11. Integrals of Inverse, Exponential, & Logarithmic Functions

Evaluate the integrals in Exercises 33–54.

∫ (e^(√r) / √r) dr

Evaluate the integrals in Exercises 33–54.

∫(from ln3 to ln2) (e^x) dx

Evaluate the integrals in Exercises 33–54.

∫(from ln4 to ln9)e^(x/2)dx

Evaluate the integrals in Exercises 69–134. The integrals are listed in random order so you need to decide which integration technique to use.

∫₋₁⁰ e^x / (e^x + e^(−x)) dx

Evaluate the integrals in Exercises 69–134. The integrals are listed in random order so you need to decide which integration technique to use.

∫ (e^x + e^(3x)) / e^(2x) dx

Evaluate the integrals in Exercises 69–134. The integrals are listed in random order so you need to decide which integration technique to use.

∫ e^(ln√x) dx

The integrals in Exercises 1–44 are in no particular order. Evaluate each integral using any algebraic method, trigonometric identity, or substitution you think is appropriate.

∫ e^(z + eᶻ) dz

The integrals in Exercises 1–44 are in no particular order. Evaluate each integral using any algebraic method, trigonometric identity, or substitution you think is appropriate.

∫ ((2ˣ - 1) / 3ˣ) dx

Evaluate the integrals in Exercises 31–78.

55. ∫(from -2 to -1)e^(-(x+1)) dx

Use the table of integrals at the back of the text to evaluate the integrals in Exercises 1–26.

∫ e^(-3t) sin(4t) dt