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Solve ∫(x+2)/(2x^2+1)^3 dx

Since (x+2)/(2x²+1)³ can't be easily simplified into a more straightforward integral, we have to rely on some more advanced integration methods. Before trying things like substitutio...

Answered by Jack M. • Maths tutor

5288 Views

A curve is given by the equation y = (1/3)x^3 -4x^2 +12x -19. Find the co-ordinates of any stationary points and determine whether they are maximum or minimun points.

Stationary points - dy/dx =0dy/dx = x² -8x +12 ( differentiating- early a level skill). Solving x² -8x +12=0 gives x=6, x=2 (solving quadratics- gcse skill). Subbing these values bac...

Answered by Joseph C. • Maths tutor

2642 Views

In a class of 28 students, the average height of the 12 boys is 1.58 metres. The average height of the class is 1.52 metres. What is the average of the girls?

If we take x to be the total heights of the all the boys (1.58 * 12) be x and y to be the total height of all the students (1.52 * 28) then we may define the total heights of the girls, z, as y – x. If we...

Answered by Micah B. • Maths tutor

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One apple costs 0.56p, if i wanted 12 Apples what would be my total?

Method1) 1 Apple = £0.56 10 Apples = £0.56 x 10 = £5.60 I want 12 Apples, so 10 Apples = £5.60 + ...

Answered by Aqeeb M. • Maths tutor

1402 Views

Simplify the Equation, 60x+20y-4x-10y

60x+ 20y - 4x -10y
Step 1 ) collate the X's together = 60x -4x = 60-4= 56 add the x = 56x Step 2) collate the Y's together = +20y - 10y = +20 -10 = +10 add the y = +10yStep 3) add answers to step 1 ...

Answered by Aqeeb M. • Maths tutor

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