Evaluate the following expressions without using calculator. In(es) in/ √5 In/8 3 l' In (³√e') = In (+) =

Q: y = 3/4 x 4/3 = 3 x 1/3 + 5, 1 <x<8 (Ans = of unit)

A:

Q: 9. S 2 x In (x)dx Ni 4

A:

Q: A rubber ball bounces to 3/4 of its initial height when dropped on a hard surface. what is the…

A: Given: The ball is dropped from the height 10 meters. The ball bounces 34 of its initial height.…

Q: 5. x' = (1²3) × X 5

A:

Q: 1. L= V1 + 16x6 dx

A: First, we factor out 16 from the radical term, So, it becomes,

Q: 5. Change of variable 2 x dx 3x+1 a.

A: Given function, ∫12x3x+1dx

Q: Let y = 23 e- and set Y = ln y. Find an expression for Y in terms of x and then draw the graph of Y…

A: Given

Q: 31. L = /2n/4 × 1.11

A: Consider the following expression: L=2π4

Q: 37. So x + 3 √x+1 dx.

A:

Q: S5x sec?x dx 5.

A:

Q: tan (8x) sec³ (8x) dæ 7. 3 ес

A:

Q: 8. · 2e²³ da dx

A:

Q: svvq8172882

A: ORThank you 😊

Q: 8 3 Evaluate S -dx. 10 9x 4

A:

Q: I = -S +7142.86 In(S)– 29094.80

A: Given : I = -S + 7142.86ln(S) - 29094.80

Q: ∫ 7 to 9 (4+3x)dx=

A: Given integral is,

Q: If y = - (x+3/3-2x) where x is not equal to 3/2, what is the value of x?

A: What is Inverse of a Function: For a function y=fx, if the function follows some certain criteria,…

Q: Simplify sech (3 ln (2x))

A: K=sech(3ln2x)we know sechx=2ex+e-xwe know  elnx=x

Q: 47. 27 fx-VI+x-4 dx × 7.60306

A: To show 2π∫13x-11+x-4dx≈7.60306