Evaluate the integral. (Use C for the constant of integration.) 9 sin(2x) dx 1 + cos“(x)

Q: Match the Integrals on the left side with the appropriate techni Prompts dx 3+5 cos x sec'x dx dx…

A: As per Bartleby guidelines we're supported to answer only first three subparts. Kindly repost rest.

Q: O:: Find the integration for the following functions: - (answer three only) In(x²+x)-Inx-elnx dx…

A: SOME RESULTS(FORMULAS): dlnxdx=1x dxndx=nxn-1 d(sin ax)dx=a cosx d(cos ax)dx=-a sinx ∫sinaxdx=-cos…

Q: 9. For the integral 8 sin" (x)cos(x)dx, if we use the substitution u = sin(x), what will be 3 the…

A: Topic - integration by substitution

Q: 1. Solve the following integral by using the Integration by Parts. (a) x sin x dx (b) e 2x sin 2x dx

A:

Q: 3., J(5 cos x+4 sin x) dx

A: We have to find integration

Q: Solve the integral. dx 9. J Ta – x)(b – x)

A: The given integral is, ∫dxa-xb-x To solve the given integral, we use the partial fraction,…

Q: 1 Use the integration formula ax dx = ax + C to find 4* dx and simplify. In(

A:

Q: evaluate the given integral. L (ex + e-x)/2 dx

A: To evaluate, ∫ex+e-x2 dx

Q: Q5) Find the integration by using (by part method): S e3X sin X dX

A:

Q: solve The Pallowing integrations 4 sing Trigonometric integrals S sin'xcos?xdx 3. Sin'x cosx

A:

Q: S 4x cos(2 – 3x) dx

A:

Q: 6. Which of the following integrals cannot be evaluated using integration by parts? A. ſe-*sin2x dx…

A:

Q: Q: Find the integration for the following functions: - 1.- °(1-cos2x) 2-5 2- sin(tnx) dx 3-f-…

A: According to the guidelines issued by the company we are supposed to answer only first three sub…

Q: Evaluate the integrals: cos2x-1 а. cos2x+1 dx b. S- x (Iпх)5 1 S 2-**x?dx с.

A: Topic-. Integration.   Note - as per our guideline only first three subparts to be solve others can…

Q: Q I find integrals 3-2X 2 +4X dx

A:

Q: 6) Use the successive approximations method to solve the following Volterra integral equation: u (x…

A: The Volterra integral equation is given as u(x)=x22-∫0x(x-t)u(t) dt. We have to solve the equation…

Q: Q2 Find the integral for the following : dx 1 1-5 2- fe-*sec? (ne-*)dx 3- S dx 2vx+2x 1+e*

A: We have to find the Integral for given expressions. 1. ∫dx/(2√x + 2x)  2. ∫e-x sec2(πe-x)dx  3.…

Q: Evaluate the integral. 1 (x² + 3)e¯× dx 0.

A:

Q: Evaluate the integral of sin^6 x dx from 0 to T/2.

A:

Q: 4. Solve the following integrals using the substitution method. (a) sin x cos* x dx (b) Jesin z cos…

A:

Q: J cos(2x)e2x dx (recurring)

A:

Q: 2. / 3" csc²(3") sin“(3") da (3") sin®(3") dx

A:

Q: In the integration of (cos y)^2 dy/(1- sin y), what is the first step to solve the integral? *

A: Given,          ∫cosy2dy1-siny

Q: Use integration by parts to evaluate the integral. 6 3 e cos x dk 0

A: Given integral is

Q: !!! 6 cos (x2) Evaluate the integral -dx dy dz by changing the order of integration in an…

A: Triple integral

Q: 79. What are the new limits of integration if we apply the substitution u = 3x +7 to the integral…

A:

Q: cos y S- = dy V1+ sin y

A: Given, ∫cosy1+sin2ydy Now assuming ,   t = siny then dt/dy = cosy dt =cosydy Sustituting the values…

Q: Find the integrals below. a) |e2x dx b) S 3 dx

A: We have to find integrals of a)∫e2xdx b)∫3xdx

Q: Q1:Choose theappropriate value to integrate the following sin(In x) dx (sin (In x) – scos (In x)) +…

A: Solution I=∫sinin x dx        Let  lnx=t⇒x=et         1x dx=dt          dx=xdt…

Q: Q1: Evaluate the following Integration: a) ( In(x²+x)-Inx-en3 dx b) S; sinx Ine(x+1) 1-cos²x

A: Answer (a): To evaluate this integral, apply the logarithmic properties : And, And, And, And,…

Q: Q1) Find the following integrals } 1) S sinh2x sinhx+1 dx 1

A: To solve the given integral

Q: Use the value of the first integral I to evaluate the two given integrals.

A: It is given that, I=∫0π/2cosθ-2sinθdθ=-1 Consider the integral ∫0π/22sinθ-cosθdθ

Q: Q3/A) Evaluate the integrals S sin(ln x)dx

A:

Q: 4) Solve the following integral by rectangular and trapezoidal methods integration (xsin (x) cos (x)…

A: We have to find the integration of the given function using rectangular and trapezoidal methods.

Q: 4. Evaluate the following real-variable integrals using the method of residues: 2 cos (0) Jo…

A: PART A Consider ∫02πcos2θsinθ+2dθ Let us assume : dz=eiθi dθdz=iz dθdziz=dθ

Q: 15 Find the integral | 2/x (1+x) dx.

A:

Q: 2. Using an appropriate method, compute the following integrals. dx x² + 3x + 2 (i) sin³x cos*x dx…

A: (i)

Q: 2. Reverse the order of integration and then evaluate. So S, x² sin(xy)dxdy а.

A:

Q: 9/u The evaluation of the Integral of S° sin2x cos4x dx is

A: we have to integrate

Q: evalutate the integral from 0 to pi/6 sin^3(x)/cos(x) dx

A:

Q: 3(b) Find the indefinite integral of S*vx+6 dx

A: We need to find integral.

Q: cos5 0 sin 20 de

A:

Q: 1. Evaluate these integrals either by substitution or by integration by parts: cln 2 et a sin(2r) dr…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: a) Evaluate the integrals using appropriate substitutions. Sine ii) S - de Cos20+1

A:

Q: 6) Use the successive approximations method to solve the following Volterra integral equation: (x 2

A:

Q: a) Solve the integration by parts [cos(x)e*dx.

A: We need to solve the given integral  This can be evaluated as follows:

Q: The definite integral from 0 to = of cos x sin xesin² x dx is 4 O e - 1 e+1 e-1

A:

Q: 3. Find the integral: L,x*dx

A:

Q: Q.4 Use the integration by parts to evaluate the integral. V3 2 sin-1 x dx

A: