Mathematics

$$\int \dfrac{sin x+ sin 2x + sin 3x}{cos x+cos 2x+cos3x}dx$$


ANSWER

$$\dfrac{log(sec2x)}{2}+c$$


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 Subjective Medium
Integrate the rational function   $$\cfrac {x}{(x+1)(x+2)}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q2 Single Correct Medium
$$\displaystyle \int \left(\frac{x}{1+x^5}\right)^\frac{3}{2}dx$$ equals-
  • A. $$\dfrac{2}{5}\sqrt{1+x^5}+c$$
  • B. $$\dfrac{2}{5}\sqrt{x^5}+c$$
  • C. None of these
  • D. $$\dfrac{2}{5}\sqrt{\dfrac{x^5}{1+x^5}}+c$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q3 Subjective Medium
Evaluate the given integral.
$$\displaystyle \int { \cfrac { x+2 }{ \sqrt { { x }^{ 2 }-1 }  }  } dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q4 Single Correct Medium
Let $$f(x) = \dfrac{1}{2}  a_0 + \sum^n_{i = 1} a_i \, \cos (ix) + \sum_{j = 1}^n \, b_j \, \sin (jx)$$. Then $$\underset{-\pi}{\overset{\pi}{\int}} f(x) \, \cos \, kx \, dx$$ is equal to 
  • A. $$a_k$$
  • B. $$b_k$$
  • C. $$\pi b_k$$
  • D. $$\pi a_k$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q5 Passage Medium
Let $$\displaystyle f\left ( x \right )=\frac{\sin 2x \cdot \sin \left ( \dfrac{\pi }{2}\cos x \right )}{2x-\pi }$$

Then answer the following question.

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer