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Magazine Problem 176
In the following exercises, evaluate each definite integral using the Fundamental Theorem of Calculus, Part 2 . $$ \int_{4}^{8}\left(4 t^{5 / 2}-3 t^{3 / 2}\right) d t $$
Problem 177
In the following exercises, evaluate each definite integral using the Fundamental Theorem of Calculus, Part 2 . $$ \int_{1 / 4}^{4}\left(x^{2}-\frac{1}{x^{2}}\right) d x $$
Problem 178
In the following exercises, evaluate each definite integral using the Fundamental Theorem of Calculus, Part 2 . $$ \int_{1}^{2} \frac{2}{x^{3}} d x $$
Problem 179
In the following exercises, evaluate each definite integral using the Fundamental Theorem of Calculus, Part 2 . $$ \int_{1}^{4} \frac{1}{2 \sqrt{x}} d x $$
Problem 180
In the following exercises, evaluate each definite integral using the Fundamental Theorem of Calculus, Part 2 . $$ \int_{1}^{4} \frac{2-\sqrt{t}}{t^{2}} d t $$
Problem 181
In the following exercises, evaluate each definite integral using the Fundamental Theorem of Calculus, Part 2 . $$ \int_{1}^{16} \frac{d t}{t^{1 / 4}} $$
Problem 182
In the following exercises, evaluate each definite integral using the Fundamental Theorem of Calculus, Part 2 . $$ \int_{0}^{2 \pi} \cos \theta d \theta $$
Problem 183
In the following exercises, evaluate each definite integral using the Fundamental Theorem of Calculus, Part 2 . $$ \int_{0}^{\pi / 2} \sin \theta d \theta $$
Problem 184
In the following exercises, evaluate each definite integral using the Fundamental Theorem of Calculus, Part 2 . $$ \int_{0}^{\pi / 4} \sec ^{2} \theta d \theta $$
Problem 185
In the following exercises, evaluate each definite integral using the Fundamental Theorem of Calculus, Part 2 . \(\int_{0}^{\pi / 4} \sec \theta \tan \theta\)
