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Integrate 2x^5 + 7x^3 - (3/x^2)

Integrating x n gives you x n+1 /(n+1).Integral of 2x 5 is 2x 6 /6 = x 6 /3. The integral of 7x 3 is 7x 4 /4.-(3/x 2 ) can be rewritten as -3x -2 . Therefore the integral is -3x -1 /-1 = 3x -1 = 3/x. As it i...
AP
Answered by Alexander P. • Maths tutor
4798 Views

Differentiate y = 5x^3 + 7x + 3 with respect to x

When differentiating with respect to x, we multiply the coefficient of the 'x' by the power of the 'x', and subtract one from the power of 'x'. For example:y = 5x^5dy/dx = (5 5)x^(5-1) = 25x^4If the power of...
JK
Answered by Jordan K. • Maths tutor
4600 Views

(Core 2) Show that the region bounded by the curve y = 7x+ 6 - (1/x^2), the x axis and the lines x = 1 and x = 2 equals 16

The question wants us to confirm the answer so the marks will be in the method unlike most questions which require you to find the answer. How to approach this is by thinking what ways can we calculate areas...
LJ
Answered by Lewis J. • Maths tutor
4536 Views

A curve (C) with equation y=3x^(0.5)-x^(1.5) cuts the X axis at point A and the origin, calculate the co-ordinates of point A.

Insert 0 into the equation in place of Y as the Y co-ordinate is always 0 across the X-Axis.0 = 3x^0.5-x^1.5The x^0.5 can be factored out from the 3x^0.5 and the x^1.5 giving you...x^0.5(3-x^1) = 0 [As x^0.5...
JM
Answered by Jack M. • Maths tutor
3862 Views

Differentiate and find the stationary point of the equation y = 7x^2 - 2x - 1.

First we will differentiate the equation. To differentiate the equation we must multiply the coefficient by the power, and then subtract the power. If the is no x within an element the element becomes 0 when...
EW
Answered by Elise W. • Maths tutor
4237 Views