1. / 3 cos³ x sin? x dx

Q: 3 cos(x)³ dx

A: We need to evaluate integral.

Q: 플) - cos X = sin x 2.

A: cos(x-π2)=sin x

Q: (8 cos x + 9 sin x) dx

A: SOLUTION-

Q: 2 cos² x√4 tan x S tan² x dx

A:

Q: 4 sin“ x cos° x dx

A: As per our guidelines we are supposed to answer only one question and rest of the question will be…

Q: 4. Evaluate sin (x) cos°(x)dx

A: To evaluate the integral

Q: 2. ( sin32x dx cos 2x

A: We have to integrate.

Q: 7)S sin2xcos* x dx

A:

Q: 6. Find Sin 5x (b) y = THcos 5x dx

A:

Q: Evaluate S(cos4 x – sin* x)dx

A:

Q: 6. S 2sin´x sin(2x) dx

A:

Q: S sin5 3 x cos' 3 xdx

A:

Q: 5 cos2(x) sin(2x) dx

A:

Q: 3- cos nX Sin ux dx

A:

Q: 23. x? sin (x³) cos (x³) dx

A: ∫x2sin5x3cos3x3dx=∫sin5x3cos3x3dx      x3=u,3x2dx=dx, x2dx=1/3 dx=∫sin5x3cos313dx

Q: 15 cos(x) + 4 sec (x)dx

A: 1) I=∫15 cosx+4 sec2xdx =15∫cosx dx+4∫sec2x dx =15 sinx+4 tanx+c   (c- constant if integration)

Q: cos

A:

Q: 5. | cos(7x)dx

A:

Q: 5. Se* (sin x + cos x) dx

A:

Q: 3. Find S sin5 x cos* x dx.

A: Use substitution method

Q: 1. cos x sin“ x dx

A:

Q: (2) S sin6 x+cos6 x sin³ x cos³ x dx

A: See this solution in below.

Q: 10. sin x cos x dx

A: Given:- ∫ sin3(x) cos5(x) dx

Q: 9. sin“ x cos“ x dx

A:

Q: 3. S In(cos x) tan x dx

A:

Q: Evaluate. S sin“ x cos² x dx

A: This question is related to integration,  we will solve it using given information.

Q: (7/2 cos'x sin'x dx Jo

A: To determine: The integral

Q: 1. f(x) = cos (-:-)

A: From graph, it is clearlimx→∞cos1x =limx→-∞cos1x = 1

Q: 3 Find ſ cos³ (x)dx ?

A:

Q: 4 cos () dx 10. x³ sin3

A:

Q: 1. sin° x cos x dx

A: sin3x cos4x  = sin(x) sin2(x) cos4(x)  = sin(x) (1 - cos2(x)) cos4(x)  = sin(x) (cos4(x) - cos6(x))…

Q: Evaluate S (cos4 x – sin“ x) dx

A:

Q: (#5) ſ cos³ (x)sin*(x)dx =

A: Given the function,

Q: 2 2 | sin x cos xdx X,

A: As per our guidelines we are supposed to answer only one question kindly repost the other question…

Q: 71. cos³ 2x sin 2x dx

A:

Q: ,(xsinx+cos.x)x'cos"x - x sinx + cos.r cos³ 3 dx x°cos?x

A:

Q: 2 sin x cos8x dx

A: Given- ∫0π2sin6xcos8xdx To Find- The value of the above integral. Identity Used- The value of the…

Q: (2 cos x + 7 sin x) dx

A: Disclaimer:  Since you have asked multiple questions, we will solve the first question for you. If…

Q: 5. S sin5x cos 3x dx

A:

Q: 16. (sec x + tanx)² dx 32. sin? x cos x dx

A: We 1+ tan^2(x)=sec^2(x)  Also we integral of sec^2(x) is tan(x)

Q: 4. sin+ cosx – 1 = 0 (L3)

A: Solution of problem (L3) 4

Q: 8 sin(2x) cos(2x) dx

A: We have to evaluate the given integral

Q: 1. S 3 cos("/x) x2

A: "Since you have asked multiple questions , we will solved the multiple questions for you. If you…

Q: 1. cos x sin* x dx

A:

Q: evaluate the integral.

A:

Q: 16. S cot xdx /1 + In sin x

A:

Q: 4x 3x + cos (2x² + 1) tan? x) x (1+ sin² dx

A: Here We have to evaluate;  a) ∫4x3x+cos(2x2+1)dx b) ∫tan2x(1+sin2x)cos2xdx

Q: Evaluate the integral.

A: Given: I=∫0π4xsinxcos3xdx

Q: 1.5; cOs X dx sin³ x – 4 sin x

A: Note:- We’ll answer the first question since we answer only one question at a time. Please submit a…