PROBLEM Carry out the substitution in the improper integral 2 cos 0 = ei + e-i /2 Sh log (2 cos 0) de.

Q: Plase solve the integial I12= COs(5) sin(@x) don

A: Given integral:

Q: sin 3t dt J cos 3t – 1

A: Given: I=∫sin3tcos3t-1dt   ....(1)   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx, where…

Q: ox/2 cos 2x dx

A:

Q: sinh e/2 dx is equal to e/2 2 cosh e 7/2 + C 2 cosh e"/2 + C O - (sinh e /2) + C 1 O -2 cosh e I/2 +…

A:

Q: sin (3x+1)dx 4 cos (3x+1) C

A:

Q: 4 sin x dx (1 + cos x)²

A: Here we have to solve the given integration.

Q: /2 3 d.x 2 cos x +1 -7/3

A: Given, ∫-π3π232cosx+1dx We have to evaluate the definite integral.

Q: |12 sin(4x) cot(cos(4x)) dx

A:

Q: Differentiate. H(t) = cos2(t)

A: answer = -2sin2t   explanation is given in the below step

Q: cot (7x+5). sin ( 3x+2) csc ( 7x+5) dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: sin x dx + x cos² x 5.

A: Integral of a function is the anti derivative of the function, meaning area of the graph of the…

Q: Differentiate. f(0) = sin(8) 1 + cos(8)

A:

Q: Differentiate. f(0) = 0 cos(0) sin(0)

A:

Q: 6sin³ (2x) cos(2x) dx =

A: the given indefinite integral is: ∫6sin52xcos2xdx we have to find the value of the given indefinite…