Find the integral of the following functions with respect to x: (a) sinx sin2x​

Question

Find the integral of the following functions with respect to x:

(a) sinx sin2x​

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Josephine 1 day 2021-10-12T14:18:35+00:00 1 Answer 0 views 0

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    2021-10-12T14:20:20+00:00

    = ∫ sinx sin2x dx

    = 1/2 ∫ 2sinx sin2x dx

    { 2sinAsinB = cos (A–B) – cos (A+B) }

    = 1/2 ∫ cos ( 2x – x ) – cos ( 2x + x ) dx

    = 1/2 ∫ ( cosx – cos3x ) dx

    = 1/2 [ sinx – sin3x/3 ] + C

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