Evaluate the following integrals.
We have to integrate
To evaluate this integral we use the method of integration by parts.
Multiplying and dividing the integrand by ,we get
Now, taking I1 = and I2 =
I = 36I1 I2
To solve for I1 = ,we go ahead with the method of integration by substitution.
But first let’s arrange the integral,
Going ahead with the method of integration by substitution, put Differentiating , we get
Changing the variable in the integral, we get
The integral we have now, we use the formula
Putting in the value for t , we obtain the integral
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
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