Mathematics

Value of $$I=\int _{ 0 }^{ \frac { \pi  }{ 2 }  }{ \frac { { (\sin { x } +\cos { x } ) }^{ 2 } }{ \sqrt { 1+\sin { 2x }  }  } dx } $$ is 


ANSWER

$$0$$


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 86
Enroll Now For FREE

Realted Questions

Q1 Subjective Hard
$$\text { Evaluate: } \int_{0}^{\pi / 2} \log (\sin x) \mathrm{d} \mathrm{x}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q2 Single Correct Medium
$$\displaystyle \int { \cfrac { x }{ 1+{ x }^{ 4 } }  } dx$$ is equal to
  • A. $$\cfrac { 1 }{ 2 } \cot ^{ -1 }{ { x }^{ 2 } } +C$$
  • B. $$\cot ^{ -1 }{ { x }^{ 2 } } +C$$
  • C. $$\tan ^{ -1 }{ { x }^{ 2 } } +C\quad $$
  • D. $$\cfrac { 1 }{ 2 } \tan ^{ -1 }{ { x }^{ 2 } } +C\quad $$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q3 Subjective Medium
Integrate the function    $$e^x(\sin x+\cos x)$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q4 Subjective Medium
Solve:
$$\int\limits_0^{\cfrac{\pi }{2}} {{x^2}} \sin x\,\,dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q5 Subjective Medium
Evaluate $$\displaystyle \int_0^{10\pi}|\sin\,x|dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer