b. Use the substitution u = cos x to evaluate the integral I sin sin a cos adr

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Q: fan's Evaluate sin" x cos x dx.

A: Integration by substitution

Q: sin x cos x) (2 -

A:

Q: b. Express the function below as a sum or difference of sine and cosine. sin 4x cos 3x c. 1 Let f(r)…

A: we have to write the function as a sum or difference of sine and cosine. sin4xcos3x…

Q: (주) X X Evaluate: " sin' cos* () d 4

A:

Q: Use the method of substitution to evaluate | 2x cos x? dx.

A:

Q: Simplify the equation: sechx + sinhx tanhx cosh z cosh a sechx 1+ sinh 2 cosh z

A:

Q: Ex2: Use the identities 4 and 5 to prove that: cos(x- y)-cos(x+y) (a) sin x sin y = 2

A: Formula used -  cos(A-B) = cosA cosB + sinA sinB  cos (A+B) = cosA cosB - sinA sinB

Q: Find the W (sinx,cosx , sec x).

A:

Q: (tanxaa

A:

Q: Cosx 3. 3 cos r - 5 d.r, Use z = tanr |

A:

Q: Q 11: Evaluate f sin cos dx

A: We will evaluate the integral with the help of substitution rule.

Q: q. [sec' x/1 + tan x dx

A:

Q: dx It sin x-cos x COS

A: To evaluate:∫dx1+sinx-cosx Solution: We know,cos2x=1-tan2x1+tan2x     ...(1)sin2x=2tanx1+tan2x…