18 [™ f(z)dz where a = 11 - F f(x)dr = [² (² and b 0 f(x)dr

Q: d/dx(51x)

A: ddx51x

Q: 5- (tanx + secx)2 dx

A:

Q: ThepdfofXisf(x)=θx^(θ−1), 0

A: # pdf of random variable x is  f(x)=theta*x^(theta-1). :0<x<1  Then to find probability…

Q: find the diferential of the function when x = 2 and dx = 0.1 f(x) = x ln (x^3 + 2x - 4)

A: We will use the definition of differential.

Q: Vx 3+x (g(x)) if g(x) = 3x +2 + S, * ** dx c) %3D

A: I applied Leibnitz rule

Q: ln(x+(x2 −16)^(1/2)) Find the domain and the derivative of the function.

A: Given, function is

Q: In xdx

A:

Q: aresin (2x-1) = 1-x 2 arctan

A: Substitute x = cos^2(theta) and simplify the equation.

Q: dy Use implicit differentiation to find dx 2х - 3 5y? 2x +3 dy dx

A:

Q: 2tan-(x) dx = (e)None In2 In4 In2 In4

A:

Q: Simplify d/dx(x^2 dy/dx)

A: To simplify the given expression.

Q: [1,0) dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (x^2 -1) dy/dx +2xy =x

A:

Q: u) sec(2-x)tan(2-x)dx

A: To evaluate ∫sec2-xtan2-xdx

Q: d/dx (x3)

A:

Q: sec? (1/x) dx. 9: (16pts) Evaluate

A:

Q: Find the slope of f (x) = ln⁡(3x^2+8)/(-2)  at (2,−1.50).

A:

Q: y=5ln(4x)x-1/2 find the derivative (d/dx)

A:

Q: Find d/dx((x)(d/dx(x-x^2))

A:

Q: Find the derivative 3x (x4+ 1)5 dx d 3x (x4 + 1)5]- dx

A: To find the derivative of [3x·(x4 + 1)5]

Q: tanx * In(secx) dx

A:

Q: X-yi/x2+y2=1/(1+xi)(3+i)

A: Given

Q: ∫sin(1/x8)dx/x9

A: We have to evaluate the integral: ∫  sin1x8dxx9 This integral will be solved by substitution method…