MYTUTOR SUBJECT ANSWERS

344 views

Find the integral between 4 and 1 of x^(3/2)-1 with respect to x

When we integrate a function we must first raise the power of x in each term by one. The first term therefore becomes x^(5/2). The second term can be thought of as x^0 which we know that any number to the power zero is equal to 1, so the second term becomes x. We must then divide by the new power of x. In the first term we have 1 divided by 5/2 which is equal to 2/5 and in the second term we have -1 divided by 1 which is still equal to -1. Because the integral has limits we do not need to include an integration constant. The integrated expression is (2/5)x^(5/2) - x. The next step in solving this problem is to substitute the limits into the equation. What we do here is take away the value of our integrated function at the lower bound from the value of the integrated function at the upper bound. This gives us the calculation ((2/5) x 4^(5/2) - 4) - ((2/5) x 1^(5/2) - 1). This can be evaluated on your calculator to give 9.4.

Alex B. IB Maths tutor, GCSE Maths tutor, A Level Maths tutor, 11 Plu...

8 months ago

Answered by Alex, an A Level Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

294 SUBJECT SPECIALISTS

£20 /hr

Andrew G.

Degree: Physics (Bachelors) - Exeter University

Subjects offered:Maths, Physics

Maths
Physics

“About Me: I am Physics student studying at University of Exeter. I have a real passion for my subject and would love the opportunity to pass on some of my knowledge and experiences. As well as making tough subjects fun and easy to und...”

MyTutor guarantee

£30 /hr

Will H.

Degree: Engineering Design (Masters) - Bristol University

Subjects offered:Maths

Maths

“My sessions are based around worked examples as it's without a doubt the best way to learn how to tackle mathematical concepts! ”

MyTutor guarantee

PremiumJacan C. A Level Maths tutor, A Level Physics tutor, GCSE Physics tut...
£36 /hr

Jacan C.

Degree: Theoretical Physics (Masters) - York University

Subjects offered:Maths, Science+ 3 more

Maths
Science
Physics
Further Mathematics
Chemistry

“Helping the striving and the struggling with caring, friendly and structured tuition. With 200+ hours of experience, offering Physics, Maths and Chemistry.”

About the author

£26 /hr

Alex B.

Degree: Physics (Masters) - Durham University

Subjects offered:Maths, Physics

Maths
Physics

“About me: I’m Alex and I have just completed my first year studying physics at Durham University, with a first. I have a passion for mathematics and how it can be applied to solve problems in physics. Throughout my A levels, other stu...”

You may also like...

Other A Level Maths questions

Derive from the standard quadratic equation, the form of the quadratic solution

How do you add or subtract complex numbers?

How do I solve equations like 3sin^2(x) - 2cos(x) = 2

A curve has parametric equations x = 2 sin θ, y = cos 2θ. Find y in terms of x

View A Level Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok