Find the indefinite integral. sin 60 V cos 60 de

Q: evaluate the definite integral.

A: We rewrite the given integral using the double angle formula

Q: In the given equation as follows , use a table of integrals to find the indefinite integral:-   See…

A: Let sinθ=t. Differentiate both sides. cosθdθ=dt Substitute the values in the integral. Also since…

Q: Find the indefinite integral. sin 66 V cos 60 d

A:

Q: "/2 cos* x dx /4 sinb x

A:

Q: 3 3x - sin(Tx?)dx

A: Since you have asked multiple questions in a single request, we would be solving only the first…

Q: Evaluate the indefinite integral.

A:

Q: 41 sin x cos x d

A: Given integral :

Q: 4 sin x dx (1+ cos x)2

A:

Q: The integral of (10*/ cos 10*)dx may be written as A In sec B* + tan B*|+ C. Where A, B, and C are…

A:

Q: S sin x cos? xda- 2.

A: topic - indefinite integral

Q: Evaluate the indefinite integral sin? v cos" vdv =

A:

Q: Evaluate the following indefinite integrals. sin? 5x cos? 3.x dx

A:

Q: In the given equation , find the indefinite integral :-   See the equation as attached here .

A: The given indefinite integral is : ∫ cos5θ cos(3θ) dθ Now cos(A) cos (B)=cos(A-B)+cos(A+B)2 So,…

Q: Solve the following integrals. (i) cos x + cos x tan²x dx sec?x

A:

Q: Determine the sign of the integral without calculating it. Draw a graph if necessary.

A:

Q: 2. sin'0 cos e d0

A: We have to find the integral

Q: sin I dr 7+cos2 I

A: ∫sinx7+cos2xdx Put cosx=t⇒-sinx=dtdx⇒sinx dx=-dt

Q: Evaluate the integral. | æ sin(9r) dæ + C

A: Given,  ∫  x sin(9x)dx

Q: Evaluate the definite integral 6 sin(x)dx Answer:

A: Given integral is    We know that integral of sinx is -cosx

Q: The integral of (10*/ cos 10*)dx may be written as A In | sec B* + tan B* | + C. Where A, B, and C…

A:

Q: Use a computer algebra system to find or evaluate the integral.

A: Given :           The integral function :                   ∫-π4π4 sin2x - cos2xcos x dx

Q: 6. fe cos' (r') di

A:

Q: Evaluate the definite integral. 1/2 (sin x)16 dx xp

A:

Q: Evaluate the definite integral. Tt/14 cos(7x) sin(sin(7x)) dx

A: to find:- definite integral.

Q: cos e d0 Jo 1+sin? A 2

A:

Q: 1. Which of the following integrals will yield an inverse sin function? B. S- D. S- dx dx A.S dx dx…

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: Evaluate the integral si 3. sin° x adx. cos? 2

A:

Q: dx 4 2 +3

A:

Q: 18. e cos 20 d0

A:

Q: sin( x)da 14.

A:

Q: In the given equation as follows , use a table of integrals to evaluate the definite integral :-…

A: Given an equation ∫sinθ1+cos2θdθ To integrate using the table of integrals. Let u=cosθ and…

Q: 1. S( 3 cos (37*) dx du

A:

Q: Solve the integral. cos x 7. 1+ sin? x dx

A: The given integral is: ∫cos x1+sin2xdx To solve this integral,  Consider, sinx =t   ......(1) Now,…

Q: Evaluate the definite integral | 4 sin(z)dz Answer.

A: Value=?

Q: cos 30 de

A:

Q: Evaluate the integral and choose the correct answer. Sin In x dx

A:

Q: Find the definite integral of: * 27 cos -w ) sin w) dw. O - 1/2 O - 1/12 О 12 2

A: The given integral is ∫π2π cos3w2 sin5w2 dw. Evaluate the above integral as follows.

Q: Evaluate the integral. | (sin? 0 + cos? 0)d0

A:

Q: 1 dx sin°(2x)

A: Solution:Given∫1sin6 2xdxFormula;d uv=vu'-uv'v2sin2x+cos2x=1∫xn dx =xn+1n+1

Q: Find the indefinite integral ∫(1/θ2) cos(1/θ) dθ

A: Here given as I=∫1θ2cos1θdθ

Q: Evaluate the integrals ∫ 1/cos 2θ sin θ dθ

A: Solution:- The given integral is  I=∫1cos2θsinθ dθ

Q: Va dx (1+x)? 2

A:

Q: sin*(x) cos²(x)dx 4 CO

A: To evaluate the integral ∫ sin4(x) cos2(x) dx

Q: Evaluate the definite integral. •a / 4 2 + 5 cos?(0) de cos?(0)

A:

Q: calculate the indefinite integral.

A:

Q: Evaluate the integral. 14 sin (x) cos (x) de

A:

Q: Evaluate the indefinite integral sinr cos rdr 3 + C

A:

Q: Find the indefinite integral. /. 3. sin 60 cos 60 de

A: To evaluate: I=∫sin36θcos 6θdθ =∫sin26θcos 6θ sin (6θ)dθ =∫(1-cos26θ)cos 6θ sin (6θ)dθ

Q: db 2 – sin²(b) – cos²(b)

A: Solution:Given∫db2-sin2(b)-cos2bFormula;sin2θ+cos2θ=1∫dx=x+C