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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)) − ∫...
GT
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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 be the same. To solve this by elimination, the aim is ...
MA
Answered by Moyin A. • Maths tutor
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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 when x=-2, and y at t...
MC
Answered by Matilda C. • Maths tutor
3804 Views

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

2x 2 +8x+7=2(x 2 +4)+7=2((x+2) 2 -4)+7=2(x+2) 2 -8+7=2(x+2) 2 -1 A=2, B=2, C=-1
MC
Answered by Matilda C. • Maths tutor
9846 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 diffe...
HL
Answered by Harrison L. • Maths tutor
3797 Views