[sin x √9+ cos² rdr

Q: Evaluate [sin³ a x cos x dx. + C

A:

Q: Use the method of substitution to evaluate 2x sin x? + c 2 sin x? + c sin x? + c 2 – sin x² + c

A: As we know that the common integration of : ∫cosudu=sinu ∫a·fxdx=a·∫fxdx

Q: Evaluate. [16si 16sin-4x cos³-4x dx

A:

Q: a. Solve 2 cos(2x) = √2 for x

A:

Q: Find the Average Rate of Change of the following function (That is, from t = 2 to t = 5.) over the…

A:

Q: os−1(-1/2)

A: Given: cos-1-12

Q: Determine all solutions to the equation √2 cos2x = sin²x + cos²x on the interval [0, 2rt).

A:

Q: Verify the identity: sin (x + π/2) = cos x

A: We have to verify the identity sinx+π2=cosx We know that sina+b=sina cosb+cosa sinb Using the…

Q: Verify. esc (x) [I-cos(2x)] = 2 sin (x) SC

A:

Q: Evaluate Jx/2 6 sin x (cos x + 1)³ dx

A:

Q: 2 Cos4 Sin (sinz) de

A: Consider the integral  ∫cosxsin2sinxdx

Q: What is the value of x? √2 cosx-1=0 2sin3x+1=0

A:

Q: (sin x+ cos x). Find xp

A:

Q: 2-Find L(e-3tsin2t)

A: Given function is, f(t)=12e-3tsin2t Now, from the property of Laplace transformation we get, L(…

Q: Evaluate cos 1 (2+3i).

A: Given :    cos-12+3i

Q: Use an identity to solve the equation sin x + cos x = 1 on the interval [0, 2π).

A: To solve the equation sinx+cosx=1 on interval 0,2π. Solution: We have an identity: sina cosb+cosa…

Q: can

A: We have to find the value of: sin tan-1 38

Q: Find a sin²(x) dr. 16 +1 R

A:

Q: sin 8 cose √cos²0-9 S do

A: Our Aim is to evaluate the integral given below:-∫sin θcos θcos2 θ-9dθ -(i)

Q: Rewrite cos ( x in terms of sin(x) and cos(x). 3

A: Topic - Trigonometric identities Cos (a-b) = cos a cos b + sin a sin b