S cos(7x + 5) dx = (sin(7x+5))/7 + c* O False O true

Q: s sin(3x) + cos(5x) – sin sin)ax |dx

A:

Q: a- S 3ln²x_dx b- f sin5x.cos²x.dx

A:

Q: Evaluate [/3 cos(x) In (sin(x)) dx T1/6

A:

Q: 7/4 Q6// S*x cos3 2x sin* 2x dx

A: we have,

Q: 1 S cos³ 3x sin' 3x dx

A: The given integral is: I=∫cos33xsin43xdx   ...1   We know that; The Power rule: ∫xndx=xn+1n+1+C

Q: S cos³ x sinxdx

A:

Q: 2. ( sin32x dx cos 2x

A: We have to integrate.

Q: 2 sin x dx cos x 7.

A:

Q: 2cosx dx 2 5- fn 1+(sinx)? π

A:

Q: 6. S 2sin´x sin(2x) dx

A:

Q: +3x2 B) Find dy/dx if : (****")) (v)² = sin (cos³

A: Differentiation chain rule

Q: 2x + 2 Evaluate : sin :Ssi". dx. 4x² + 8x + 13,

A:

Q: S sin² 2xcos² 2xdx

A: This question is based on indefinite integral using Trigonometric formula.

Q: Find for y = 5x sin x+ 10x cos x- 10 sin x. dx Dikdörtg

A:

Q: 3. S sin*2x cos$2x dx

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 2. S(cos4x – sin*x) dx

A: we know that , a 2 - b 2 = ( a + b ) ( a - b ) And cos( 2x ) = cos 2 (x) - sin 2 (x )

Q: Answer the following True or False: d Since dx d -sin (6x² + 3x + 4) = (12x + 3) cos x dx (6x² + 3x…

A: The objective of the question is checking the proper use of chain rule .

Q: (d) (sin(x + cos(2x + 3√)))'

A:

Q: Number 23

A: we have to find definite intregral of given question

Q: b) S (7x² – 5x² – 4)sin (3x) dx |

A:

Q: Cos 2x dx ) Sin*2× + 8 1.

A: Given ∫cos2xsin22x+8dx

Q: 8. S (1+cos3x)² dx sin23x

A:

Q: S(6Vx + 3 cos x - 8)dx

A:

Q: 1 =dx = V81-(3x+5)? 2 3x+5 -tan- (***) + c 9 o 음sin-1 (3g5) +c 9 o tan-! (**5) +c o sin-l (초5) +c…

A:

Q: S sin(4x + 3)cos(3x – 5)dx -

A:

Q: 4 fcos 3x sin³ 3x dx

A:

Q: 3 Find ſ cos³ (x)dx ?

A:

Q: Find the General and Particular solution of = -8 sin 4x ; y = 6 when x = 0 %3! dx

A: We will solve it by variable separable form Consider dydx = -8 sin (4x)dy = -8 sin(4x) dx On…

Q: 1. Find , if y = x² sin 3x dx

A:

Q: (#5) ſ cos³ (x)sin*(x)dx =

A: Given the function,

Q: S sin(4 + 5x) cos (5x – 4)dx

A: From the given problem: I=∫sin4+5xcos5x-4dx As we know that the trigonometric identity:…

Q: S sin (3x) 1+cos² (3x) dx

A: Given integral ∫sin(3x)1+cos2(3x)dx The objective is to evaluate the integral.

Q: S(6x + 2) sin(6a² + 4.x)dx

A: we have to integrate

Q: S sin(ax)cos(ax)/3 – cos(2ax) dx

A: Sin(2ax) = 2*Sin(ax)*Cos(ax)

Q: o. S÷dx 10. sin 3x 11. S- 1-cos 3x

A: As per your request we solved question no. 10 & 11 only

Q: S sin³ (2x)cos² (2x)dx

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: 4. sin 2x cos 2x dx

A: Here we integrate the given function.

Q: 16. S sin 3x cos 3x(cos 3x+1)² dx

A:

Q: 2. S sin*(2x)cos²(2x) dx 4

A:

Q: -3π/2 2. S TL √sinx + 1 cos x dx

A: We solve the given definite integral by using substitution method .

Q: Sõ sin“ 3x cos 3x dx

A:

Q: 4 Find 6. (b) y = -sin 2x. %3D

A:

Q: a²-x2 6- Sº, S dy dx -Va2-x2 7- Sx? cos 5 x dx

A: As per bartelby guidelines we have permitted answer only one question if given more than one…

Q: 3. "sin 2x dx [²sti answer: dx answer: 2+4

A:

Q: 1) fx-²dx 2) sin(n)dx

A:

Q: b- S sin5x.cos²x.dx

A:

Q: S sin(3x)cos(2x)dx

A:

Q: S sin 3x cos xdx

A: