mathematics questions

MATH101 Homework 6 (Due May 12)

ID : _________________ Name: ___________________________________

Evaluate the following expressions

[1] Evaluate

sin π

4 + cos

π

4

[2] Evaluate

ln 𝑒2 − ln 2 + ln 2𝑒3

[3] Evaluate

𝑒2ln3

[4] Differentiate

ln(𝑥 + 1)

[4] Find the antiderivative (indefinite integral):

∫ 1

𝑒𝑥 𝑑𝑥