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Integrate the following fraction w.r.t. x: (sqrt(x^2 + 1)-sqrt(x^2 - 1))/(sqrt(x^4 - 1))

Notice the denominator can be factorised as the difference of two squares. The fraction can then be simplified by cancellation. The resulting fraction(s) can then be solved using the list of integrals in you...
TD
Answered by Tutor80072 D. • Maths tutor
4875 Views

Factorise 7x +14

7(x + 2)
AM
Answered by Ajay M. • Maths tutor
8661 Views

Solve these 2 equations simultaneously: 7x+y=1 and 2x squared - y=3

7x+y=1 (1) -> y= 2x 2 - 3 (3) 7x + 2x 2 -3-1=0 -> (2x-1)(x+4)=0 so 2x-1=0 so 2x=1 so x=0.5 and x+4=0 so x=-4 7(0.5)+y=1 so y=1-3.5 so y=-2.5 and 7(-4) +y=1 so -28+y=1 so y= 29 Full answer: x=0.5 y=-2.5...
HV
Answered by Hannah V. • Maths tutor
4087 Views

Simplify p^2×p^5

When you multiply two numbers that are the same with different exponents, the number can remain the same and the exponents are added. That is an exponents rule. This means that the answer is p^7
SA
Answered by Sama A. • Maths tutor
8702 Views

Express (3 - sqrt(5))^2 in the form m + n*sqrt(5), where m and n are integers.

Layout the problem in a more recognisable form such as (3 - sqrt(5))(3 - sqrt(5)) . Notice that this looks a lot like a factorised quadratic equation , where sqrt(5) can be treated as a variable like x . The...
AP
Answered by Anselmo P. • Maths tutor
9332 Views