Exercises for Question Type 2: Applying integration through using the basis integrals alongside their composite transformations in linear functions

Question 1

Skill question

Compute $\int (x sin (4 x + 5) + x e^{3 x}) d x$ .

[6]

Question 2

Skill question

Find $\int x^{2} e^{3 x} d x$ .

[6]

Question 3

Skill question

Find $\int (sin (4 x + 5) - \frac{1}{2} x - 1 + e^{3 x}) d x$ .

[5]

Question 4

Skill question

Find $\int (3 sin (4 x + 5) + 2 e^{3 x} - \frac{x}{2}) d x$ .

[5]

Question 5

Skill question

Compute $\int - \frac{1}{2} x d x$ .

[2]

Question 6

Skill question

Find $\int x^{2} sin (4 x + 5) d x$ .

[5]

Question 7

Skill question

Find $\int e^{3 x} d x$ .

[2]

Question 8

Skill question

Find $\int e^{3 x} sin (4 x + 5) d x$ .

[6]

Question 9

Skill question

Compute $\int sin (4 x + 5) d x$ .

[3]

Question 10

Skill question

Find $\int x sin (4 x + 5) d x$ .

[6]

Question 11

Skill question

Find $\int x e^{3 x} d x$ .

[5]

Question 12

Skill question

Compute $\int - 1 d x$ .

[1]

IB Mathematics Analysis and Approaches Question Type 2: Applying Integration Through Using the Basis Integrals Alongside Their Composite Transformations in Linear Functions Exercises