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First, we need to factorise the denominator and therefore we use this formula: x_1,2 =[ -b + sqrt(b² -4 a c) ]/ (2a). You obtain two roots, x = 2 and x=3 and the integration is simpli...

We have derivative rules. Some of them involve:If f(x)= (x)^a=> f'(x)= a*x^a-1If f(x)= ln x=> f'(x)= 1/xIf f(x)= sin x=> f'(x)=cos xTherefore, f(x)= 6y+1/x+cos x

Claim: For any prime p: (p-1)! = -1 (mod p)Proof: For p=2: 1! = 1 so the equality obviously holds. Therefore, we need to consider cases when p is odd.
Let's consider set: {1, ... , p-1}...

First write out the unit vectors in I, j, and k form. Then put these values into a matrix. Then find the determinant of the matrix. Then you will have reached your answer. I couldn't figure out how to sho...

We all know the the square root of 2 is irrational. So, the answer should be no. But how do we prove it?Let's assume for contradiction that x²=2 and that x is rational. Then x can be expressed ...