Phrases Previous Year Questions (PYQs) – Definite Integration – Page 1 of 3

Phrases Previous Year Questions (PYQs) – Definite Integration – Page 1 of 3

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If  then x =

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If In=∫0π/4tannθdθ , then I8+I6 equals

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The value of the integral ∫0π/2sinxsinx+cosxdx is

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Not Available


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If a<b then ∫ab(|x−a|+|x−b|)dx is equal to

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Which of the following is TRUE?
A. If f is continuous on [a,b], then ∫abxf(x)dx=x∫abf(x)dx
B. ∫03ex2dx=∫05ex2dx+∫35ex2dx
C. If f is continuous on [a,b], then ddx(∫abf(x)dx)=f(x)
D. Both (a) and (b)

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If for non-zero x, cf(x)+df(1x)=|log⁡|x||+3, where c≠0, then ∫1ef(x)dx=

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 is equal to


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Let be defined by . Find 

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The value of ddx∫sin⁡x22sin⁡xet2dt at x=π

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