(Solved): 13. Evaluating Indefinite Integrals using U-Substitution. Evaluate the following indefinite integra ...

13. Evaluating Indefinite Integrals using U-Substitution. Evaluate the following indefinite integrals using U-Substitution. a. \( \int x\left(3 x^{2}-1\right)^{7} d x \) b. \( \int x^{2} \cos \left(2 x^{3}-2\right) d x \) c. \( \int x e^{\left(1-4 x^{2}\right)} d x \) d. \( \int \frac{5 x}{\left(2 x^{2}+1\right)^{2}} d x \)