Question
(a) Use the Endpaper Integral Table to evaluate the given integral. (b) If you have a CAS, use it to evaluate the integral, and then confirm that the result is equivalent to the one that you found in part (a).$$\int e^{x} \cos 2 x d x$$
Step 1
Step 1: We can identify this integral as a form of the integral $\int e^{ax} \cos(bx) dx$ which can be solved using the formula $\frac{e^{ax}}{a^2 + b^2}(a \cos(bx) + b \sin(bx)) + C$. Show more…
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(a) Use the Endpaper Integral Table to evaluate the given integral. (b) If you have a CAS, use it to evaluate the integral, and then confirm that the result is equivalent to the one that you found in part (a). $\int e^{x} \cos 2 x d x$
(a) Use the Endpaper Integral Table to evaluate the given integral. (b) If you have a CAS, use it to evaluate the integral, and then confirm that the result is equivalent to the one that you found in part (a). $$\int x^{3} \ln x d x$$
PRINCIPLES OF INTEGRAL EVALUATION
Using Computer Algebra Systems and Tables of Integrals
(a) Use the Endpaper Integral Table to evaluate the integral. (b) If you have a CAS, use it to evaluate the integral, and then confirm that the result is equivalent to the one that you found in part (a). $$\int \frac{x}{(2-3 x)^{2}} d x$$
Principles of Integral Evaluation
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