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Maths
A Level

Use the substitution u=3+(x+4)^1/2 to find the integral of 1/(3+(x+4)^1/2) dx between 0 and 5.

We will call the integral I, so I = integral of 1/(3+(x+4)1/2) dx between 0 and 5. First substitute u=3+(x+4)1/2 into the equation to get I = integral of 1/u dx between 0 and 5 Next ...

CB
Answered by Calum B. • Maths tutor
3775 Views

Find the exact solutions, in their simplest form, to the equations : a) 2ln(2x + 1)-4=0 b)7^(x)e^(4x)=e^5

a) 2ln(2x + 1)-4=0

-> ln(2x + 1)-2=0

-> ln(2x + 1)=2

-> (2x + 1)=e2

-> 2x = e2 -1

-> x = (e2 -1)/2

b) 7x

EL
Answered by Elizabeth L. • Maths tutor
4510 Views

How do I find the equation of the tangent to y = e^(x^2) at the point x = 4?

This question can be broken up into two main parts, one you're probably familiar with from C1 + C2 and one which is newer. The first part relates to differentiating a compound function (where a function i...

SH
Answered by Sam H. • Maths tutor
8997 Views

differentiate with respect to 'x' : ln(x^2 + 3x + 5)

(2x + 3) / (x2 + 3x + 5)

AS
Answered by Alec S. • Maths tutor
4664 Views

Differentiate with respect to x: y=(6x^2-1)/2sqrt(x)

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