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Integrate 4x^3 - 3x + 6

When integrating an equation we can treat each variable individually. Lets start with 4x^3, when integrating, we raise the power (in this case 3) by +1 and divide the multiple (in this case 4) by the new ...

Answered by Bradley P. Maths tutor
3306 Views

Integrate the following expression with respect to x, (2+4x^3)/x^2

First we should simplify the expression to be able to integrate it. We should separate the expression to 2 parts. Now we have the following: 2/x^2 + 4xWe can bring the x^2 to the top,now we have the follo...

Answered by Maria P. Maths tutor
2917 Views

Find the equation of the tangent to the curve y = x^2-2x-3 at x=-1

First we find the gradient by differentiation. Differentiating the expression for the curve gives dy/dx=2x-2. Subbing in x=-1 gives dy/dx=-4 so the gradient of the line is -4.
To find the y intercep...

Answered by Caleb R. Maths tutor
4772 Views

evaluate the integral 2x/((9+x^2)^1/2) between -2 and 0

One approach would be to use integration by parts, as we have two functions of x within the integral. This approach would get you to the answer but would be more difficult and convoluted than necessary. O...

Answered by Aiden F. Maths tutor
3312 Views

Expand the brackets (x-3)(x+4)

When dealing with questions to do with expanding brackets, you must multiply every term in one bracket with all the others in the second bracket. So for this question, we can see we have 4 terms

Answered by Ameer A. Maths tutor
4757 Views

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