Integral Calculus Question 89
Question: To find the value of $ \int_{{}}^{{}}{\frac{dx}{x\sqrt{2ax-x^{2}}}} $ , the suitable substitution is
Options:
A) $ x=a\cos t $
B) $ x=2a\cos t $
C) $ x=2at $
D) $ x=2a{{\sin }^{2}}t $
Show Answer
Answer:
Correct Answer: D
Solution:
To evaluate $ \int_{{}}^{{}}{\frac{dx}{x\sqrt{2ax-x^{2}}}}, $ the suitable substitution is $ (2a{{\sin }^{2}}t=x). $
BETA
