Evaluate ∫ 2x sin (x2 + 1) dx on x ∈ R.

1.	Evaluate ∫ 2x sin (x2 + 1) dx on x ∈ R.
Answer» ∫ 2x. sin (x² + 1) dx t = x² + 1 ⇒ dt = 2x dx ∫ 2x. sin (x² + 1) dx = ∫ sin t dt = – cos t + C = – cos (x² + 1) + C

Answer»

∫ 2x. sin (x² + 1) dx

t = x² + 1

⇒ dt = 2x dx

∫ 2x. sin (x² + 1) dx

= ∫ sin t dt = – cos t + C

= – cos (x² + 1) + C

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Evaluate ∫ 2x sin (x2 + 1) dx on x ∈ R.

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