2. The substitution u=cosx is suitable to solve the following integral: sin'x -dx cos 5x O False True

Q: 5) find the integral J8 sin 2x * cos2x dx

A: see below the calculation and answer

Q: Find the integral. er sin(5x)dx - IT

A: Known integral formula:

Q: (24) Evaluate the integral: | Va sin(1 + x/2)dx.

A:

Q: Find the indefinite integral. Solution in handwritten. 1. fx sin x² dx

A: Indefinite integral

Q: Find the indefinite integral. Solution in handwritten a. S sin x -dx cos²x

A:

Q: Evaluate the integrals ∫2(cos x)-1/2 sin x dx

A:

Q: In evaluating sin (2x) cos(2x) dx by substitution, if u = sin( 2x) then what will be the resulting…

A: We have to calculate integral by substitutions

Q: Find the indefinite integral. ​ integral of sin^3(4x)*cos^4(4x)dx

A: Important points for the question: 1. sin2 x + cos2 x = 1   sin2 4x + cos2 4x = 1 2. ∫xn.dx =…

Q: .2 x cos 9TTX dx

A:

Q: Solve the definite integral using usub

A: To integrate,

Q: Je* sin 2x dx cos xdx S (3-cos²x-3 sin x)

A:

Q: Find the indefinite integral of (1+sinx/cos2x) dx

A: We have  I=∫1+sin xcos2x dxI=∫ dx+∫sin xcos2x dx   Substitute  cos x=t sin x dx=-dt

Q: What substitutions are made to evaluate integrals of sin mx sin nx, sin mx cos nx, and cos mx cos…

A:

Q: Evaluate the indefinite integral sin (2)cos"(2)dz 4

A:

Q: Evaluate the integrals cos x dx 5. / sin x

A: since u have asked multiple questions in a single request so we will be answering only first…

Q: Evaluate the integrals. ∫sin 2x/(1 + cos2 x)dx(Hint: sin 2x = 2 sin x cos x.)

A: We have to evaluate ∫sin2x1+cos2xdx We know that sin2x=2sinxcosx So, the given integral can be…

Q: Evaluate the integrals ∫sin 2x cos 3x dx

A: We have to evaluate ∫sin2xcos3xdx. We know that 22sinA cosB=sinA+B+sinA-B Therefore,…

Q: The definite integral sin24x cos2x dx is equivalent to x/2 (A -sin²0 cos²0 d0 2 x/2 В 2sin20 cos40…

A:

Q: dx 2 sin x+3 cos x-5

A: Here we going to use some arrangements, look at the all steps carefully

Q: Find the indefinite integral

A: To find the indefinite integral: ∫sinx7+cos2x dx Solution: Let substitute t=cosx Differentiating…

Q: Find the indefinite integral. ∫cos5 x sin x dx

A: ∫cos5x sinx dx Put, cosx=t⇒-sinx=dtdx⇒-sinx dx=dt⇒sinx dx=-dt

Q: Find the indefinite integral. | x cos 9x² dx

A: Given : ∫xcos(9πx2)dx

Q: Evaluate the integral.  integral sin 9  x cos 5x dx

A: Given :           ∫ sin9 xcos5 xdx

Q: 12 cos6x. sin³ xdxCalculate "/2 3 the integral

A: It is integral problem.

Q: What is the definite integral of sin^5 (x) cos^3 (x) dx if the lower limit is zero & the upper limit…

A:

Q: What is the integral of sin^5 x cos^3 x dx if the lower limit is zero and the upper limit is T/2?

A:

Q: Find the indefinite integral S (8x2/3 + 5* – cos(x))dx and verify the result by differentiation.

A:

Q: Lnx sin 2x dx

A: Use the properties of definite integral and solve the question.

Q: /2 cos x -dx- 1+(sin x)? Compute the integral

A: Consider the following definite integral: ∫0π2cosx1+sinx2dx Substitute sinx=u→cosxdx=du in the above…

Q: Evaluate the integrals. ∫x sin x2 cos8 x2 dx

A: Given,         ∫xsinx2cos8x2dx

Q: find the indefinate integral of sin^5(x)cos(x) dx

A: I = ∫ Sin5x  Cos x dxLet Sin x = tCos x dx = dt

Q: Use Property 8 to estimate the value of the integral.

A:

Q: cos x dx

A: The given integral is ∫x2cos xdx We have to integrate the given integral using integration by parts

Q: Evaluate the integral.  integral sin 6  x cos 5x dx

A:

Q: Given the integral sin(3x + 5) dx cos(3x + 5)

A:

Q: TC 4. sin(2x) cos(2x) dx

A: To evaluate the definite integral

Q: Evaluate the integrals ∫sin3 x cos4 x dx

A:

Q: Solve the Indefinite Integral. S sin Vædz

A:

Q: Solve the integral. cos x dx J (1+ sin² x) arctan (sin x) 10.

A: To evaluate:                      ∫cos x(1+sin2 x)arctan(sin x)dx    ... (1)

Q: S sin x In(cos x) dx

A:

Q: Evaluate the integral.  integral sin 3  x cos 2 x dx

A:

Q: 14. Use a suitable change of variables to determine the indefinite integral. fsin²xcos³ xdx (Hint:…

A:

Q: Evaluate the integral ( sin(In(2+2x)) x+1 dx

A: Given: ∫sinln2+2xx+1dx

Q: 211 3- sin nx dx [1-cos2nx]dx 1t, where n integers.

A:

Q: Evaluate the integrals ∫sin3 x cos3 x dx

A:

Q: b) By using integration parts, show that ii. S(3x + 5) sin(2x + 3)dx = -÷(3x + 5) cos(2x +3) +sin(2x…

A: By using integration by parts, show that∫3x+5 sin2x+3 dx=-123x+5 cos2x+3+34 sin2x+3+C

Q: sin(3x)sin(4x)dx Ssin(3x)cos(4x)dx Jcos(3x)cos(4x)dx

A:

Q: Evaluate the integral. 2 sin -1 x dx

A:

Q: Find the integral. e4x sin(6x)dx =

A: To find the integration.