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Integrate sin^4(x)

sin^2(x) = (1 - cos(2x))/2 and cos^2(x) = (1 + cos(2x))/2so sin^4(x) = 0.25(1 - 2cos(2x) + cos^2(2x)) = 0.25(1 - 2cos(2x) + 0.5 + 0.5cos(4x))integrate = 3x/8 - sin(2x)/4 + sin(4x)/32

AN
Answered by Artem N. Maths tutor
3833 Views

Solve the simultaneous equations 2x + 7y = 15 and 3x + 6y = 21

Find the lowest common multiple of 2 and 3, which is 6. Multiply each term in the first equation by 3, and each term in the second equation by 2 to produce two equations with the same coefficient of x (wh...

IR
Answered by Isobel R. Maths tutor
2980 Views

Fully factorise 2a^2b+6ab^2

1) Find the common factor between 2 and 6 (if there is one)... ...which is 2. 2) Find the common factor between a^2b and ab^2... ...which is ab. 3) Combine...

JH
Answered by James H. Maths tutor
17508 Views

How do you complete the square?

You start off with a formula in the form y = x2 + bx. The first step is to add the square of half of the coefficient of x: (b/2)2. This allows us to rearrange the formula into (x+ b/...

JM
Answered by Jamie M. Maths tutor
2554 Views

How do I choose which term do I differentiate/integrate when I am integrating by parts

What you would do in this scenario is consider all the terms in the expression you are integrating. You then want to go through the acronym LATE to choose which term you should differentiate.L stands for ...

FP
Answered by Federico P. Maths tutor
3017 Views

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