Home › UP Board Class 12 › mathematics › Integrals › By Walli's formula, ∫_0^(π/2) sin^4(x) dx equals:
By Walli's formula, ∫_0^(π/2) sin^4(x) dx equals:
A$3\pi/16$ (using even n formula)
B$\pi/4$ (incorrect calculation)
C$\pi/8$ (using odd n formula)
D$\pi/2$ (full quarter)
Answer & Solution
Correct answer: A. $3\pi/16$ (using even n formula)
Walli's for n = 4 (even): = (3/4)(1/2)(π/2) = 3π/16. For odd n: omit the π/2 factor.
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