sin x dx Cos.x 42.

Q: cos x y = %3D sin x + 1

A: Given,            y = cos xsin x + 1

Q: sin* x cos? x dx

A:

Q: () 20. (x. y) = sinx cos y, P =

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: a dx =? (1+sin x)sin x

A:

Q: | cos'x cot x dx 3.

A: To integrate the given.

Q: 3. y cos (sin'x)

A: For the given  y = Cos4(sin3x) dy/dx is calculated as shown below

Q: +3 sinco)dx= Sin(x) %3D

A:

Q: cos x dx

A:

Q: sin(x)ecos dx COS X 8.

A: Given,

Q: (c) sin(3x) sin(x)dx

A: Evaluate :   ∫sin(3x)sin(x) dx

Q: Use graphs to evaluate

A: Given  and

Q: cos e de V1 – sin 0

A:

Q: cos x dx 1+2 sin x

A:

Q: sin x dx 1+ cos'x a/2

A: Consider the following integral:

Q: Classify and Solve dy cos x +y sinx = cosx dx

A:

Q: y = (sin x + cos x) sec x

A:

Q: sin 2x - dx costx + cos?x

A: Given

Q: sin x dx cos? x + cos x 23.

A:

Q: sin x dx 2. cos x 4

A: For the given Definite integral is evaluate by using change of variable method as shown below

Q: Find integral.

A: Evaluate: ∫cos xsin x dx

Q: cos x / sin? x) dx.

A: We have to solve the following given integration

Q: n/2 „sinx dx=? cos x esinx dx=?

A: Solution...

Q: dx (1–sin x)?

A:

Q: 2 cos x – 1 dx = ? X

A: In this question we used the expansion of function and evaluate the integral

Q: Cosx dx H sin?x sin x 2.

A:

Q: (V1 + sin x cOS x dx

A:

Q: a) S sin*x dx

A:

Q: sin x cos x dx S.

A:

Q: So sin(x)dx

A:

Q: COS x dx sin? x 3.

A: Given: I=∫cosxsin2xdx For evaluating given integral, we substitute sinx=t…

Q: | sin x (3cos*)dx 2:

A:

Q: COS x dx sin? x

A: Given: ∫cosxsin2(x)dx

Q: - sin x sin y y' cos x cosS y

A:

Q: cos? dx 1+ sin x .2 CoS" x 3) 6) cosh?vdv

A:

Q: sin x dx 2 (1+ cos x)² 12.

A:

Q: sin x cos x dx 4

A: We have to evaluate the given integral.

Q: ∫ cos √x dx

A: You will need to make a substitution to solve this question:

Q: sin x dx - 1 + x? 22.

A:

Q: Cos"x Sin x dx

A:

Q: sin x dx 7+ cos x 2

A:

Q: sin x – x dx = ? 0-

A: Evaluate it.     ∫02sin x-xxdx

Q: cos“(x)sin*(x)dx

A: To evaluate: ∫0π2cos6x sin4x dx Solution:  We know that, ∫0π2sinmx cosnx dx=┌m+12┌n+122┌m+n+22 We…

Q: sin? x dx 1+ cos x (ii)

A: (ii) ∫sin2x1 + cos x dx Let I = ∫sin2x1 + cos x dx I=∫sin2x1 + cos x ×1- cosx1 - cosx dxI=∫sin2x (1…

Q: Sin? x cost x dX X COS X d

A: Given the integralI=∫sin2xcos2xdx

Q: sin 2x -dx costx+ cos?x

A: