Maximum value of sinx .cos x is
Understanding this is easy: using formula we get 1/2. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get 1/2.
Ref: NCERT Mathematics Class XII — Applications of Derivatives
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If 1 - sin 2x dx = A sinx + B cosx + C, where 0 < x < /4 , then which one of the following is correct?
We know that we verify A + B - 2 = 0 by full calculation: use standard identity, substitute, simplify step by step to reach A + B - 2 = 0.
Ref: NCERT Mathematics Class XII — Integrals
