•π/2 •π/2 [71²2 1-4/2² cos(x) sin(y) dx dy

Q: T/4 (x² − 2x + sin x + cos2x) dx. - Compute π/4 Hint: Try to save as much time as possible by using…

A:

Q: S cos (oc) Sin (x) + 3√ sin(x) dx

A: We need to evaluate :

Q: d [cos³ (x²)-csc(x²)] dx

A: We are required to find the value of ddxcos3x2-cscx2     The following formulas of derivatives has…

Q: 1. [ (6x² – 2x+3)dx sin(2x)dx 3 2. 3. S2 8 dx X+2

A:

Q: d d) -(cos(Tx)) dx

A:

Q: Compute fx cos xe dx by using substitution. sin.x²

A:

Q: Evaluate sin(x) 1+cos(x) -dx

A:

Q: 10 π/2 9 cos(x) sin(sin(x)) dx

A:

Q: •fo .3 x cos x dx

A:

Q: Substitute the expressions for u and for du to write tan(5x + 8)dx in terms of u. tan(5x + 8)dx = |…

A:

Q: C: Proof that ( a) L (cos²t - sin²t) S s² + 36

A:

Q: COS πx dx S1n, πx

A:

Q: (x* +y' )dx+(2xy+ cos y)dy

A: Follow the procedure given below.

Q: π/2 1-z [²6² x cos ydzdydx = = [Show your solution.]

A:

Q: •1/2 | cos(T(x + 1)) dx -2

A: First remove the upper limit and Lower limit and then substitute to make the problem simpler to…

Q: Find cos(4x) sin(4x) da.. To cos(4x) sin(4x) dx : =

A:

Q: Consider the following DE: ( ½ + y + y5 sin x) dx + (6xy5 — 5y¹ cos x + e³)dy = 0, where a . (a)…

A:

Q: 2. Find cos ec (In x) dx . x1+ cot(h x)

A:

Q: S sin(x - 1) cos(x² 2 + 7Jdx

A:

Q: 2 X 1 t3 COS 4- x² dx 2 -2

A:

Q: S cos(3x – 2n) cos (x + t) dx

A: We know that, 2cosAcosB=cos(A+B)+cos(A-B) Also, ∫cosxdx=sinx

Q: 7. To evaluate f-cos X-1 dx, the integrand can be transformed to? 1-sin? x

A: Follow the procedure given below.

Q: √ V ㅠ ff (sin(x²)) (cos(x²)) dxdy 0 22

A:

Q: 2n 37 So² S67 (x sin(y) – y cos(x)) dxdy = %3D

A: The given question can be solved as shown in step 2.

Q: 3. fe2x+Inx² sin x² dx = = 2x -+√e²x cos x² dx

A:

Q: (a) Find 12x-2 – 7x8 dx. r4n+3 (b) Find the exact value of L. 2 cos(r – 1) dr. T+3

A:

Q: d (sin(0) cos(0)) (a) do

A: Please refer the attached image for complete solution.

Q: So S6 x²cos(xy)dxdy

A:

Q: 7 (a² +b°) 1 Prove that : dx = ở (a sin x+ b° cos² x)' 4a’b?

A: