Search over 10,000 free study notes

Change 16 as a power of 2 to get 2⁴. Change 8^2x as a power of 2 gives (2³)^2x. You can times the two powers together giving 2^6x.So 16*8^2x=2...

Step 1 differentiate substitution: du/dx = -2sin(2x)Step 2 rearrange for dx: dx=du/-2sin(2x)Step 3 substitute: integral= ∫u²sin³(2x).du/-2sin(2x)Step 4 get the integral in terms of u...

Step 1: Factorise the equation either directly or by using the quadratic formulae {[-b(+/-)sqrt(b^2-4ac)]/2a}. This equation can be factorised directly since 3*3=9 (for the last term on the RHS) and 3+3=6...

 y=x(x−1)y= x^2-xdy/dx= 2x-1

Example solve the following, equation 1: x²+2y=9 equation 2: y=x+3In this example we have to use substitution, therefore we sub in equation 2 into 1 to get the following x²+2(x+3)=9 ...