448 Answered Questions for the topic integral calculus

Integral Calculus Probability

09/19/20

PLEASE CAN ANYONE SLOVE 1(A) ONLY. THANK YOU

Probability theory tells us that if the average time between events is k, the probability that x, the time between events, is between a and b is given by,P(a ≤ x ≤ b) = ∫ ba f(x) dx ------ equation... more
Integral Calculus Math Multivariable Calculus

09/17/20

Evaluate the line integral with respect to arc length.3 variables

Evaluate the line integral with respect to arc length where C is given by ∫c x ds x = t, y = t sin t, z = t cos t, 0 ≤ t ≤ √(2)firstly subbed t into equation as x=tthen differentiated x, y and... more
Integral Calculus Probability

09/16/20

Please can anyone solve 1(a) and 1(b). I need help. Thank you in advance.

Probability theory tells us that if the average time between events is k, the probability that x, the time between events, is between a and b is given by,P(a ≤ x ≤ b) = ∫ ba f(x) dx ------ equation... more
Integral Calculus Math Calculus Derivative

09/11/20

Find the rate of revenue change with respect to time.

isMobile phone manufacture will be releasing a new version of their smart phone model. Theydetermined that t months after the new phone introduced to the market;The manufacturing facility can... more
Integral Calculus Differential Equations

09/05/20

Equation Generalization

Consider y = x2Area under graph is 100.X axis is divided into 10 intervals.a) What is y(1)?b) Now we divide the x-axis into 11 intervals, what is y(11)?c) Form a general equation linking y(n) to... more
Integral Calculus Calculus Integral

09/04/20

Calculate the investment worth in 5 years using definitive integration

john whos a store manager is considering 5yr investment and estimated that t years from now it will be generating a continuous income stream of 3000 + 50t dollar per year. If the prevailing annual... more
Integral Calculus Calculus

08/29/20

Find the amount of Lipo Protein level in the blood streams

Fat travels through the blood streams attached to protein in a combination called a Lipoprotein. Lowdensity Lipoprotein (LDL) picks up cholesterol from the liver and delivers it to the cells,... more
Integral Calculus Math Calculus

08/25/20

calculate the integral.

∫02∫0√(2x-x^2) xdydx
Integral Calculus Math Calculus Derivative

08/24/20

Can you help me to solve that problem?

w = u2÷v such that u(t) and v(t) are differentiable functions.if u(1) = 3, v(1)= 2, u'(1) = 5 , v'(1)=-4 when t=1 dw÷dt=?
Integral Calculus Math Calculus

08/24/20

calculate the integral.

∫02∫0√2x-x^2 xdydx
Integral Calculus Calculus

08/23/20

Write a triple integral including limits of integration that gives the volume of the cap of the solid sphere  cut off by the plane  and restricted to the first octant.

Write a triple integral including limits of integration that gives the volume of the cap of the solid sphere  cut off by the plane  and restricted to the first octant. What coordinates are you... more
Integral Calculus Calculus

08/23/20

Find the limits of integration ly, uy, lx, ux, lz, uz

Find the limits of integration ly, uy, lx, ux, lz, uz (some of which will involve variable x,y,z) so that the triple integral from ly to uy, from lz to uz, from lx to ux, dx dz dy represents the... more
Integral Calculus Math Calculus Calc

07/26/20

Please Help me Answer ASAP!! Suppose f′(x) = √(x) sin(x^2) and f(0) = 5. Estimate f(b) for:

Suppose f′(x) = √(x) sin(x2) and f(0) = 5.Estimate f(b) for: b = 0 : f(b) ≈ 5b = 1: f(b) ≈b = 2 : f(b) ≈b = 3 : f(b) ≈
Integral Calculus Math Calculus Calc

07/26/20

Suppose f′(x) = x√sin (x^2) and f(0) = 5. Estimate f(b) for:

Suppose f′(x) = x√sin (x2) and f(0) = 5.Estimate f(b) for: b = 0 : f(b) ≈b = 1: f(b) ≈b = 2 : f(b) ≈b = 3 : f(b) ≈
Integral Calculus Math Calculus Calc

07/26/20

Integral Help!! If f(x) is odd, find: int{x=-2 to x=2} f(x)dx =

Let ∫02 f(x) dx = 8If f(x) is odd, find:∫-22 f(x)dx =
Integral Calculus Math Calculus Calc

07/26/20

If int{x=1 to x=3} (3f(x)+8) dx=14, then int{x=1 to x=3} f(x)dx = ?

If ∫13 (3f(x)+8) dx=14, then ∫13 f(x)dx =

07/25/20

Maclaurin series/ Integration

1.)a-Evaluate the integral from 0 to 1/2 of ln(1+x)dx with an accuracy of 10^-4 using techniques of integration and a calculator.b- Now approximate the integral from 0 to 1/2 of ln(1+x)dx to an... more

07/25/20

Maclaurin Series Term by Term Integration

Approximate the integral from 0 to 1 of (sin(x)/x) dx with an accuracy of 10^-6 using the Maclaurin series of sin, division of that Maclaurin series by x, and term-by-term integration. You will... more
Integral Calculus Calculus Integral Integration

07/25/20

Maclaurin Series and Term-By-Term Integration

Approximate the integral from 0 to 1 of e^(-x^2)dx with an accuracy of 10^-6 using the maclaurin series of e^x , replacement of x by -x^2, and term-by-term integration. You will have to figure out... more
Integral Calculus Math Calculus

07/14/20

Definite integral calculus prove

prove ,∫0π/2(cos2x)2 cosx dx=√2 ∫0π/4(sin2x)2 cosx dx
Integral Calculus Math Calculus Derivative

07/01/20

Compute ∫ ((a cos(x))/(b sin(x) +c))dx. in terms of a,b, and c.

Compute ∫ ((a cos(x))/(b sin(x) +c))dx. in terms of a,b, and c. You may assume "b" does not equal zero. Use "+C" as a constant to indicate a family of solutions differing by a constant. ∫... more
Integral Calculus Math Calculus Derivative

07/01/20

Use part I of the Fundamental Theorem of Calculus to find the derivative of:

Use part I of the Fundamental Theorem of Calculus to find the derivative of: h(x) = ∫ (top of the integral symbol says "sin(x)" and bottom of integral symbol says "-3") then followed by the... more

06/30/20

Trigonometric Substitution Integration

2.) ∫ ((9+25x^2)^(1/2)*dx)/(x^2)
Integral Calculus Calculus Trigonometric Integration

06/30/20

Trigonometric Substitution Integration

4.) ∫((9-25x^2)^(1/2)*dx)/(x^2)
Integral Calculus Calculus Trigonometry Integration

06/30/20

Trigonometric Substitution Integration

3.) ∫(dx)/((x)*(9+25x^2)^(1/2))

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