Show that ∫(1)/(4 + x^2) dx = (1)/(2)tan^-1((x)/(2)) + C

Name: Show that ∫(1)/(4 + x^2) dx = (1)/(2)tan^-1((x)/(2)) + C
Uploaded: 2023-07-22T04:17:34-08:00
Duration: 21 s
Channel: Numerade
Description: Show that ∫(1)/(4 + x^2) dx = (1)/(2)tan^-1((x)/(2)) + C

Question

Hemraj Kumawat · Answer

In this question, it is asked that find the integration of this function. So let us assume that

Atul Kumar · Answer

In this problem, we have to evaluate the indefinite integral. So it is given that integration of

J Hardin · Answer

This problem is from chapter 7, section 2, problem number 24 in the book Calculus Early Transcen

Zhumagali Shomanov · Answer

In this question, we are asked to calculate the given indefinite interval. And to calculate this

Adi S · Answer

So, this is a problem on indefinite integrals. So, we have integral of tan2x into secant2x dx. S

Question

Show that $\int \frac{1}{4 + x^2} dx = \frac{1}{2}tan^{-1}(\frac{x}{2}) + C$

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