Dark mode

Further integration — Question 56

Original QCE Vault practice · 1 mark

Q56 · Practice questionTechnology-freeSimple familiar1 mark

QUESTION 56

Evaluate

\displaystyle\int_0^1 e^{2x}\,dx

.

(A)

e^2-1

(B)

\dfrac{e-1}{2}

(C)

\dfrac{e^2}{2}

(D)

\dfrac{e^2-1}{2}

ABCD

Question linkSyllabus coverage

WORKED SOLUTION

Answer D

1 mark

ANSWER

D

Worked solution

\int e^{2x}dx=\frac12e^{2x}

, so the value is

\frac{e^2-1}{2}

.

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

Q6 · Original practice · 1 mark
Evaluate $\displaystyle\int_0^2 3x^2\,dx$ .
Further integration
Q16 · Original practice · 1 mark
An antiderivative of $\dfrac{2x}{x^2+5}$ is
Further integration
Q31 · Original practice · 3 marks
Evaluate $\displaystyle\int_0^1\frac{4x}{x^2+1}\,dx$ .
Further integration
Q41 · Original practice · 3 marks
For $0\le x\le1$ , the graph $y=kx(1-x)$ lies above the $x$ -axis. The area between the graph and the $x$ -axis is 2 square units. Determine $k$ .
Further integration