Evaluate the indefinite integral. \int t^{\frac{-6}{11}}dt

aidmoong7

aidmoong7

Answered question

2021-11-19

Evaluate the indefinite integral.
t611dt

Answer & Explanation

Ceitheart

Ceitheart

Beginner2021-11-20Added 14 answers

Step 1
It is given that, t611dt.
We have to evaluate the indefinite integral.
Step 2
We have, t611dt
Now, by applying power rule: tndt=tn+1n+1+C, where C is arbitrary constant
So, t611dt=t611+1611+1+C
t611dt=t511511+C
t611dt=115t511+C
Hence, t611dt=115t511+C
juniorekze

juniorekze

Beginner2021-11-21Added 18 answers

Step 1: Move the negative sign to the left.
t611dt
Step 2: Use Negative Power Rule: xa=1xa.
1t611dt
Step 3: Use Power Rule: xndx=xn+1n+1+C.
11t5115
Step 4: Add constant.
11t5115+C

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