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 $$I=$$


ANSWER

$$4 \pi$$


View Full Answer

Its FREE, you're just one step away


Single Correct Medium Published on 17th 09, 2020
Next Question
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 84
Enroll Now For FREE

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

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
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

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

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

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q5 Subjective Easy
Evaluate:
$$ \int_{}^{} {\frac{{ - 1}}{{\sqrt {1 - {x^2}} }}dx} $$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer