No limit is visible in integral notation, but integration is defined in terms of a limit. Give the definition; explain what is being limited, and how this allows an integral to calculate the...

No limit is visible in integral notation, but integration is defined in terms of a limit. Give the definition; explain what is being limited, and how this allows an integral to calculate the...

So 1/5 / P is the same as 1/5P however they integrate to 1/5lnP and 1/5ln5P respectively, what's with this differnence?

The integral from 0 to 27 of f(x)dx is 0.46896. I need to know what the function for f(x) is. The two endpoints of the curve are (0,0) and (27,0.2894).

A PDF is given by formula p(x)=2e^(-2x),x>0. Determine P(X>1).? PDF being Probability Density Function A PDF is given by formula p(x)=2e^(-2x),x>0. Determine P(X>1).?

A stone is dropped from the edge of a roof, and hits the ground with a velocity of −180 feet per second. Assume the acceleration due to gravity is -32 feet per second squared. How high (in feet) is...

A stone is thrown straight down from the edge of a roof, 900 ft above the ground, at a speed of 7 ft/sec. A. Given that the acceleration due to gravity is -32 ft/sec2, how high is the...

y=3cos(x), 0≤x≤pi

Let F(x) = ∫eu^2 + cos(u) du with upper limit = 7x, lowerlimit = 0 Compute F'(0) I have no idea how to approach this question the 7x in the upper limit is quite...

Evaluate the integral (1/sqrt(x^2 - 5))dx on limits of 3 to 4, using the formula: integral of (1/sqrt(x^2 - a^2))dx. Recall that this formula was found by using the substitution x = a cosh t,...

If ∫dx/(50-10x)=1/10∫dx/(5-x) ∫dx/(50-10x) u=50-10x du=-10dx dx=du/-10 -1/10∫du/u=-1/10ln[50-10x]+c 1/10∫dx/(5-x) ...

show that ∫dx/(2+3sinx) [upper limit pi/2, lower limit 0] = ∫dt/((t+ 3/2)2 - (√5/2)2) [ upper limit 1, lower limit 0] I know that sin(x) = 2t/(t2+1),...

Find using substitution: ∫ 1/[x(1+lnx)2] dx I'm not sure what substitution to use.

I need help answering this word problem...I need to find the function P(t) and I just can't remember the process whatsoever "A company has its profit function P(t) defined since...

Can someone help me solve for this indefinite integral?: (u^2 + u)/(2u^3 + 3u^2 + 1)^(2/3) Thank you!

I need help solving a couple of indefinite/definite integrals. It seems all of my homework problems have done the less complicated ones so I'm not sure how to do these ones: First problem:...

What is the volume generated if it is bounded by planes Z=0, X=0, Y=h, and a circle at ya=sqrt(Ra^2-xa^2) and yb=sqrt(Rb^2-zb^2)? Image below.

∫ (e2x+1)3 e2x dx

∫pi 4cos2x dx pi/2

∫(12)/(x^2 - 9) dx

∫ (4x^4 - 3)/(4x) dx