how to solve integration of (3x+5)^4

how to solve integration of (3x+5)^4

An object is moving in a straight line from a fixed point. The displacement s(in meters) is given by s=-2t^2+28t+45, t is greater than or equal to 0, where t is in seconds. 1...

An object is moving in a straight line from a fixed point. The displacement s(in metres) is given by s=-2t^2+28t+45, t is greater than or equal to 0, where t is in seconds. Find...

Dianna wants to enclose a rectangular flower plot that adjoins a brick retaining wall. If she has only 30 m of decorative fencing, what should be the dimensions of the flower plot be so that she a...

You want to produce a cylindrical water container with a capacity of 350mL. What dimensions will minimize the amount of material required for the container?

Differentiate y = (2x+5)^3(6x-1)^5. Express your answer in factored form.

how do you prove that the derivative of x^n is nx^n-1

If f(x) is a function such that f(x) + f''(x)=0 and g(x)= (f(x))²+(f'(x))² and g(3)= 8, then g(8)= ?

i have tried to understand this but i cannot and my homework is due at 6 pm! Please help

if y=log(1+tanx/1-tanx )^0.5 then prove dy/dx=sec^2x

if y=log(1+tanx/1-tanx) then prove that dy/dx =sec^2x

Calculus Question - Please help An object is thrown from a height H above an uneven ground described by a height function h(x). Suppose that the object can be thrown with maximum velocity v at...

The answer which I got was (e^(-x))sin(x/2)-cos(x/2)(e^(-x)) However all the math solvers on the internet are giving different answers. Could you clear things up and tell...

I', really stuck on this one HW question: I have to show how dC/dt = (D * (d^2C/dx^2)) + P at steady state (so when cD/dt =0) equals: (d^2C/dz^2) + (Pa^2/D...

(Hint for h to be maximum, dh/dt=0)

then ∫ x f(x) dx =

The length of a rectangle is given by the function l(t)=6t+5 and its height is given by the function h(t)=the sq root of t, where t is time in seconds and the dimensions are in centimeters. Find...

find where (what are the coordinates) the tangent line to the graph of f(x)=(x+1)/(x-1) is parallel to the line whose equation is 2y+x=6

A fitness club sells its memberships at a fee of $100/month. The club sells 30 memberships per month. CEO of this club estimates that every $10 discount in membership fee, number of users will increase...

A cable company is to connect cable to a house. house is located 3 km from highway, and cable source is located 20km down the highway from the closest point to the house. The cost to lay the cable...

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