367
Answers
501–600
Answers and Explanations
580.
36
11
11 6
x
C
+
Begin by rewriting the radicals using exponential notation. Then use an elementary
antiderivative formula and simplify:
6
6
6
6 11 6
36
11
3
1 2 1 3
5 6
11 6
11 6
x xdx
x x dx
x dx
x
x
C
∫
∫
∫
=
=
=
=
+
581.
2 5
3
3 2
x
C
+
Rewrite the integrand using exponential notation and factor out the constant. Then use
elementary antiderivative formulas:
5
5
5
5 3 2
2 5
3
1 2
3 2
3 2
xdx
xdx
x dx
x
C
x
C
∫
∫
∫
=
=
=
+
=
+
582.
6 4
5
6
5 6
x
C
+
Begin by writing the radical using exponential notation:
4
4
4 1
4
6
6
6
6
1 6
6
1 6
x
dx
x
dx
x
dx
x dx
∫
∫
∫
∫
=
=
=
−
Then use an elementary antiderivative formula:
4
4 5 6
6 4
5
6
1 6
6
5 6
6
5 6
x dx
x
C
x
C
−
∫
=
+
=
+