"Definite Integrals" 1. sin | COS dr -

Q: sin x dx cos3 x – 8 - 8

A:

Q: r=2(9+1)sin0

A: Since  Sin (0) = 0

Q: sin x .2 3 + Cos X

A: Given: ∫sinx3+cos2xdx

Q: X Given X=- what is the exact value of sin(+X)? 3'

A:

Q: 3 sin x dx 3. | COs cos? x

A: Our Aim is to solve the integral given below:-I=∫sin3 (x)cos2 (x)dx -(i)

Q: sine a, +e-rag – 2cos@sinpas v x F(1,"/2, "/3 =?

A:

Q: 2x3 sin? x + x4 sin³ x – 3 sin² x + x* cos x 2 . dx x4 sin² x

A: I have stated the used formulas in the solution

Q: sin r - cos r -dr 1+ sin(2r)

A: To integrate: ∫0πsinx-cosx1+sinx2xdx Solution: We know that, sin2x=2sinx cosx sin2x+cos2x=1 Using…

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

A: Given

Q: TC Sinh exp -i sinh 1 -i sin 1 i sinh 1 i sin 1

A:

Q: coS x - 3 7. 2 + sin x dx

A: Follow the procedure given below.

Q: uestion: If sin(A) = 0.35 and cos(A) < 0, determine: cos(A) sin(2A) = cos(2A) =

A: Given:

Q: sin (cot−1 (5/2 ))

A:

Q: Cos3 cos³x S dx 1+ sinx

A:

Q: sin r da cos3 x

A: The integral can be solved using substitution method. Since the integration is indefinite; a…

Q: sin θ = -4/5  ,3pi/2   4< θ < 2π Find cos(2θ).

A:

Q: sin x COS I 2. 1+ sin(2x)

A: Use the following trigonometry formula:-  (i)  1 = sin2x + cos2x  (ii)  sin(2x) = 2sinxcosx

Q: cos?x- tan2x = 2 – sin?x - sec?x.

A:

Q: cose de sin?0 + 4sin0 – 5

A:

Q: etan x dx 1 – sin²x

A:

Q: sin r cos r dr

A: We have to calculate the given integral