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How do you integrate by parts?

Using the formula (given in the formula booklet):∫ u(dv/dx) dx = uv − ∫ v(du/dx) dxFor example if we want to integrate ∫xsin(x) we can take x to be u and sin(x) to be (dv/dx).So ∫ xsin(x) dx = x(-cos(x)) ...

Answered by Gabriel Thomas N. • Maths tutor

1422 Views

Solve the simultaneous equation by elimination: 3x + y = 11 and 5x + y = 4

Simultaneous equations have at least two unknowns that must have the same value in each equation. This means the value of x and y in both equations must...

Answered by Moyin A. • Maths tutor

4205 Views

Using answer to previous question state the coordinates of the minimum

From previous question y=2(x+2)²-1Minimum would be when (x+2)² is at it's smallest value, in this case when (x+2)=0 since any other value squared would be greater than 0. This occurs...

Answered by Matilda C. • Maths tutor

3180 Views

Express 2x^2 +8x +7 in the form A(x+B)^2 + C, where A, B and C are constants

2x²+8x+7=2(x²+4)+7=2((x+2)²-4)+7=2(x+2)²-8+7=2(x+2)²-1A=2, B=2, C=-1

Answered by Matilda C. • Maths tutor

9020 Views

How do you translate the graph y = x^2, five unit squares negatively horizontally and 3 unit squares positively vertically?

Start again by drawing the graph and then the translated graphExplain what is meant by a translation ( a movement of the graph )Use a table of values to show how we can change the function to allow for di...

Answered by Harrison L. • Maths tutor

3253 Views