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which-of-the-following-are-correct-int-0-pi-a-f-sin-x-dx-frac



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Q1.
Answer the following based on the following statements:

Assertion : π/20sinxsinx+cosxdx=π4

Reason: a0f(x)dx=a0f(ax)dx

  1. Both Assertion and Reason are correct and R is the correct explanation of Assertion
  2. Both Assertion and Reason are correct and R is not the correct explanation of Assertion 
  3. Assertion is true and Reason is false
  4. Assertion is false and Reason is true
Q2.
Consider the integrals
A=π0sinxdxsinx+cosx and B=π0sinxdxsinxcosx
Which one of the following is correct?
  1. A=2B
  2. B=2A
  3. A=B
  4. A=3B
Q3.
If An=π/20sin(2n1)xsinxdx;Bn=π/20(sinnxsinx)2dx; for nN, then
  1. An+1=An
  2. An+1An=Bn+1
  3. Bn+1Bn=An+1
  4. Bn+1=Bn
Q4.
If I=ππsin2x1+axdx,a>0 then I equals
  1. π2
  2. π
  3. aπ
  4. aπ2
Q5.
If π0sinxx2dx,thenπ/20cos2xxdx is equal to :
  1. 1A
  2. 3/2A
  3. A1
  4. 1+A

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