7D+%28y%2B1%29+-+%28%28y%5E2%29%2F2+-+3%29+dy