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Practice: Trig Sub
Related Topics
Wize University Calculus 2 Textbook > Integration Techniques
Trig Sub
4 Activities
Practice: Trig Sub
Evaluate
∫
0
1
x
4
−
x
2
d
x
\displaystyle\int_0^1\frac{x}{\sqrt{4-x^2}}dx
∫
0
1
4
−
x
2
x
d
x
*You can technically use a u-substitution for this question, but try to use trig sub for additional practice
1
2
\frac{1}{2}
2
1
5
2
\frac{5}{2}
2
5
−
3
+
2
-\sqrt{3}+2
−
3
+
2
3
2
+
3
\frac{\sqrt{3}}{2}+3
2
3
+
3
3
−
3
3
2
3-\frac{3\sqrt{3}}{2}
3
−
2
3
3
I don't know
Check Submission
More Trig Sub Questions:
Practice Question: Trig Sub (w/ completing the square)
Find
∫
1
x
2
−
2
x
−
3
d
x
{\displaystyle\int}\frac{1}{\sqrt{x^2-2x-3}}\de{x}
∫
x
2
−
2
x
−
3
1
d
x
.
Practice: Trig Sub
Evaluate
∫
0
1
x
4
−
x
2
d
x
\displaystyle\int_0^1\frac{x}{\sqrt{4-x^2}}dx
∫
0
1
4
−
x
2
x
d
x
*You can technically use a u-substitution for this question, but try to use trig sub for additional practice
Practice Question: Trig Sub (w/ completing the square)
Find
∫
1
x
2
−
2
x
−
3
d
x
{\displaystyle\int}\frac{1}{\sqrt{x^2-2x-3}}\de{x}
∫
x
2
−
2
x
−
3
1
d
x
.
Practice: Trig Sub
Practice: Trig Sub
Evaluate
∫
0
1
x
4
−
x
2
d
x
\displaystyle\int_0^1\frac{x}{\sqrt{4-x^2}}dx
∫
0
1
4
−
x
2
x
d
x
*You can technically use a u-substitution for this question, but try to use trig sub for additional practice
Practice Question: Trig Sub (w/ completing the square)
Practice Question
Find
∫
1
x
2
−
2
x
−
3
d
x
{\displaystyle\int}\frac{1}{\sqrt{x^2-2x-3}}\de{x}
∫
x
2
−
2
x
−
3
1
d
x
.