What is the integral of 2x^5 - 1/4x^3 - 5
Integrating is essentially the opposite of differentiating.xn --> xn+1 We add 1 to the power and re-introduce variables where they have been eliminated potentially k --> kxWe must also take into account that when differeniating we mulitply the term by the power. So when integrating we must do the reverse of this and instead we divide through.One last thing to note is that terms that could have previously been in the equation that were elininated through differentiation e.g. 5 differentiated --> 0. To make up for this uncertainity we include a new variable (C).
JS
Related Maths A Level answers
All answers ▸How should I aproach a connected rates of change question.
curve C with parametric equations x = 4 tan(t), y=5*3^(1/2)*sin(2t). Point P lies on C with coordinates (4*3^(1/2), 15/2). Find the exact value of dy/dx at the point P.
The quadratic equation 2x^2 + 8x + 1 = 0 has roots x1 and x2. Write down the value of x1+x2 and x1*x2 and find the value of x1^2 + x2^2
let y=6x^-0.5+2x+1, find dy/dx.