Question
Mathematics Question on integral
0∫ππf(sinx)dx is equal to
A
π0∫π/2f(cosx)dx
B
π0∫πf(cosx)dx
C
π0∫πf(sinx)dx
D
2π0∫π/2f(sinx)dx
Answer
π0∫π/2f(cosx)dx
Explanation
Solution
Answer (a) π0∫π/2f(cosx)dx
0∫ππf(sinx)dx is equal to
π0∫π/2f(cosx)dx
π0∫πf(cosx)dx
π0∫πf(sinx)dx
2π0∫π/2f(sinx)dx
π0∫π/2f(cosx)dx
Answer (a) π0∫π/2f(cosx)dx