Further integration — Question 176

Original QCE Vault practice · 1 mark

Q176 · Practice questionTechnology-freeSimple familiar1 mark

QUESTION 176

Given

\displaystyle\int_0^2 f(x)\,dx=5

and

\displaystyle\int_2^5 f(x)\,dx=-1

, determine

\displaystyle\int_0^5 f(x)\,dx

(A)

-6

(B)

4

(C)

5

(D)

6

ABCD

WORKED SOLUTION

1 mark

ANSWER

Worked solution

\int_0^5 f(x)\,dx=\int_0^2 f(x)\,dx+\int_2^5 f(x)\,dx=5+(-1)=4

Selects the correct option.

[1 mark]

Practice question aligned to the current QCAA syllabus; review the worked solution and marking criteria.