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The +c is to represent the loss in information after differentiation. Remember, integration is just the reverse of differentiation. Say we had this function:

f(x) = 2x^2 + 1 And we differentiate: f...

We first see that we are asked to solve the equation in terms of y. We can see that y = 2^x, and there is also a 2^x in the equation, meaning we can instantly change that to y. However, there is also a 4^...

1 find the domain of the function (where it exist) 2 find the solutions of the function, solve f(x)=0 3 if it has vertical asyntotes (poles) identify them (eg the denomitator=0) 4 find the intesections wi...

The gradient is the rate of change at a specific point on the curve. Since the tangent is a straight line that touches the curve only once at a specific point, the gradient of the curve and the tangent wi...

When integrating by substitution the first thing to do is change the limits of the integral by subbing them into the equation for u. This gives

u = 5 as the lower limit and

u = 2 for the upp...