43. | sin 2x cos 2x dx

Q: 2. cos“ y sin’ ydy

A:

Q: S sin 3xsin 2x dx

A: Given integral, ∫sin3x sin2x dx

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: Evaluate the integrals

A:

Q: 1. sin " 2xcos' 2x dx

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 2 sin x dx cos x 7.

A:

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

A:

Q: 6. S 2sin´x sin(2x) dx

A:

Q: Pineh dy/dx メ+ tan (Xり)0

A:

Q: S sin 2x sin 4x dx 7.

A:

Q: /2 sin 2x dx Jo 3+cos (2x)

A:

Q: 5. . sin 3x dx

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: 5. | cos(7x)dx

A:

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

A:

Q: 9. S sin(4x – 2) dx

A:

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

A: According to company rule, we can answer only first question.

Q: 2 | (sin³x cos x + sinxcosx)dx 7/2 π

A:

Q: 1. cos x sin“ x dx

A:

Q: 4. evaluate 1 -5x dx xe x sin( 2.x)dx 5)

A: Integration by parts.

Q: 10. sin x cos x dx

A: Given:- ∫ sin3(x) cos5(x) dx

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

A:

Q: 비신부 4 x² sin(2x) dx

A: Given : ∫827dxx-x3

Q: (a) S sin³ cos dx . 3

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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: 211 3- sin nx dx [1-cos2nx]dx 1t, where n %3D

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: 3 sin x 1. S- dx 1+cosx

A:

Q: 1. Find , if y = x² sin 3x dx

A:

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: 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: 3. sin x cos x dx

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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: 4. cos 4x cos 2x dx

A: The integration of the integral is cos(4x)cos(2x).

Q: 2. S sin*(2x)cos²(2x) dx 4

A:

Q: 4). | (5 sin 2x) dx = 2

A:

Q: 7. Integral cos x dx sin x

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

Q: 5. S sin5x cos 3x dx

A:

Q: S sin x (1+ cos 2x)² dx

A: In some cases integrals can be converted to standard integrals using an appropriate substitution.…

Q: 1. cos x sin* x dx

A:

Q: 6. sin x cos°x dx

A: We need to evaluate integral.

Q: 30. sin x cos(cos x) dx

A: The given integral is ∫sin x coscos x dx. Let u=cos x. Then, du=-sin x dx.

Q: Find ∫ sin 2x/( 2 + cos x) dx.

A: The integral is ∫sin2x2+cosxdx.

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

A:

Q: S sin 3x cos xdx

A:

Q: a. dx 1+ sin(ax)

A: