Check sibling questions

Example 33 - Evaluate sin5 x cos4 x dx - Examples

Example 33 - Chapter 7 Class 12 Integrals - Part 2


Example 33 Evaluate ﷐−1﷮1﷮﷐﷐sin﷮5﷯﷮𝑥﷯﷐﷐cos﷮4﷯﷮𝑥﷯﷯ 𝑑𝑥 This is of form ﷐−𝑎﷮𝑎﷮𝑓﷐𝑥﷯𝑑𝑥 ﷯ where 𝑓﷐𝑥﷯=﷐﷐sin﷮5﷯﷮𝑥﷐﷐cos﷮4﷯﷮𝑥﷯﷯ Finding 𝑓﷐−𝑥﷯ 𝑓﷐−𝑥﷯=﷐﷐sin﷮5﷯﷮﷐−𝑥﷯ .﷐﷐cos﷮4﷯﷮﷐−𝑥﷯﷯ ﷯ 𝑓﷐−𝑥﷯=﷐﷐−﷐sin﷮𝑥﷯﷯﷮5﷯ .﷐﷐cos﷮4﷯﷮ ﷐𝑥﷯﷯ 𝑓﷐−𝑥﷯=﷐﷐−1﷯﷮5﷯﷐﷐sin﷮5﷯﷮𝑥 .﷐﷐cos﷮4﷯﷮𝑥﷯﷯ 𝑓﷐−𝑥﷯=−﷐﷐sin﷮5﷯﷮𝑥 .﷐﷐cos﷮4﷯﷮𝑥﷯﷯ ∴ 𝑓﷐𝑥﷯=−𝑓﷐−𝑥﷯ ∴ ﷐−𝟏﷮𝟏﷮﷐﷐𝐬𝐢𝐧﷮𝟓﷯﷮𝒙﷐﷐𝐜𝐨𝐬﷮𝟒﷯﷮𝒙 𝒅𝒙=𝟎﷯﷯﷯

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.