How do you integrate y = 4x^3 - 5/x^2?
First we should look at the formula for integrating xn. The integral is (xn+1 / n+1) + C.
Let's break down our equation into two parts.
-
The integral of 4x3 = 4(x3+1 / 3+1) = 4(x4 / 4) = x4
-
The integral of -5/x2 = -5(x-2+1 / -2+1) = -5(x-1 / -1) = 5(x-1) = 5/x
So the integral of y = x4 + 5/x + C
HJ
Related Maths A Level answers
All answers ▸Evaluate the following integral: (x^4 - x^2 +2)/(x^2(x-1)) dx
How can you integrate the function (5x - 1)/(x^(3)-x)?
A block of mass 5kg is on a rough slope inclined at an angle of 30 degrees to the horizontal, it is at the point of sliding down the slope. Calculate the coefficient of friction between the block and the slope.
Solve e^(2x) = 5e^(x) - 6, giving your answers in exact form