=|N 2 sin(x) sin (cos(x)) dx [ cot(ax) dx, a € R 4x - 3 dr.

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

A:

Q: Cos x sin (sinx) dx

A:

Q: sin(x) dx Cos(X

A: Given - ∫sin(x)cos(x)dx

Q: x" cos h(x) dx

A:

Q: Find [(x- sin(2x)) dx

A:

Q: (e) sin(2x) sin(x) dx.

A: ∫sin2xsinxdx

Q: dy Find dx

A: Given: y=tan-1(sin(3x)+cos-1(cos(x))) Find dydx

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

A:

Q: y = | cosx + x² dx

A: Use the basic concept of integration and solve the indefinite integral.

Q: Evaluate cos¹ (5x) sin(5x)dx + C

A:

Q: 4 sin x dx (1 + cos x)²

A: Here we have to solve the given integration.

Q: 5: Find dy dx of the function y = tan¹Vx² 1 + csc ¹x -

A: y=tan−1⁡x2−1+csc−1⁡x

Q: x cos x Y = sin* cOS x find d dx | sin-

A: To  find: dydx=?

Q: 1. f cos³ (tan x) sec² x dx

A:

Q: dx dx 1 sin?x +cos²x

A: given that ∫0π2 dxsin2x+14cos2x calculate the integral under the limits 0, π2

Q: cos' v dv 1-sin v 2.

A: Given

Q: S sin(3x + 2) cos(1 – 4x)dx

A:

Q: sin x = x (1 + tan y). Find and provide solution for dx/dy

A:

Q: 7/2 SAT sin" x cos3 x dx

A:

Q: ㅠ (2 cos x - 2 sin x) dx

A:

Q: Jx' sin x dx

A: we need to evaluate, ∫x2 sin x dx this integral can be done by integration by parts. ∫u·v dx = u·∫v…

Q: S sin(1 – 2x)sin(2x + 3)dx

A:

Q: Sketch the following, marking points of interest. Y = (*+2}(x+4}/(x+3) Y= 2 sin x+1 Y= sin (2x)

A: Given Y = (x+2)(x+4)/(x+3) Y = 2sinx+1 Y=sin(2x)

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

A:

Q: Solve (cos x cos y- cot x) dx-sin x sin y dy = 0 %3D

A: