263 Answered Questions for the topic integral

11/15/21

Indefinite integration

Find the indefinite integral for the following:(indefinite integral) (6)/(8e^x+4)dxThank you in advance

11/08/21

For each value of λ the function h(x, y) = x^2 + y^2 - λ(6x + 2y - 18) has a minimum value m(λ)

For each value of λ the function h(x, y) = x^2 + y^2 - λ(6x + 2y - 18) has a minimum value m(λ).a) Find m(λ)b) For which value of λ is m(λ) the largest, and what is that maximum value?c) Find the... more

10/17/21

Help with this homework

Consider the ODE system below y ′ = y2 − z2 ; z′ = y2 + z2 Which of the following is true?a. Solvable by trig substitutionb. Solvable using Euler method only if initial conditions are stated c. RK... more

10/15/21

Help with this homework

The differential equation dy/dx = cos(x + y)/cos(x − y) may be classified as : a. Homogeneous b. Exact c. Linear d. Exact and Homogeneous

10/15/21

PLease help with this homework

Consider the function y(x) = − sqrt( 1 − x2), the volume of the solid of revolution about the x-axis is :a. Undefinedb. πc. 4π/3d. Cannot be solved using known techniques

10/15/21

PLease help with this homework

Consider the function y(x) = − sqrt( 1 − x^2), the volume of the solid of revolution about the x-axis is :a. Undefined b. π c. 4π/3 d. Cannot be solved using known techniques

10/15/21

Please help with this math question

. The ordinary differential equation : dy/dx = e^(-x^2) , y(0)=1 ; maybe solved using a. No technique covered in class b. Integration by parts c. The substitution y = xv d. Euler method

probability density function

Let X be the amount of time (years) before a new battery stops working. X has the probability density functionf(t) = { C e^(-0.4t) , t ≥ 00 , otherwise,where C is a constant.Find C (using (Pr(-inf... more

probability density function, find SD(X), find cumulative distribution function (CDF)

Let X be the amount of time (years) before a new battery stops working. X has the probability density functionf(t) = { C e^(-0.4t) , t ≥ 0 0 , otherwise,where C is a... more

07/26/21

Evaluate the following integrals

1. ∫ (x−1)(2x3+2x2+3x+2)dx / x3(x+1)2. ∫10dx / 4x3−4x2+5x

07/24/21

Determine the integral

Determine the integral of x y dx dy. Use inner limits=0 to (y + 1) and outer limits=0 to 1.

07/23/21

find the indefinite integral

find the indefinite integral:∫dx/sinx+tanx

07/23/21

find the indefinite integral

find the indefinite integral:∫dx/sinx+tanx

07/23/21

find the indefinite integral

∫x2-3x-7/(2x+3)(x+1)dx

07/23/21

find the indefinite integral

∫dx/(x2+a2)2

07/19/21

Other Applications of Integration

1. The area bounded by the parabola ay = x2 and the line y = b is revolve about the x − axis. Find the volume generated. (use cylindrical shell method)2. How far from the x-axis and y-axis is the... more

07/19/21

Other Applications of Integration

1. The area bounded by the curve y = e−x, the axes and the line x = 2 is revolved about ox. Find the volume generated. (use circular disk method)2. Find the volume of the torus formed by revolving... more

07/16/21

Application of Integration: Plane Area

Show your mathematical maturity by giving COMPLETE complete solution to each of thefollowing items.1. Determine the area bounded by the curves y = 6x − x2 and y = x2 − 2x.2. Determine the tangent... more

07/16/21

Application of Integration: Plane Area

Show your mathematical maturity by giving COMPLETE complete solution to each of thefollowing items.1. Find the area bounded by the curve y2 = 4x and the line 2x + y = 4.2. Find the area bounded by... more

07/12/21

Evaluate using Wallis’ Formula.

∫0π/2 sin4y cos7 ydy ∫10 (1-x2) 5/2 dx
Integral Calculus Volume

07/10/21

How would i find what a and b are?

Set up an integral that computes the volume of a cone of height 12 whose base is an ellipse with semi-major axis 6 and semi-minor axis 4. The area formula for an ellipse is pi(a)(b), where a is the... more
Integral Calculus

07/10/21

integrals involving tan and sec; cot and cos

evaluate pls∫cot62xdx
Integral Calculus

07/10/21

integrals involving tan and sec; cot and cos

evalutae the integral please∫csc26xdx

07/05/21

Fundamental Integration formulas

Evaluate ∫ 3x / 1-3x2 dxusing change of a variable.2.Derive the following formula ∫sec x dx = 1/2 In(1+sinx/1-sinx)+C3.Derive a formula for ∫xn In x dx where a. n≠-1 n=-14.Derive a formula... more

06/23/21

Integrate (e^x)(2x) with respect to x.

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