Evaluate the integral. \int x^{\frac{5}{7}}dx

deliredejoker7m

deliredejoker7m

Answered question

2021-11-06

Evaluate the integral.
x57dx

Answer & Explanation

Hiroko Cabezas

Hiroko Cabezas

Beginner2021-11-07Added 18 answers

Step 1 We have to evaluate the integral: x57dx Rewriting the integral, x57dx=x57dxWe know the power rule for integration,xndx=xn+1n+1+CWhere, C is an arbitrary constant. Step 2 Applying power rule for the given integral, we get xndx=xn+1n+1+C

x57dx=x57+157+1+C

=x5+775+77+C

=x127127+C

=712x127+C

Hence, value of the integral is 712x127+C.

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