Find the integral of sec2(x)tan2(x)dx

Find the integral of sec2(x)tan2(x)dx

I need to form a logo using functions and then find the area of the logo but I don't know how to. The summary of the question is the direct question. Some logos we can choose from are the xbox...

Use the divergence theorem to evaluate I=S∫∫(4x+3y2+z)dS, Where s is unit sphere x2+y2+z2=1.

What is the value to 2 decimal places of the following integral when a = 12, b = 32, c = 1.1 and d = 5? \int_a^{^b}\left(\frac{c}{x}-d\left(\sin\left(x\right)\right)\right)dx

I'm trying to integrate (x)/(d+L-x) respect to x but I get -(d+L)ln(d+L-x) + d + L -x. The correct answer is -(d+L)ln(d+L-x) -x. What I did was to change the variable...

this is a calculus prblem on anti derivatives and integrals. please help.

integral of quantity x-2 raised to three halves need help asap thanks

I have an integral with ∫ (b=0, a=-1) and the inside function is (2t)/[(3+t2)3]dt. The directions tell me to "Evaluate the definite integral by making a u-substitution and integrating...

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:...

Find the total area between y=x+14 and y=4x+3 between x = 0 and x =2.

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,...

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

A forest fire covers 2010 acres at time t=0. The fire is growing at a rate of 8√t acres per hour, where t is in hours. How many acres are covered 24 hours later? Round your answer to the...

Evaluate the integral below. ∫_0^1¦∫_y^(2−y)¦ ∫_0^(2−x−y)¦ xy dz dx dy

What is the definite ∫((x2-3x+2)/(x+1)) ? I tried dividing this but I didn't know what to do with the remainder.

∫∫∫w (1-z2) dxdydz ; W is the pyramid with the top vertex at (0,0,1) and base vertices at (0,0,0),(1,0,0),(0,1,0),and (1,1,0). How would I set up the bounds of the integral??

The curve is x^3-6x^2+11x-6. I have to prove that the two regions enclosed between the x-axis and the curve are equal. Given is, that the curve cuts the x-axis at x=1,x=2 and x=3. I tried finding...

1. Evaluate the integral S-12 f(x)dx, when f(x)=3-x3 when x is less than or equal to 1; f(x)=x2 when x is greater than one. 2. Evaluate the integrals using the FTC 1. (a)...

Find average value of the function f(x)=3x^2 on the interval 1≤x≤3.

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