Indefinite Integrals PYQs - Last 10 Years
JEE Advanced / Mathematics / Calculus / 6 recent questions
MathematicsCalculus2003-2012
Practice 6 JEE Advanced Mathematics questions from Indefinite Integrals. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
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Mathematics / Calculus
2005-2012
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6
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2003-2012
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2 in last 5 years6 in last 10 years
Last 10 Years Indefinite Integrals Questions
Showing 6 of 6 filtered questions.
1Indefinite Integrals
The integral $\int \frac{\sec ^2 x}{(\sec x+\tan x)^{9 / 2}} d x$ equals (for some arbitrary constant \(K\))
MCQ+4 / -12012
2Indefinite Integrals
Let \(I = \int {{{{e^x}} \over {{e^{4x}} + {e^{2x}} + 1}}dx,\,\,J = \int {{{{e^{ - x}}} \over {{e^{ - 4x}} + {e^{ - 2x}} + 1}}dx.} }\) Then
for an arbitrary constant \(C\), the value of \(J -I\) equals :
for an arbitrary constant \(C\), the value of \(J -I\) equals :
MCQ+3 / -12008
3Indefinite Integrals
Let \(f(x)=\frac{x}{\left(1+x^{n}\right)^{1 / n}}\) for \(n \geq 2\) and \(g(x)=\underbrace{(f o f o \ldots . o f)}_{f \text { occurs } n \text { times }}(x)\). Then \(\int x^{n-2} g(x) d x\) equals :
MCQ+3 / -12007
4Indefinite Integrals
Let \(F(x)\) be an indefinite integral of \(si{n^2}x.\)
STATEMENT-1: The function \(F(x)\) satisfies \(F\left( {x + \pi } \right) = F\left( x \right)\)
for all real \(x\). because
STATEMENT-2: $${\sin ^2}\left( {x + \pi } \right) = {\sin ...
STATEMENT-1: The function \(F(x)\) satisfies \(F\left( {x + \pi } \right) = F\left( x \right)\)
for all real \(x\). because
STATEMENT-2: $${\sin ^2}\left( {x + \pi } \right) = {\sin ...
MCQ+3 / -0.752007
5Indefinite Integrals
$\int \frac{x^2-1}{x^3 \sqrt{2 x^4-2 x^2+1}} d x$ is equal to
MCQ+3 / -12006
6Indefinite Integrals
If \(\int\limits_{\sin x}^1 {{t^2}f\left( t \right)dt = 1 - \sin x,}\) then f\(\left( {{1 \over {\sqrt 3 }}} \right)\) is
MCQ+3 / -0.752005