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Find the integral of 3x-x^(3/2)

3/2x 2 -2/5x 5/2 +C
HN
Answered by Henry N. • Maths tutor
5324 Views

Integrate tan(x)^2 with respect to x

sin(x)2 + cos(x)2 = 1 divide by cos(x)2 tan(x)2 + 1 = sec(x)2 therefore tan(x)2 = sec(x)2 - 1 integral of sec(x)2 - 1 rwt x = tan(x) - x + C therefore the integral of tan(x)2 rwt x = tan(x) - x + C
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Answered by Osman O. • Maths tutor
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How to differentiate a bracket raised to a power i.e. chain rule

Lets say the equation to be differentiated takes the following format y = (ax 2 +bx+c) n , to find dy/dx: (1) Make u equal the contents of the bracket, u=ax 2 +bx+c. (2) Substitute the contents of the bracke...
DF
Answered by David F. • Maths tutor
29659 Views

The curve, C has equation y = 2x^2 +5x +k. The minimum value of C is -3/4. Find the value of k.

Notes: At the minimum point of the curve, the gradient is = 0. You can find the gradient of a curve by taking the derivative of a point in the curve. We also know that when the curve is at a minimum, y =-3/4...
BH
Answered by Baraqat H. • Maths tutor
15398 Views

How do I find the minimum point for the equation y = x^2 -5x - 6?

The minimum point for the curve can be found by finding the point at which the gradient is zero, where the curve is instantaneously level, before increasing again. This can be done by differentiating the equ...
AU
Answered by Alex U. • Maths tutor
6857 Views