Determine the indefinite integral. Use substitution.
We use the Substitution Method to evaluate the given indefinite integral. The substitution u = x + 2 was chosen because the composite u7 = (x + 5)7 appears in the integrand.
For
Solve for x.
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Substitute the expressions for u and du to rewrite the integral in terms of u.
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Now evaluate the indefinite integral in terms of u. (Use C for the constant of integration.)
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Substitute into
to determine the given integral in terms of x.
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