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Magazine Problem 261
Use a CAS to evaluate the following integrals. Tables can also be used to verify the answers. $$ \text { [T] } \int \frac{d w}{1+\sec \left(\frac{w}{2}\right)} $$
Problem 262
Use a CAS to evaluate the following integrals. Tables can also be used to verify the answers. $$ [\mathrm{T}] \int \frac{d w}{1-\cos (7 w)} $$
Problem 263
Use a CAS to evaluate the following integrals. Tables can also be used to verify the answers. $$ \text { [T] } \int_{0}^{t} \frac{d t}{4 \cos t+3 \sin t} $$
Problem 264
Use a CAS to evaluate the following integrals. Tables can also be used to verify the answers. $$ [\mathrm{T}] \int \frac{\sqrt{x^{2}-9}}{3 x} d x $$
Problem 265
Use a CAS to evaluate the following integrals. Tables can also be used to verify the answers. $$ \text { [T] } \int \frac{d x}{x^{1 / 2}+x^{1 / 3}} $$
Problem 266
Use a CAS to evaluate the following integrals. Tables can also be used to verify the answers. $$ [\mathbf{T}] \int \frac{d x}{x \sqrt{x-1}} $$
Problem 267
Use a CAS to evaluate the following integrals. Tables can also be used to verify the answers. $$ [\mathrm{T}] \int x^{3} \sin x d x $$
Problem 268
Use a CAS to evaluate the following integrals. Tables can also be used to verify the answers. $$ [\mathbf{T}] \int x \sqrt{x^{4}-9} d x $$
Problem 269
Use a CAS to evaluate the following integrals. Tables can also be used to verify the answers. $$ [\mathbf{T}] \int \frac{x}{1+e^{-x^{2}}} d x $$
Problem 271
Use a CAS to evaluate the following integrals. Tables can also be used to verify the answers. $$ [\mathbf{T}] \int \frac{d x}{x \sqrt{x-1}} $$
