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Integrate cos(2x)sin(2x)

dy = sin(2x)cos(2x) dxlet u = sin(2x)du/dx = 2cos(2x)dx = du/2cos(2x)dy = (cos(2x)/2cos(2x))dudy = du/2y = u/2y = sin(2x)/2

Answered by Maths tutor
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√5(√8 + √18) can be written in the form a√10 where a is an integer. Find the value of a.

We have:
√5(√8 + √18)
Now, multiply out the brackets (multiply everything inside the brackets by √5). This gives us
√40 + √90
We now need to simplify the SURDs. We know that we want th...

Answered by Maths tutor
17280 Views

Integrate the following with respect to x, f(x)=xsin(x)

f(x)= xsin(x) >>>>>>>>>>>>>>>>>> integral[ udv/dx ] dx= uv - integral[v* du/dx] dx
let x=u and sin(x)=dv/dx >>>>>>>...

Answered by Maths tutor
3301 Views

Calculate the length of the hypotenuse of a right-angled triangle when the other two sides measure 6cm and 9cm.

Pythagoras theorem which applies to right angled triangles is summarised by the following formula: c2= a2 + b2 where 'c' is the hypotenuse of the triangle, whilst 'a' and...

GS
Answered by Gajendra S. Maths tutor
3438 Views

N sweets in a bag. 6 sweets are orange. The rest are yellow. Hannah takes a random sweet from the bag and eats it. She then takes another random sweet from the bag & eats it. The probability Hannah eats 2 orange sweets is 1/3. Show n^2 - n - 90 = 0.

It's a probability equation. The probability of getting an orange sweet the first time is 6/n. The probability of getting an orange sweet the second time is 5/n-1Times those together to get the probabilit...

HB
Answered by Hannah B. Maths tutor
3520 Views

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