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TS EAMCET · Maths · Definite Integration

0π2cos3xsinx+cosxdx=

  1. A π-12
  2. B π-14
  3. C 1+π4
  4. D π-34
Verified Solution

Answer & Solution

Correct Answer

(B) π-14

Step-by-step Solution

Detailed explanation

I=∫0π2cos3xsinx+cosxdx   …1 ∴I=∫0π2cos3π2-xsinπ2-x+cosπ2-xdx ∴I=∫0π2sin3xcosx+sinxdx   …2 Adding 1 and 2 we have 2I=∫0π2sin3x+cos3xsinx+cosxdx…