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Mathematics
Problem
Let
k
k
k
be a nonzero constant. Find
∫
(
7
k
2
x
5
−
4
k
x
2
+
9
)
d
x
\displaystyle \int \bigl(7k^{2}x^{5}-4k x^{2}+9\bigr)\,dx
∫
(
7
k
2
x
5
−
4
k
x
2
+
9
)
d
x
. a)
7
k
2
x
6
6
+
4
k
x
3
3
+
9
x
+
C
\dfrac{7k^{2}x^{6}}{6}+\dfrac{4k x^{3}}{3}+9x+C
6
7
k
2
x
6
+
3
4
k
x
3
+
9
x
+
C
b)
7
k
2
x
6
6
−
4
k
x
3
3
+
9
x
+
C
\dfrac{7k^{2}x^{6}}{6}-\dfrac{4k x^{3}}{3}+9x+C
6
7
k
2
x
6
−
3
4
k
x
3
+
9
x
+
C
c)
7
k
2
x
6
5
−
2
k
x
3
+
9
x
+
C
\dfrac{7k^{2}x^{6}}{5}-2k x^{3}+9x+C
5
7
k
2
x
6
−
2
k
x
3
+
9
x
+
C
d)
(
7
k
2
6
)
x
5
−
(
4
k
3
)
x
2
+
9
x
+
C
\Bigl(\dfrac{7k^{2}}{6}\Bigr)x^{5}-\Bigl(\dfrac{4k}{3}\Bigr)x^{2}+9x+C
(
6
7
k
2
)
x
5
−
(
3
4
k
)
x
2
+
9
x
+
C
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