Find the indefinite integral \int \frac{t}{\sqrt{1-t^{4}}}dt

Minerva Kline

Minerva Kline

Answered question

2021-11-08

Find the indefinite integral t1t4dt

Answer & Explanation

Lible1953

Lible1953

Beginner2021-11-09Added 16 answers

Step 1
Given integral,
t1t4dt
Step 2
Now evaluating the given integral
t1t4dt
=t1(t2)2dt
Let t2=x
2tdt=dx
tdt=12dx
Now integral
11(x)212dx
=1211(x)2dx
=12sin1x+C
=12sin1(t2)+C
Step 3
Final answer:
t1t4dt=12sin1(t2)+C

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