We demonstrate that, in general, you cannot obtain an antiderivative of a product of functions by taking
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We demonstrate that, in general, you cannot obtain an antiderivative of a product of functions by taking a product of antiderivatives of each.
Show that G(x) = 4x2(− cos x) is not an antiderivative of ƒ(x) = 8x sin x but H(x) = −8x cos x + 8 sin x is.
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Let Gx 4x cos x Then Gx 8x cos x 4x sin x 8x ...View the full answer
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