Let be a nonzero constant

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

Let

k

be a nonzero constant. Find

\displaystyle \int \bigl(7k^{2}x^{5}-4k x^{2}+9\bigr)\,dx

. (a)

\dfrac{7k^{2}x^{6}}{6}+\dfrac{4k x^{3}}{3}+9x+C

(b)

\dfrac{7k^{2}x^{6}}{6}-\dfrac{4k x^{3}}{3}+9x+C

(c)

\dfrac{7k^{2}x^{6}}{5}-2k x^{3}+9x+C

(d)

\Bigl(\dfrac{7k^{2}}{6}\Bigr)x^{5}-\Bigl(\dfrac{4k}{3}\Bigr)x^{2}+9x+C