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integrate the following: 2x^4 - 4/sqrt(x) +3 with respect to x

The 3 terms of this equation can be integrated separately. The general integration of xⁿ is (xⁿ⁺¹)/n+1 where n is a real number not equal to -1. This can be applied to the terms 2x

Answered by Adrien F. • Maths tutor

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All tickets for a concert are at the same price. Amy and Dan pay £63 altogether for some tickets. Amy pays £24.50 for 7 tickets. How many tickets does Dan buy?

Firstly, we translate the information give into Maths equation. Therefore, A+D=£63 (the amount of many the spend on the tickets). Given the amount spent by Amy, we can find the total amount Dan spends: D=...

Answered by Raluca L. • Maths tutor

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Solve these simultaneous equations and find the values of x and y. Equation 1: 2x + y = 7 Equation 2: 3x - y = 8

We have two reliable methods of solving this simultaneous equation. We can either eliminate the variables (x or y) directly, or make one of the variables the subject of the equation. I will show you how t...

Answered by Quincy W. • Maths tutor

2742 Views

Why is the derivative of the exponential function itself?

The exponential function is defined as a power series, which we may (for reasons that are beyond the scope of A-level) differentiate term by term to get another power series. The general term of the serie...

Answered by George B. • Maths tutor

3902 Views

evaluate the integral of lnx

this is an example of an integration by parts problem, we must use integration by parts to evaluate this integral;although this would not be entirely obvious as the integral does not seem to be the produc...

Answered by Aaron R. • Maths tutor

2765 Views