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Solve x^2 - 6x - 2=0 giving your answer in simplified surd form.

SInce the question requires simplified surd form, it makes sense to use the quadratic formula immediately for this question.

This would give us

x = 6 [+-] squareroot(36-(4x1...

Answered by Molly B. • Maths tutor

13794 Views

Use logarithms to solve 9^x=15

According to the rules of logarithms, when you take a log of something to the power of something, you multiply the log of the base by the power, so in this case, taking logs of both sides would give us...

Answered by Molly B. • Maths tutor

7638 Views

Integrate the following function by parts and reduce it to it's simplest form. f(x) = ln(x).

First note that ln(x) = 1ln(x), this is in the form udv/dx.

Let dv/dx = 1 and u = ln(x).

du/dx = 1/x from the standard results and v = x by integration.

Answered by Ryan B. • Maths tutor

4971 Views

Integrate sinx*ln(cosx) with respect to x.

1. ʃ sinx*ln(cosx) dx

First notice the composition ln(cosx). To make the expression easier to integrate we try substitution (substitution is often useful when trying to integrate expressi...

Answered by Darshan S. • Maths tutor

19033 Views

How can we remember the difference between differentiation and integration?

Integration is the inverse of differentiation. I.e. for differentiation of linear expressions we multiply the coeifficient with the power of the unknown and then subract 1 from the power. Integration i...

Answered by Madeha N. • Maths tutor

5249 Views