How can you proof int dx/(a^2-x^2)=1/(2a) log |(a+x)/(a-x)| + c∫dxa2−x2=12alog∣∣∣a+xa−x∣∣∣+c using x = a sinthetax=asinθ ?
int dx/(a^2-x^2)=1/(2a) log |(a+x)/(a-x)| + c∫dxa2−x2=12alog∣∣∣a+xa−x∣∣∣+c
using x = a sinthetax=asinθ
using
3 Answers
Kindly refer to Explanation.
Explanation:
Suppose that,
Using the substn.,
Please see the proof below.
Explanation:
Normally, you perform this integral by the composition into partial fractions.
But you need.
Therefore,
The integral is
Let
Therefore,
Proof is below
Explanation:
Let