Integration using Partial Fractions (Edexcel A-Level Mathematics): Quizzes

📚Quizzes
Revision NotesModel AnswersQuizzesFlashcardsExam Questions
Integration using Partial Fractions
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

What is a rational function?

A fraction with polynomial num. & denom.

What is the first step when integrating using partial fractions?

Factor the denominator

For 1(x+4)(x−4)\frac{1}{(x+4)(x-4)}, what is the partial fraction form?

Ax+4+Bx−4\frac{A}{x+4} + \frac{B}{x-4}

A denominator of x2+ax^2 + a leads to what partial fraction form?

Ax+Bx2+a\frac{Ax + B}{x^2 + a}

To find AA in 1=A(x−4)+B(x+4)1 = A(x-4) + B(x+4), which substitution works best?

Let x=−4x = -4

What is ∫1x+4dx\int \frac{1}{x+4} dx equal to?

ln⁡∣x+4∣+c\ln|x+4| + c

Simplify: ln⁡∣x−4∣−ln⁡∣x+4∣\ln|x-4| - \ln|x+4|

ln⁡∣x−4x+4∣\ln|\frac{x-4}{x+4}|

For 20(x+3)(x2+1)\frac{20}{(x+3)(x^2+1)}, what form should partial fractions take?

Ax+3+Bx+Cx2+1\frac{A}{x+3} + \frac{Bx+C}{x^2+1}

How many steps are in the partial fractions integration method?

4 steps

For x4+xx4+5x2+6\frac{x^4 + x}{x^4 + 5x^2 + 6}, what must be done first?

Rewrite using polynomial division

Explore Edexcel A-Level Mathematics Revision Notes by Topics

Integration

Further Integration

Differential Equations

Explore Edexcel A-Level Mathematics Model Answers by Topics

Integration

Further Integration

Differential Equations

Explore Edexcel A-Level Mathematics Flashcards by Topics

Integration

Further Integration

Differential Equations

Explore Edexcel A-Level Mathematics Exam Questions by Topics

Integration

Further Integration

Differential Equations

Join 100,000+ A-Level students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.