Evaluate the indefinite integral Solution We can make a u su

Evaluate the indefinite integral.
\"\\int


\"+\\,C\"

Solution

We can make a u substitution: u = 9 + x^5 du = 5x^4 dx (1/5)du = x^4 dx Now we can rewrite the integral as: (1/5)integral(sqrt(u) du) The indefinite integral of this form is: (1/5)*(2/3)u^(3/2) = (2/15)u*(3/2) Now we can replace u with what it really is defined as: (2/15)*(9+x^5)^(3/2) + C
 Evaluate the indefinite integral. Solution We can make a u substitution: u = 9 + x^5 du = 5x^4 dx (1/5)du = x^4 dx Now we can rewrite the integral as: (1/5)int

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