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Jeneeta Eliza John
Subject: Math
, asked on 19/3/18
Please solve
Q. Evaluate :
$\int \frac{{x}^{2}-1}{x\sqrt{{x}^{4}+3{x}^{2}+1}}dx$
Answer
1
Riya
Subject: Math
, asked on 19/3/18
Question 69. Evaluate
${\int}_{2}^{5}\left(3{x}^{2}-5\right)dx$
as a limit of a sum.
Answer
1
Riya
Subject: Math
, asked on 19/3/18
Question 24. Evaluate
${\int}_{1}^{4}\left(\left|x-1\right|+\left|x-2\right|+\left|x-4\right|\right)dx$
Answer
1
Lavneesh Rajput
Subject: Math
, asked on 19/3/18
Solve this:
Q.15. Find :
$\int \left(3x+1\right)\sqrt{4-3x-2{x}^{2}}dx$
Answer
1
Lavneesh Rajput
Subject: Math
, asked on 19/3/18
$\mathit{Q}\mathbf{.}\mathbf{}Solvethis:{\int}_{0}^{\mathrm{\pi}}\frac{4x\mathrm{sin}x}{1+{\mathrm{cos}}^{2}x}dx$
Answer
1
Vidipta Fulpadia
Subject: Math
, asked on 18/3/18
Integrate
$\int \frac{1}{3{\mathrm{sin}}^{2}x+8{\mathrm{cos}}^{2}x+1}$
Answer
1
Ranjit Singh
Subject: Math
, asked on 18/3/18
Q.25 second part
Q.25. Evaluate:
${\int}_{\raisebox{1ex}{$\mathrm{\pi}$}\!\left/ \!\raisebox{-1ex}{$4$}\right.}^{\raisebox{1ex}{$\mathrm{\pi}$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}\mathrm{cos}2x\mathrm{log}\mathrm{sin}xdx$
Answer
1
Tithi
Subject: Math
, asked on 18/3/18
Solve this:
Q.49.
${\int}_{0}^{2\mathrm{\pi}}\frac{1}{1+{e}^{\mathrm{sin}x}}dx$
Answer
2
Ujjwal Sancheti
Subject: Math
, asked on 18/3/18
Solve this:
$\int \frac{dx}{{\mathrm{sin}}^{2}x{\mathrm{cos}}^{4}x}$
Answer
3
Ranjit Singh
Subject: Math
, asked on 18/3/18
Q.18
$\mathbf{18}\mathbf{.}\mathbf{}Evaluate\int \frac{\left({x}^{2}-1\right)dx}{{x}^{4}-3{x}^{2}+1}$
Answer
1
Varnika Dhiman
Subject: Math
, asked on 18/3/18
Kindly check if the given question is done correctly or not. [In book, it was done by directly using by-parts method, so lemme know if we can do this way or not.]
Q1
$\int \frac{x{\mathrm{sin}}^{-1}x}{\sqrt{1-{x}^{2}}}dx$
Answer
1
Jaison
Subject: Math
, asked on 18/3/18
why did we do that step (marked with arrow) and how did it happen pls explain?
Answer
2
Jaison
Subject: Math
, asked on 18/3/18
why did the alpha went missing in the last step? It should be x cos 2(alpha) +(alpha) cos 2(alpha) - sin 2 (alpha) ln |sin(x+alpha)+C
Answer
3
Varnika Dhiman
Subject: Math
, asked on 17/3/18
Shouldn't the marked term be negative ?!.. If not, how did it come ?!..
Answer
1
Tithi
Subject: Math
, asked on 17/3/18
Solve this:
$\int \sqrt{{x}^{2}+4}\left({x}^{2}+1\right)dx$
Answer
2
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What are you looking for?

Q. Evaluate :

$\int \frac{{x}^{2}-1}{x\sqrt{{x}^{4}+3{x}^{2}+1}}dx$

Q.15. Find : $\int \left(3x+1\right)\sqrt{4-3x-2{x}^{2}}dx$

Q.25. Evaluate: ${\int}_{\raisebox{1ex}{$\mathrm{\pi}$}\!\left/ \!\raisebox{-1ex}{$4$}\right.}^{\raisebox{1ex}{$\mathrm{\pi}$}\!\left/ \!\raisebox{-1ex}{$2$}\right.}\mathrm{cos}2x\mathrm{log}\mathrm{sin}xdx$

Q.49. ${\int}_{0}^{2\mathrm{\pi}}\frac{1}{1+{e}^{\mathrm{sin}x}}dx$

$\int \frac{dx}{{\mathrm{sin}}^{2}x{\mathrm{cos}}^{4}x}$

$\mathbf{18}\mathbf{.}\mathbf{}Evaluate\int \frac{\left({x}^{2}-1\right)dx}{{x}^{4}-3{x}^{2}+1}$

Q1 $\int \frac{x{\mathrm{sin}}^{-1}x}{\sqrt{1-{x}^{2}}}dx$