Mathematics

Evaluate : $$\displaystyle \int \frac { 1 + \cos x } { x + \sin x } d x$$


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 antiderivative of $$f(x)=\dfrac{1}{3+5\sin x+3\cos x}$$ whose graph passes through the point $$(0,0)$$ is
  • A. $$\dfrac{1}{5}\left(\log \left|1-\dfrac{5}{3}\tan x/2\right|\right)$$
  • B. $$\dfrac{1}{5}\left(\log \left|1+\dfrac{5}{3}\cot x/2\right|\right)$$
  • C. $$None\ of\ these$$
  • D. $$\dfrac{1}{5}\left(\log \left|1+\dfrac{5}{3}\tan x/2\right|\right)$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q2 Subjective Medium
Prove   $$\displaystyle \int_0^{\frac {\pi}{2}}\sin^3xdx=\frac {2}{3}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q3 Single Correct Medium
The value of $$\displaystyle \int_{2}^{3} \dfrac {\sqrt {x}}{\sqrt {5 - x} + \sqrt {x}}dx$$ is
  • A. $$1$$
  • B. $$2$$
  • C. None of these
  • D. $$\dfrac {1}{2}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q4 Subjective Medium
$$\displaystyle \int \dfrac x{2+x^2} dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q5 Subjective Medium
Solve :
$$\displaystyle \int_1^2(4x^3-5x^2+6x+9)dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer