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16-Definite Integrals

Definite Integrals

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How to prepare for Definite Integrals for JEE
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1
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6
yoogesh_tambe
yoogesh_tambe
K
Integration: $\int \frac{3 e^x+5 e^{-x}}{4 e^x-5 e^{-x}} d x$
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1
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28
patelrahul
patelrahul
K
$f(x)=\cos ^{-1}\left(\frac{1+x^2}{2 x}\right)+\sqrt{2-x^2}$ find Range ?
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3
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40
Amodini
Amodini
A
If \(\vec{F}=\left(2x+y\right)\hat{i}+\left(3y-x\right)\hat{j}\). Evaluate \(\int_{c}\vec{F}\cdot dr\), where C is the curve \(y=x^3\) in the \( x y\)
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2
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985
Rishav05
Rishav05
Shashank Sangle
Integration of Greatest Integer Function
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4
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75
Shashank Sangle
Shashank Sangle
Shashank Sangle
Integration of Polynomial function.
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2
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27
Shashank Sangle
Shashank Sangle
Shashank Sangle
Integration of Trigonometric function.
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2
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31
Shashank Sangle
Shashank Sangle
Shashank Sangle
Interval of Integral Function
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2
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24
Shashank Sangle
Shashank Sangle
Shashank Sangle
Integration of Greatest Integer Function
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2
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17
Shashank Sangle
Shashank Sangle
Shashank Sangle
Expressing Integral function as a sum of Integral functions with different limits.
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1
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22
solution.livedoubt
S
Shashank Sangle
Integral of Logarithmic function
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2
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28
Shashank Sangle
Shashank Sangle
S Anirudh
The value of $2^{2010} \frac{\int_0^1 x^{1004}(1-x)^{1004} d x}{\int_0^1 x^{1004}\left(1-x^{2010}\right)^{1004} d x}$
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1
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32
solution.livedoubt
S
E
Let for $f(x)=7 \tan ^8 x+7 \tan ^6 x-3 \tan ^4 x-3 \tan ^2 x, \quad \mathrm{I}_1=\int_0^{\pi / 4} f(x) \mathrm{d} x$
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1
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31
solution.livedoubt
S
jhahnavi
How to break integrals in this question with respect to the gif given
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1
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62
solution.livedoubt
S
Anish
Let $f$ be a real valued continuous function on $[0,1]$ and $f(x)=x+\int_0^1(x-t) f(t) d t$.
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1
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39
solution.livedoubt
S
D
Solve: $\int_0^{\frac{1}{2}} \frac{d x}{\left(1+x^2\right) \sqrt{1-x^2}}$
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1
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33
solution.livedoubt
S
Shashank Sangle
The minimum value of the function $f(x)=\int_0^2 e^{|x-t|} d t$ is
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2
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43
solution.livedoubt
S
M
Let \( \mathrm{I}_{1}=\int_{0}^{1} \frac{e^{x} d x}{1+x} \) and \( I_{2}=\int_{0}^{1} \frac{x^{2} d x}{e^{x^{3}}\left(2-x^{3}\right)} \), then
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1
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73
solution.livedoubt
S
Sourav Jena
Let $g(t)=\int_{-\pi / 2}^{\pi / 2} \cos \left(\frac{\pi}{4} t+f(x)\right) d x$, where $f(x)=\log _e\left(x+\sqrt{x^2+1}\right), x \in R$.
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1
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75
Math.LiveDoubtClearing
M
DynamicVeer
\(\int_2^3\frac{2 x^{2}}{x^{4}+3 x^{2}+1}dx\) is equal to
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1
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53
Math.LiveDoubtClearing
M
DynamicVeer
The value of \( \int_{0}^{a} \frac{x^{4}}{\left(a^{2}+x^{2}\right)^{4}} d x \) is
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1
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47
Math.LiveDoubtClearing
M
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