Mathematics

# $\int_{0}^{\pi / 4} \frac{d x}{2+\sin ^{2} x}=$

$\tan ^{-1}\left(\frac{\sqrt{3}}{2}\right)$

Its FREE, you're just one step away

Single Correct Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 86

#### Realted Questions

Q1 Subjective Medium
Find the integral of    $\displaystyle \int x^2(1-\frac {1}{x^2})dx$

1 Verified Answer | Published on 17th 09, 2020

Q2 Subjective Hard
Evaluate $\int_{0}^{\pi}e^{|\cos x|}\left (2\sin \left (\dfrac {1}{2}\cos x\right ) + 3\cos \left (\dfrac {1}{2}\cos x\right )\right )\sin x dx$.

1 Verified Answer | Published on 17th 09, 2020

Q3 Single Correct Medium
$\displaystyle \int x\sec x^{2}dx$ is equal to
• A. $\displaystyle \frac{x^{2}}{2}\log \left ( \sec x^{2}+\tan x^{2} \right )+k$
• B. $\displaystyle 2\log \left ( \sec x^{2}+\tan x^{2} \right )+k$
• C. none of these
• D. $\displaystyle \frac{1}{2}\log \left ( \sec x^{2}+\tan x^{2} \right )+k$

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Medium
Prove that $\displaystyle\int^{2\pi}_0|\cos x|dx=4$.

1 Verified Answer | Published on 17th 09, 2020

Q5 Subjective Medium
Evaluate:
$\int\limits_0^L {\dfrac{{dx}}{{\left( {ax + b} \right)}}}$