Thread: Maths help for integration

hey i do not know how to do this question. I don't know how to simplify the power of 3.

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

the answer is 0.42 units^2.

thank you.

You need to find



is where

hey i don't get what you mean.

sorry

Originally Posted by pickslides

You need to find



is where

hey i know how to do it but the thing it i dont know how to find the x^3 + 3x -4 = 0 how do you simplify that to find the x - values ?

Originally Posted by maay

hey i know how to do it but the thing it i dont know how to find the x^3 + 3x -4 = 0 how do you simplify that to find the x - values ?

It should be clear by inspection that x = 1 satisfies the equation. Therefore x - 1 is a factor of x^3 + 3x - 4 and anyone studying calculus should be able to factorise a cubic if a linear factor is known and therefore establish that x = 1 is the only real solution.