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Definite Integration · 2021 · 26 Feb · Shift 2

3 Mathematics questions from this JEE Main paper
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Definite Integration · 2021 · 26 Feb · Shift 2

3 Mathematics questions from this JEE Main paper

  1. Q31.Let f(x)=0∫x​etf(t)dt+ex be a differentiable function for all x ∈ R. Then f(x) equals :
    Mathematics · Definite Integration · MCQ
  2. Q32.For x > 0, if f(x)=1∫x​(1+t)loge​t​dt, then f(e)+f(e1​) is equal to :
    Mathematics · Definite Integration · MCQ
  3. Q45.If Im,n​=0∫1​xm−1(1−x)n−1dx, for m, n≥1, and 0∫1​(1+x)m+1xm−1+xn−1​dx=αIm,n​α∈R, then α equals ​…
    Mathematics · Definite Integration · Numerical