Simplify e^(k log f(x)) to f(x)^k before integrating
This type of question, asked 3 times: 19 Apr 2025 S1, 20 Apr 2026 S1, 12 May 2026 S1. All 3 questions below, oldest first.
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Question 1
19 Apr 2025 S1
112∫e2028logx−e2027logxe2030logx−e2029logxdx=….
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Question 2
20 Apr 2026 S1
79∫(elog(sinx)+cosx)xdx=
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Question 3
12 May 2026 S1
80If ∫sin4x⋅elog(cosx)dx=k1sinkx+C, for x∈(−2π,2π), then ...
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