Edexcel Mathematics October 2020 · Paper 1 · Question 10 · ExamRizz

ExamRizzEdexcel MathematicsMathematics

October 2020 · Paper 1 · Question 10 · 10 marks

10. (a) Use the substitution x = u2 + 1 to show that 3 13 216 32510ddx xxu uupq −() +−()=+() ∫∫ where p and q are positive constants to be found. (4) (b) Hence, using algeb raic integration, show that 3 13 21510dx xxa −() +−()= ∫ln where a is a rational constant to be found. (6) 27 28 29

Lesson: Introduction to Integration (Fundamental Theorem of Calculus)