Introduction to integration — Question 116

Original QCE Vault practice · 1 mark

Q116 · Practice questionTechnology-freeSimple familiar1 mark

QUESTION 116

An antiderivative of

5e^{2x}-\dfrac{3}{x}

, for

x>0

, is

(A)

10e^{2x}-3\ln x+C

(B)

\dfrac52e^{2x}-3\ln x+C

(C)

\dfrac52e^{2x}-\dfrac{3}{x^2}+C

(D)

5e^{2x}-3\ln x+C

ABCD

WORKED SOLUTION

1 mark

ANSWER

Worked solution

\int5e^{2x}dx=(5/2)e^{2x}

and

\int(-3/x)dx=-3\ln x

Selects the correct option.

[1 mark]

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