I'm not sure how to start this one. All I know is sec^2 is (1/cosx)^2 is this right?

I'm not sure how to start this one. All I know is sec^2 is (1/cosx)^2 is this right?

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,...

∫dx/(50-10x)=-1/10ln[50-10x]+c Why does factoring 1/10 a constant out of integral not work. ∫dx/(50-10x)=1/10∫dx/(5-x) u=5-x du=-1 -1/10ln[5-x]...

∫dx/(50-10x)=? Does factoring out 1/10 change the answer.

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),...

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:...

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...

h(x)=∫1\u du for all x≥1 upper limit x, lower limit 1 then what does h(x³)=

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

Find the integral below. ∫∫1_R^ (x+2y) dar={(x, y):0≤x≤3, 1≤y≤4}

12. The base of a solid is a circular disk with radius of 6. Find the volume of the solid if parallel cross sections perpendicular to the x-axis are squares. Set-up but do not evaluate the integral...

A bag of sand originally weighing 100 lb was lifted at a constant rate. As it rose, sand also leaked out at a constant rate. The sand was half gone by the time the bag had been lifted to 10 ft. How...

A vertical right circular cylindrical tank measures 30 ft high and 20 ft in diameter. It is full of kerosene weighing 51.2 lb/ft^3. How much work does it take to pump the kerosene to the level 4 ft...

A bag of sand weighing 144 lbs was lifted at a constant rate to a height of 25 ft. How much work was done by lifting the bag this far if the rope weighs 2 lbs per foot?

If the force of 90 N stretches a spring 1 m beyond its natural length, how much work does it take to stretch the spring 5 m beyond its natural length?

At Newniz Doughnuts they create their doughnuts in a different and unique way. Inspired by their calc class, they make doughnuts by spinning a circle though some dough 360 degrees around. When finished...

∫x/(X2 +3) = .5 ln(x2+3) u=x2+3 du = 2x dx 1/2 ∫ 1/(x2+3) = 1/2 *ln(x2+3) here ∫ 1/(x2+3) gives...

Find the area under the curve h(x)=(3x-2)^3 from x=1 to x=2

A high-speed bullet train accelerates and decelerates at the rate of 4ft/s2. Its maximum cruising speed is 90 mi/h. (a) What is the maximum distance the train can travel if it accelerates...

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