Question
Mathematics Question on Integrals of Some Particular Functions
If ∫x+x7dx=p(x) then, ∫x+x7x6dx is equal to:
A
In∣x∣−p(x)+c
B
In∣x∣+p(x)+c
C
x−p(x)+c
D
x+p(x)+c
Answer
In∣x∣−p(x)+c
Explanation
Solution
∫x+x7x6dx=∫x(1+x6)x6dx
=∫x(1+x6)(1+x6)−1dx
=∫x1dx−∫x+x71dx
=In∣x∣−p(x)+c