sin x 31 dt dx

Q: π/4 [sin (√x) dx 0

A:

Q: 2. e* sin x dx

A: (2). We need to evaluate the following integral  ∫0πexsinxdx

Q: sin x dy 2. dx 2у x2

A: In this question we have to find the solution of the given differential equation.

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

A: Evaluate :   ∫sin(3x)sin(x) dx

Q: S(;+ sin(x) – Vx²) dx

A:

Q: Use graphs to evaluate

A: Given  and

Q: T sin (x') dz =

A:

Q: | – (3x² sin x + 2) dx In r dx Je

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

Q: d/dx (sin^3 x) = d/dx (sinx sinx sinx) = ?

A: Given query is to find the derivative of the expression.

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

A: Consider the following integral:

Q: b. x sin 2x dx

A:

Q: Find integral.

A:

Q: S sin x In(1 + sin x) dx

A:

Q: 3.) ž sin'(x)dx

A:

Q: sin(2t)dt

A:

Q: Sx² sin x dx

A: Given integral: ∫x2sinxdx  Use integration by parts   ∫uvdx=u∫vdx-∫ddxu∫vdx Here, v=x2 and v=sinx

Q: (1+x° 2) 늪(cot-1 () - d dx 1-x,

A: Solution:To find:ddx cot-1 1+x1-x=?Formula:ddxcot-1x=-11+x2ddxuv=vu'-uv'v2

Q: sin x dxdy

A: see below the calculation and answer below

Q: sin (x² 3/2 +2)dx

A: See the details solution in below

Q: 3 dx 2+4 sin x

A:

Q: Sx sin(3x – 2) dx |

A: The given integral is ∫xsin3x-2dx To solve the integral

Q: 3. S sin x sec®x dx

A:

Q: Integrate x sin(x)dx

A: We need to evaluate the following integral I = ∫x sinx2dx…

Q: 9. sin“ x cos“ x dx

A:

Q: x sin 1 x dx

A:

Q: . S sin(x²) dx

A: Given integral: ∫01sinx2dx We know that 2sin2θ=1-cos2θ So, we have ∫011-cos2x2dx12∫011-cos2xdx

Q: S (|sin x| + sin æ') dx

A:

Q: cos x II. S .dx V1-2 sin x III. Stan³x sec*x.dx

A:

Q: Зп/2 | sin(x + 7)| dx

A:

Q: y= 13 * sin x 13 "* sin x=| dx

A:

Q: I) sin X dy dx Sin 2X - y Cos X

A: Explanation of the answer is as follows

Q: a) S sin*x dx

A:

Q: sin x cos x dx S.

A:

Q: sin(3t)dt

A:

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

A:

Q: 2. sin x dx

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

Q: sin x dx 2 (1+ cos x)² 12.

A:

Q: 2.) Sž sin"(x)dx

A: sin2x +cos2x =1 dcos xdx=-sin x ∫un du = un+1n+1+C

Q: | cos x dx ile ( Jcos x| dx

A:

Q: dx ex sin2 (e

A:

Q: Cos"x Sin x dx

A:

Q: sin(v3t) (b) L-- [tan- )) (a) L dt

A: In this question, we use the properties of Laplace and inverse Laplace transform, find the Laplace…

Q: sin x dx 7+ cos x 2

A:

Q: (5-)dx Sin(x) d X

A: Since we have multiple question we are suppose to do only one. Kindly repost the other question as…

Q: S( sin x +÷) dx 5x

A: ∫sinx+15x dx

Q: sin t dt dr 12

A:

Q: csc t sin 3t dt

A: Solve the following

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: S sin(v3x + 2}dx

A: To evaluate the given integral