Mathematics

Evaluate the following integrals
$$\int { \cfrac { 2\sin { x } +3\cos { x }  }{ 3\sin { x } +4\cos { x }  }  } dx\quad $$


SOLUTION
View Full Answer

Its FREE, you're just one step away


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

Realted Questions

Q1 Single Correct Medium
The value of intergral $$\displaystyle \int_{\dfrac{\pi}{4}}^{\dfrac{3\pi}{4}}\dfrac{x}{1+\sin x}dx$$ is :
  • A. $$\pi\sqrt{2}$$
  • B. $$\dfrac{\pi}{2}(\sqrt{2}+1)$$
  • C. $$2\pi (\sqrt{2}-1)$$
  • D. $$\pi(\sqrt{2}-1)$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q2 Subjective Medium
The value of $$\int _{ 0 }^{ { \pi  }/{ 2 } }{ \cfrac { dx }{ 1+\tan ^{ 3 }{ x }  }  } $$ is

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q3 Single Correct Medium
If $$\displaystyle \int \dfrac {5x^{4}+4x^{5}}{(x^{5}+x+1)^{2}}dx=f(x)+c$$, then $$f(x)=$$
  • A. $$\dfrac {x^{4}+x^{5}}{x^{5}+x+1}$$
  • B. $$\dfrac {x^{5}}{x^{6}+x^{2}+x}$$
  • C. $$none\ of\ these$$
  • D. $$\dfrac {x^{5}}{x^{5}+x+1}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q4 Subjective Medium
Evaluate the following integrals:
$$\displaystyle \int { \cfrac { 1 }{ { x }^{ 2/3 }\sqrt { { x }^{ 2/3 }-4 }  }  } dx\quad $$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q5 Subjective Medium
Solve$$\displaystyle \int_0^1 \dfrac{x^2-2}{x^2+1}dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer