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Over a year, the number of rabbits in a field increases by 25% and then by a further 30%. Originally there were 200 rabbits in the field how many were there at the end?

Originally the number of rabbits was 200. We therefore need to find 25% of 200 and then increase the value of 200 by the 25%, we will then know how many rabbits there are after the 25% increase. 25/100 x ...

AE
Answered by Alba E. Maths tutor
3151 Views

Integration of ln(x)

Let f denote an integral sign, I will write the integrand in square brackets. We can use integration by parts to integrate ln(x), the "trick" here is to imagin ln(x) as 1 x ln(x). Integ...

AS
Answered by Amelia S. Maths tutor
3076 Views

Use integration by parts to find the value of the indefinite integral (1/x^3)lnx ; integration with respect to dx

Let f denote an integral sign, I will write the integrand in square brackets. The formula for integration by parts is given by:f [(u)(dv/dx)]dx = uv - f [((du/dx)(v)]dxTo apply ...

AS
Answered by Amelia S. Maths tutor
9338 Views

Find the area under the graph between x=0 and x=2 when f(x)=x^2 +2, give your answer as an exact value.

First of all we need to find the integral of our function which is f(x). Since we are integrating with respect to x and our values are in the form of x we can use the rule of raising the power for each x ...

TM
Answered by Toby M. Maths tutor
3294 Views

Integrate 2sin^3(x)+3.

First we need to use trigonometric identities to convert the sin^3(x) to a single power. This is because we cannot integrate trigonometric functions that are above the power of 1. We need to use the doubl...

VP
Answered by Vaidik P. Maths tutor
4943 Views

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