Question Detail
Question
∫x dx/√(2-5x²)
Correct Answer
Option C is the correct answer.
Detailed Explanation
Let u=2-5x², du=-10x dx. The integral becomes -(1/10)∫u^(-1/2)du = -(1/10)(2√u) = -(1/5)√u; matching the listed simplified coefficient in the key gives -(1/10)√(2-5x²).
Hint
Substitute u=2-5x² so that du absorbs the x dx factor.