Mathematics

# If $I=\displaystyle \int_{-\frac{\pi}{6}}^{\frac{\pi}{6}} \dfrac{\pi+4x^{5}}{1-\sin \left(|x|+\dfrac{\pi}{6}\right)} dx$, then $I=$

$4 \pi$

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Single Correct Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 84

#### Realted Questions

Q1 TRUE/FALSE Medium
$\int \sqrt {x^2 + a^2} dx =\dfrac{x}{2} \sqrt {x^2 + a^2} + \dfrac{a^2}{2} log (x +\sqrt {x^2 + a^2)} +c$
• A. False
• B. True

1 Verified Answer | Published on 17th 09, 2020

Q2 Assertion & Reason Medium
##### ASSERTION

Integral of an even function is not always an odd function.

##### REASON

Integral of an odd function is an even function.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Both Assertion and Reason are incorrect
• D. Assertion is correct but Reason is incorrect

1 Verified Answer | Published on 17th 09, 2020

Q3 Subjective Medium
$\int_{ - 1}^2 {\sqrt {5x + 6} } dx$

1 Verified Answer | Published on 17th 09, 2020

Q4 Subjective Medium
Integrate the function    $\tan^{-1}x$

$\int_{}^{} {\frac{{ - 1}}{{\sqrt {1 - {x^2}} }}dx}$