Find indefinite integral. \int \frac{\sqrt{t}}{2}dt

reproacht3 2021-12-19 Answered
Find indefinite integral.
t2dt
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Expert Answer

Steve Hirano
Answered 2021-12-20 Author has 34 answers
Step 1
Consider the indefinite integral
t2dt
In order to evaluate this indefinite integral, use the power rule of integration
xndx=xn+1n+1
Step 2
Using the exponent property n{a}=a1n, the given integral can be written as
t2dt=12tdt
=12t12dt
Now using the power rule of integration, we get
t2dt=12t12dt
=12[t12+112+1]+C
=12[t1+221+22]+C
=12[t3232]+C
=12[2t323]+C
=t323+C
Thus, the indefinite integral is t2dt=t323+C or t2dt=tt3+C
Here C is the integration constant.

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levurdondishav4
Answered 2021-12-21 Author has 38 answers
Given:
It is required to calculate:
t2dt
Lets

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nick1337
Answered 2021-12-28 Author has 575 answers

t2dt
12×tdt
12×t12dt
12×2tt3
tt3
Answer:
tt3+C

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