Dark mode

Introduction to integration — Question 166

Original QCE Vault practice · 1 mark

Q166 · Practice questionTechnology-freeSimple familiar1 mark

QUESTION 166

An antiderivative of

4e^x-3\sin x

is

(A)

4e^x-3\cos x+C

(B)

4e^x+3\cos x+C

(C)

4e^x+3\sin x+C

(D)

e^x+3\cos x+C

ABCD

Question linkSyllabus coverage

WORKED SOLUTION

Answer B

1 mark

ANSWER

B

Worked solution

\int(4e^x-3\sin x)\,dx=4e^x+3\cos x+C

.

Selects the correct option.

[1 mark]

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

View the QCAA syllabus

Related questions

Q4 · Original practice · 1 mark
An antiderivative of $6x^2-4x+1$ is
Introduction to integration
Q14 · Original practice · 1 mark
A particle has velocity $v(t)=3t^2-4t+2$ . Its displacement from $t=0$ to $t=2$ is
Introduction to integration
Q24 · Original practice · 1 mark
A differentiable function satisfies $f'(x)=3x^2-2$ and $f(1)=4$ . Determine $f(2)$ .
Introduction to integration
Q29 · Original practice · 2 marks
Evaluate $\displaystyle\int_1^3(2x+1)\,dx$ .
Introduction to integration