Mathematics

$$\int \sqrt {x^2 + a^2} dx =\dfrac{x}{2} \sqrt {x^2 + a^2} + \dfrac{a^2}{2} log (x +\sqrt {x^2 + a^2)} +c$$


ANSWER

True


View Full Answer

Its FREE, you're just one step away


TRUE/FALSE Medium Published on 17th 09, 2020
Next Question
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 111
Enroll Now For FREE

Realted Questions

Q1 Single Correct Medium
If $$\dfrac{d}{dx}f(x)=g(x)$$ then $$\displaystyle \int_{a}^{b}f(x)g(x)dx=$$
  • A. $$\dfrac{f(b)-f(a)}{2}$$
  • B. $$\dfrac{f(a)-f(b)}{2}$$
  • C. $$\dfrac{{f}^{2}(a)-{f}^{2}(b)}{2}$$
  • D. $$\dfrac{{f}^{2}(b)-{f}^{2}(a)}{2}$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q2 Subjective Medium
Evaluate $$\displaystyle \int_{1}^{2}x^2 \ dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q3 Subjective Hard
Evaluate $$\displaystyle \int e^x \left [ \dfrac{\sqrt{1 - x^2} \sin^{-1} x + 1}{\sqrt{1 - x}^2} \right ]dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q4 Subjective Medium
Evaluate: $$\displaystyle \int \dfrac{\sin x}{\sin 3x} dx$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer
Q5 Single Correct Hard
The value of $$\displaystyle \int \left ( 3x^{2}\tan \dfrac{1}{x}-x\sec^{2}\dfrac{1}{x}  \right )dx$$  is
  • A. $$x^{2}\tan \dfrac{1}{x}+c$$
  • B. $$x\tan \dfrac{1}{x}+c$$
  • C. $$\tan \dfrac{1}{x}+c$$
  • D. $$x^{3}\tan \dfrac{1}{x}+c$$

Asked in: Mathematics - Integrals


1 Verified Answer | Published on 17th 09, 2020

View Answer