31-Integral Calculus

Integral Calculus

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Find the area bounded by the region xy=2 , x, y>0 , 4y=x , y=4
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719
sudha
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What is the integration of $\cos x + \sin x$?
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2
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2K
Sneha Duhan
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Integrate the following functions:
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2
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674
Sneha Duhan
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Find the perimeter of the loop of the curve $ay^2=x^2(a-x)$?
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1
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1K
solution.livedoubt
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Evaluate the following integral: \( \int \frac{\sec x \operatorname{cosec} x}{\log (\tan x)} d x \)
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2
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1K
solution.livedoubt
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Dev_J_Panchal
Integrate the following $\int \frac{\log _e x}{x \sqrt{1+\log _e x}} d x=$
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1
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159
solution.livedoubt
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The value of $\int \sqrt{\frac{e^x-1}{e^x+1}} d x$ is equal to
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1
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147
Math.LiveDoubtClearing
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M
Solve \( \int(\sin x)^{-11 / 3}(\cos x)^{-1 / 3} d x \)
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1
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320
Math.LiveDoubtClearing
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M
Solve \( \int \frac{\cot x d x}{(1-\sin x)(\sec x+1)} \)
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1
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285
Math.LiveDoubtClearing
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L
The value of $\int \frac{\cos 7 x-\cos 8 x}{1+2 \cos 5 x} d x$ is equal to?
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1
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172
Math.LiveDoubtClearing
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L
Solve $\int \frac{x^3 \mathrm{~d} x}{\sqrt{1+x^2}}$.
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1
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170
Math.LiveDoubtClearing
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L
The value of $\int \sqrt{\frac{e^x-1}{e^x+1}} d x$ is equal to
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1
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183
Math.LiveDoubtClearing
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L
If $\frac{d}{d x} f(x)=4 x^3-\frac{3}{x^4}$ such that $f(2)=0$. Then $f(x)$ is
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1
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161
Math.LiveDoubtClearing
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L
Solve $\int \frac{x^3 \mathrm{~d} x}{\sqrt{1+x^2}}$
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1
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177
Math.LiveDoubtClearing
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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$
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1
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204
Math.LiveDoubtClearing
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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$
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1
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234
Math.LiveDoubtClearing
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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) ... $
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1
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436
Math.LiveDoubtClearing
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deveshgarg2008
Solve $\int \frac{(x+1)^{1 / 2}+(x+1)^{3 / 4}}{x(x+1)^{1 / 4}} d x$
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2
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241
Math.LiveDoubtClearing
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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 ...
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1
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453
Math.LiveDoubtClearing
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Anisha Ghosh
Integration of $1^x$ w.r.t. $x$ is
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1
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178
LiveDoubtClearing
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