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Definite integration and area under a curve
60 questions
Lesson
Not started
Mark as done
∫
1
2
1
x
2
d
x
\displaystyle\int_1^2 \dfrac{1}{x^2}\; dx
∫
1
2
x
2
1
d
x
is equal to
Circle your answer.
A
−
1
2
-\dfrac{1}{2}
−
2
1
B
1
2
\dfrac{1}{2}
2
1
C
ln
2
\ln 2
ln
2
D
3
8
\dfrac{3}{8}
8
3
●
●●●●
Level 1
1 mark
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→
Mark as done
∫
0
ln
2
e
2
x
d
x
\displaystyle\int_0^{\ln 2} e^{2x}\,\mathrm{d}x
∫
0
l
n
2
e
2
x
d
x
is equal to
Circle your answer.
A
3
2
\dfrac{3}{2}
2
3
B
3
3
3
C
1
2
\dfrac{1}{2}
2
1
D
2
ln
2
2\ln 2
2
ln
2
●
●●●●
Level 1
1 mark
Start
→
Mark as done
∫
0
1
1
2
x
+
1
d
x
\displaystyle\int_0^1 \dfrac{1}{2x + 1}\;\mathrm{d}x
∫
0
1
2
x
+
1
1
d
x
is equal to
Circle your answer.
A
ln
3
\ln 3
ln
3
B
1
2
ln
3
\dfrac{1}{2}\ln 3
2
1
ln
3
C
2
ln
3
2\ln 3
2
ln
3
D
ln
1
3
\ln\dfrac13
ln
3
1
●
●●●●
Level 1
1 mark
Start
→
Integrating standard functions
39 questions
Lesson
Not started
Mark as done
∫
0
ln
2
e
2
x
d
x
\displaystyle\int_0^{\ln 2} e^{2x}\,\mathrm{d}x
∫
0
l
n
2
e
2
x
d
x
is equal to
Circle your answer.
A
3
2
\dfrac{3}{2}
2
3
B
3
3
3
C
1
2
\dfrac{1}{2}
2
1
D
2
ln
2
2\ln 2
2
ln
2
●
●●●●
Level 1
1 mark
Start
→
Mark as done
∫
0
1
1
2
x
+
1
d
x
\displaystyle\int_0^1 \dfrac{1}{2x + 1}\;\mathrm{d}x
∫
0
1
2
x
+
1
1
d
x
is equal to
Circle your answer.
A
ln
3
\ln 3
ln
3
B
1
2
ln
3
\dfrac{1}{2}\ln 3
2
1
ln
3
C
2
ln
3
2\ln 3
2
ln
3
D
ln
1
3
\ln\dfrac13
ln
3
1
●
●●●●
Level 1
1 mark
Start
→