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TS EAMCET · Maths · Indefinite Integration

0π2x3sinxdx=

  1. A 3π24-3π+6
  2. B 3π24+3π-6
  3. C 3π24+6
  4. D 3π24-6
Verified Solution

Answer & Solution

Correct Answer

(D) 3π24-6

Step-by-step Solution

Detailed explanation

J=∫0π2x3sinxdx=(−x3cosx)0π2+∫0π23x2cosxdx =0+3{(x2sinx)0π2−∫0π22xsinxdx} =3{(π24)−2{(−2cosx)0π2+∫0π2cosx}} =3(π24−2×1)=3π24−6