Evaluate : cos x. e x . x 2 dx

Maths Indefinite Integral General Subjective Type

Published on: August 12, 2026

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e x [(x 2 – 1) cos x + (x – 1) 2 . sin x] + C

Sol. Ι =

Ι = x 2

= x 2 – dx

= (cos x + sin x) –

= (cos x + sin x) – –

= (cos x + sin x) – xe x sin x +

= (cos x + sinx) – xe x sin x + (sin x – cosx) + C

= (x 2 – 1) + (x 2 – 2x + 1) + C = ((x 2 – 1) cosx + (x – 1) 2 sinx) + C

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