11. Integrals of Inverse, Exponential, & Logarithmic Functions

Find the indefinite integral.

${\int }_{}^{}\frac{3-y^2}{2y}dy$

Evaluate the definite integral.

${\int }_2^e\frac{3+x}{x}dx$

Find the area under the graph of $f\left(t\right)=\frac{t^2{e}^t+t}{t^2}$ from $t=1$ to $t=3$.

Find the indefinite integral.

${\int }_{}^{}\frac{1}{2x+5}dx$

7-56. Trigonometric substitutions Evaluate the following integrals using trigonometric substitution.

19. ∫ 1/√(x² - 81) dx, x > 9