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Using the substitution u = 2 + √(2x + 1), or other suitable substitutions, find the exact value of 4 0 1 ∫ 2 (2 1) +√ +x dx giving your answer in the form A + 2ln B, where A is an integer and B is a positive constant

I will attach a file with the solution during the interview because it is difficult to type the solution in here.
GB
Answered by Georgica B. • Maths tutor
10361 Views

How does a hypothesis test work?

A hypothesis test can be thought of as being somewhat similar to a court case. In a court case, we want to find out whether someone is either guilty, or not guilty, so we assume that they are not guilty, and...
DA
Answered by Denis A. • Maths tutor
4292 Views

How can you find out if two lines expressed in their vector form intersect?

Let the lines be: r 1 = (a, b, c) + t(d, e, f) r 2 = (g, h, i) + s(j, k, l) Since t and s above are variables and the rest of the letters are constants, the only way to change the point which the vector equa...
YI
Answered by Yordan I. • Maths tutor
4876 Views

How to Integrate ln(x)?

Integrating this expression is a simple trick. We use integration by parts. For this we need a function we can integrate and a function we can differentiate. We know how to differentiate ln(x) which is 1/x. ...
JR
Answered by Jordan R. • Maths tutor
7753 Views

Prove the trigonometric identity tan^2(x)+1=sec^2(x)

We can start with the identity sin 2 (x)+cos 2 (x)=1 If we divide through the equation by cos 2 (x), we get: sin 2 (x)/cos 2 (x) + cos 2 (x)/cos 2 (x) = 1/cos 2 (x) If we look at the left hand side of the eq...
CW
Answered by Charlotte W. • Maths tutor
26671 Views