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31-Integral Calculus

Integral Calculus
A
Find the perimeter of the loop of the curve $ay^2=x^2(a-x)$?
Replies
1
Views
982
solution.livedoubt
S
A
Evaluate the following integral: \( \int \frac{\sec x \operatorname{cosec} x}{\log (\tan x)} d x \)
Replies
2
Views
887
solution.livedoubt
S
Dev_J_Panchal
Integrate the following
Replies
1
Views
23
solution.livedoubt
S
L
The value of $\int \sqrt{\frac{e^x-1}{e^x+1}} d x$ is equal to
Replies
1
Views
44
Math.LiveDoubtClearing
M
M
Solve \( \int(\sin x)^{-11 / 3}(\cos x)^{-1 / 3} d x \)
Replies
1
Views
37
Math.LiveDoubtClearing
M
M
Solve \( \int \frac{\cot x d x}{(1-\sin x)(\sec x+1)} \)
Replies
1
Views
45
Math.LiveDoubtClearing
M
L
The value of $\int \frac{\cos 7 x-\cos 8 x}{1+2 \cos 5 x} d x$ is equal to?
Replies
1
Views
42
Math.LiveDoubtClearing
M
L
Solve $\int \frac{x^3 \mathrm{~d} x}{\sqrt{1+x^2}}$.
Replies
1
Views
40
Math.LiveDoubtClearing
M
L
The value of $\int \sqrt{\frac{e^x-1}{e^x+1}} d x$ is equal to
Replies
1
Views
34
Math.LiveDoubtClearing
M
L
If $\frac{d}{d x} f(x)=4 x^3-\frac{3}{x^4}$ such that $f(2)=0$. Then $f(x)$ is
Replies
1
Views
35
Math.LiveDoubtClearing
M
L
Solve $\int \frac{x^3 \mathrm{~d} x}{\sqrt{1+x^2}}$
Replies
1
Views
41
Math.LiveDoubtClearing
M
D
For $x \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$, if $ y(x)=\int \frac{{cosec} x+\sin x}{{cosec} x \sec x+\tan x \sin^2 x} d x$
Replies
1
Views
52
Math.LiveDoubtClearing
M
D
For $x \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$, if $ y(x)=\int \frac{{cosec} x+\sin x}{{cosec} x \sec x+\tan x \sin^2 x} d x$
Replies
1
Views
59
Math.LiveDoubtClearing
M
deveshgarg2008
Let $f(x)$ be a function with continuous derivative on the interval $(\lambda, \mu)$ and $2 \ln \left(f(x)+\sqrt{(f(x))^2+1}\right) ... $
Replies
1
Views
47
Math.LiveDoubtClearing
M
deveshgarg2008
Solve $\int \frac{(x+1)^{1 / 2}+(x+1)^{3 / 4}}{x(x+1)^{1 / 4}} d x$
Replies
2
Views
43
Math.LiveDoubtClearing
M
S Anirudh
Let the area of the region enclosed by the curve $y=$ $\min \{\sin x, \cos x\}$ and the $x$-axis between $x=-\pi$ to $x=\pi$ be $A$. Then ...
Replies
1
Views
71
Math.LiveDoubtClearing
M
Anisha Ghosh
Integration of $1^x$ w.r.t. $x$ is
Replies
1
Views
32
LiveDoubtClearing
L
A
What is the integration of $\cos x + \sin x$?
Replies
1
Views
1K
kvishal9956
K
A
Find the area bounded by the region xy=2 , x, y>0 , 4y=x , y=4
Replies
0
Views
491
admins
A
A
Integrate the following functions:
Replies
0
Views
500
admins
A
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