Exercises for Question Type 1: Integrating a polynomial without boundary conditions

Question 1

Skill question

Evaluate the indefinite integral.

Evaluate $\int (12 x^{8} - 4 x^{4} + 9 x^{2} - 3) d x$ .

[3]

Question 2

Skill question

No specification provided

First expand and then integrate: $\int (3 x^{3} + 2 x^{2}) (x + 1) d x$ .

[4]

Question 3

Skill question

Find the indefinite integral of $9 x^{4} + 16 x^{3} + 1$ .

[4]

Question 4

Skill question

Compute $\int (2 x^{6} - 3 x^{3} + 4) d x$ . [4 marks]

[4]

Question 5

Skill question

Calculus - Indefinite Integration

Evaluate the indefinite integral of $7 x^{5} + x^{3} - 4 x$ .

[3]

Question 6

Skill question

Evaluate $\int (x^{7} - x^{2} + 2 x - 8) d x$ .

[4]

Question 7

Skill question

Evaluate the indefinite integral of $15 x^{9} - 6 x^{5} + x^{2} - 7$ .

[6]

Question 8

Skill question

Find the indefinite integral of $5 x^{3} + 8 x^{2} + 9 x + 3$ .

[4]

Question 9

Skill question

Find $\int (0.5 x^{3} - 2 x^{2} + 4 x - 1) d x$ .

[2]

Question 10

Skill question

Find $\int (- 3 x^{2} + 5 x - 1) d x$ .

[4]

Question 11

Skill question

Find $\int (- 5 x^{5} + 3 x^{2} - 7 x + 2) d x$ .

[4]

Question 12

Skill question

Compute $\int (4 x^{4} - 2 x + 6) d x$ .

[5]

IB Mathematics Analysis and Approaches Question Type 1: Integrating a Polynomial Without Boundary Conditions Exercises