Let f(x) be a function satisfying fโฒ(x)=f(x) with f(0)=1 and g(x) be a function that satisfies f(x)+g(x)=x2. Then the value of the integral โซ01โf(x)g(x)dx, is:
Q5mediummcqMathematicsAIEEE-CBSE-ENG-032026
Let dxdโF(x)=xesinxโ, x>0. If โซ14โx3esinx3โdx=F(k)โF(1), then one of the possible values of k, is:
Q6mediummcqMathematicsAIEEE-CBSE-ENG-032026
limnโโโ[n413+23+33+โฏ+n3โ]โlimnโโโ[n514+24+34+โฏ+n4โ] is:
Q7mediummcqMathematicsAIEEE-CBSE-ENG-032026
The value of the integral I=โซ01โx(1โx)ndx is:
Q8mediummcqMathematicsAIEEE-CBSE-ENG-032026
The value of limxโ0โxsinxโซ0x2โsec2tdtโ is:
Q9mediummcqMathematicsAIEEE-CBSE-ENG-032026
If f(a+bโx)=f(x), then โซabโxf(x)dx is equal to:
Q10mediummcqMathematicsAIEEE2026
โซ{1+(logx)2(logxโ1)โ}2dx is equal to:
Q11mediummcqMathematicsAIEEE 20042004
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The value of โซโ23โโฃ1โx2โฃdx is
Q12hardmcqMathematicsAIEEE 20042004
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If โซ0ฯโxf(sinx)dx=Aโซ0ฯ/2โf(sinx)dx, then A is
Q13mediummcqMathematicsAIEEE 20042004
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โซcosxโsinxdxโ is equal to
Q14hardmcqMathematicsAIEEE 20042004
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If f(x)=1+exexโ,I1โ=โซf(โa)f(a)โxg{x(1โx)}dx and I2โ=โซf(โa)f(a)โg{x(1โx)}dx, then the value of I1โI2โโ is
Q15mediummcqMathematicsAIEEE 20042004
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If โซsin(xโฮฑ)sinxโdx=Ax+Blogsin(xโฮฑ)+C, then value of (A,B) is
Q16mediummcqMathematicsAIEEE 20042004
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limnโโโโr=1nโn1โenrโ is
Q17mediummcqMathematicsAIEEE 20042004
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The area of the region bounded by the curves y=โฃxโ2โฃ,x=1,x=3 and the x -axis is
Q18mediummcqMathematicsAIEEE 20042004
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The value of I=โซ0ฯ/2โ1+sin2xโ(sinx+cosx)2โdx is
AIEEE Integration โ FAQ
How many Integration questions come in AIEEE?โผ
Our database has 18 Integration questions from AIEEE covering 2004 to 2026.
What difficulty are AIEEE Integration questions?โผ
The 18 AIEEE Integration questions include 0 easy, 16 medium and 2 hard level questions.
Where can I find more Integration questions for other exams?โผ
Visit /tag/integration to see all Integration questions across all exams including AIEEE 2004, AIEEE-CBSE-ENG-03, Mathematics Mock Test - 10.