91Ó°ÊÓ

In the following exercises, evaluate each definite integral using the Fundamental Theorem of Calculus, Part 2 . $$ \int_{\pi / 3}^{\pi / 4} \csc \theta \cot \theta d \theta $$

In the following exercises, evaluate each definite integral using the Fundamental Theorem of Calculus, Part 2 . $$ \int_{\pi / 4}^{\pi / 2} \csc ^{2} \theta d \theta $$

In the following exercises, evaluate each definite integral using the Fundamental Theorem of Calculus, Part 2 . $$ \int_{1}^{2}\left(\frac{1}{t^{2}}-\frac{1}{t^{3}}\right) d t $$

In the following exercises, evaluate each definite integral using the Fundamental Theorem of Calculus, Part 2 . $$ \int_{-2}^{-1}\left(\frac{1}{t^{2}}-\frac{1}{t^{3}}\right) d t $$

In the following exercises, use the evaluation theorem to express the integral as a function \(F(x)\) . $$ \int_{a}^{x} t^{2} d t $$

In the following exercises, use the evaluation theorem to express the integral as a function \(F(x)\) . $$ \int_{1}^{x} e^{t} d t $$

In the following exercises, use the evaluation theorem to express the integral as a function \(F(x)\) . $$ \int_{0}^{x} \cos t d t $$

In the following exercises, use the evaluation theorem to express the integral as a function \(F(x)\) . $$ \int_{-x}^{x} \sin t d t $$

In the following exercises, identify the roots of the integrand to remove absolute values, then evaluate using the Fundamental Theorem of Calculus, Part 2 . $$ \int_{-2}^{3}|x| d x $$

In the following exercises, identify the roots of the integrand to remove absolute values, then evaluate using the Fundamental Theorem of Calculus, Part 2 . $$ \int_{-2}^{4}\left|t^{2}-2 t-3\right| d t $$