Integrate with respect to x ) dy/dx= 6x^5
The integral of any equation let the example be dy/dx = ax^n The integral of (RHS) dy/dx (because when we integrate we are integrating both sides) is y The integral of (LHS) ax^n is [ax^(n+1)]/[n+1] when integrating there is always a constant that is unknown without any other equations that hold. Thus the integral is y= [ax^(n+1)]/[n+1] +C (Where C is a currently unknown constant)
NM
Related Maths A Level answers
All answers ▸Find the equation of the tangent to the curve y = 3x^2 + 4 at x = 2 in the form y = mx + c
The line AB has equation 3x + 5y = 7. What is the gradient of AB?
Use the chain rule to show that, if y = sec(x), then dy/dx = sec(x)tan(x).
A circle has eqn x^2 + y^2 + 2x - 6y - 40 = 0. Rewrite in the form (x-a)^2 + (y-b)^2 = d.