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y=x²+2x-3

Can solve using quadratic equation. Using the square method to obtain for the square term and x term (x+1)(x+1) = x²+2x+1

Therefore (x+1)(x+1)-4=y

To f...

Increase the powers of all variables by one and then divide them by this number. For example, given 3x^3 + 5x^-0.5 - 8 , this would give 3/4x^4 + 10x^0.5 - 8x

First of all key elements required for this question is the knowledge or retrival of these equations: tan² + 1 =sec² A   tan(A-B) = (tanA-tanB)/(1+tanAtanB) so for the first equation...

To answer this we will need to use the product rule which is as follows: For y=uv, dy/dx=u'v+uv' where u' is the derivative of u and v' is the derivative...

Integrate by parts. First rewrite the integral in the form udv/dx, which is (1)ln(x). Then integrate (1)ln(x) wrt dx by assigning u=ln(x) du/dx=1/x and dv/dx=1 v=x. We can determine the integral of ln...