Find formulas for the functions represented by the integrals. \int_{1}^{x^{2}}t dt

Irrerbthist6n 2021-12-14 Answered
Find formulas for the functions represented by the integrals.
1x2tdt
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Expert Answer

Ronnie Schechter
Answered 2021-12-15 Author has 27 answers
Step 1: To determine
Find formula for the function represented by the given integral:
1x2tdt
Step 2:Formula used
xndx=xn+1n+1+C where C is the constant of integration
Step 3:Solution
Consider the given integral:
1x2tdt
=t221x2
=12((x2)212)
=12(x41)
Hence, the function represented by the given integral is 12(x41)
Step 4:Conclusion
Hence, the function represented by the given integral is 12(x41)
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Shannon Hodgkinson
Answered 2021-12-16 Author has 34 answers
1x2tdt
Evaluate the indefinite integral
tdt
Evaluate the integral
t22
Return the limits
t221x2
Calculate the expression
(x2)22122
Simplify
Solution
x412
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nick1337
Answered 2021-12-28 Author has 510 answers

It is required to calculate:
tdt
Integral of a power function:
tndt=tn+1n+1 at n=1:
=t22
Problem solved:
tdt
=t22+C

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