Integration (1 Viewer)

[luvotomy]

can someone please help me with the question below, i really can't get the answer which is 0.42 units^2:

Find the area enclosed between the curve y=x^3, the x-axis and the line y=-3x+4?

Thaaaanks in advance

 

[12o9]

 

[luvotomy]

thanks alot!

 

[Advv]

How'd you know the x value of the POI is 1?

 

[12o9]

How'd you know the x value of the POI is 1?

Solve both equations simultaneously to find the point of intersection

 

[Advv]

Yeah but x^3 + 3x - 4 = 0. o_o; How do you solve that? Yeah I'm pretty shit at math.

 

[Aerath]

Yeah but x^3 + 3x - 4 = 0. o_o; How do you solve that? Yeah I'm pretty shit at math.

Pretty much guess and check. But I supposed you could try to use factor R/S (if you know it), or a guess and check remainder/factor theorem.
But usually the numbers are simple enough.

 

[VenomP]

So how come he divided the area up into two different areas here too?