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Find the integral of xcos(2x) with respect to x

You can see that this question is asking you to do integration by parts. Remember that the integral of uv' is equal to uv - the integral of u'v. You want to find a u that gets easier when you differentiat...

Answered by Krystian J. • Maths tutor

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how would you expand quadratic factors

Using the crab method draw lines from each term in the first bracket to the terms in the next bracket only once ensuring the lines do not crossover. A crab like claw should appear, add terms of the same p...

Answered by Ricken P. • Maths tutor

3841 Views

y is inversely proportional to d2 when d = 10, y = 4 d is directly proportional to x2 when x = 2, d = 24 Find a formula for y in terms of x. Give your answer in its simplest form.

y=k/d²
substituting:4=k/10²
4=k/100
400=k
d=nx²
substituting:24=n x 2²

24=4n
n=6
Eq1:y=400/d²
Eq2:...

Answered by Abi I. • Maths tutor

12094 Views

Integrate Sin^2(x)

(using double angle formula)Sin^2(x)=1/2-(Cos(2x)/2)
So the Integral is 1/2(x-1/2Sin(2x))which simplifies to x/2 - 1/2Sin(x)Cos(x)

Answered by Alex R. • Maths tutor

3121 Views

The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5. Work out the area of the triangle.

Consider a right angled triangle, it has perimeter of 72cm. Let's label the three sides a, b and c.Therefore, a + b + c = 72cm.Also, we know that a:b:c = 3:4:5Therefore we can say that a = 3x, b = 4x, c =...

Answered by Dilan A. • Maths tutor

2257 Views