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Find the integral of 3x^2 + 4x + 9 with respect to x.

We must first remember that to integrate, we must increase the power by 1 and divide by this new power. Therefore, to integrate 3x^2 + 4x + 9, we take the first term, 3x^2 . Using the above method, we find t...
DJ
Answered by Dylan J. • Maths tutor
10199 Views

What is the integral of (cos(x))^2?

cos(2x) = 2cos 2 (x)-1 by the double angle formula. Rearrange to give cos 2 (x) = (cos(2x)+1)/2 Integrating this gives sin(2x)/4 + 1/4x + c
MC
Answered by Max C. • Maths tutor
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What is a stationary point on a curve? How do I calculate the co-ordinates of a stationary point?

A stationary point simply means a point in a curve where the gradient is equal to 0.For example, in the June 2015 C3 Paper it is asked:Find the exact values of the coordinates of the stationary points of the...
ML
Answered by Martin L. • Maths tutor
6529 Views

A curve is defined by the parametric equations x = 3 - 4t, and y = 1 + 2/t. Find dy/dx in terms of t.

At first glance, this looks quite tricky, as usually when we are asked to find dy/dx, we have one equation, but here we have 2.So in this case, we need to use the statement that dy/dx = (dy/dt) * (dt/dx)Then...
WM
Answered by Wesley M. • Maths tutor
11194 Views

What is the integral of (6x^2 + 2/x^2 + 5) with respect to x?

When we think of integration, we should be thinking of the same method every time; adding one to the power, and then dividing by that new power.The integral of the sum of each of these terms is equal to the ...
WM
Answered by Wesley M. • Maths tutor
8740 Views