0 2 20 {back) -5 In(x)². Sin(x) lo So -10 e. cos² (x) n = 100 n = loo Trapizodia Simp.

Q: b. e4t cos x dx

A: Solution of the problem as follows

Q: п What happens to x cos(nx)dx when n = 0? Justify your answer.

A: First of all, consider the given integral value and integrate.Let nx = a.Calculate dx and the limits…

Q: COS X

A:

Q: x2 Vcos(t) +3 at 1. COS 2.

A: Given that, the integral ∫2x2cos t + 3 dt

Q: 5 sin x +3= -0.8

A:

Q: If 2 T 0 sin (3 x) sin (n x) dx = π, then n = Number

A:

Q: •T/2 cos“ x dx. OS

A:

Q: T/41 – cos X dx sin?x Jπ/6

A: The given integration is ∫π6π41-cosxsin2xdx

Q: Ex Find dy tanhx sinhx tanhx csch x --5 cosh X

A:

Q: ex+e-x and 2 Given that cosh x %D = ex-e-x sinh x = 2 find the following. a. tanh(ln 2) d b. dx…

A: SOLUTION-

Q: | -sinx. cos* x. dx = O cos*x X. + C 4 cos x + C 5 O sin x + C 5 O None

A:

Q: sinhx+ coshx dr60

A:

Q: cosh?x-sinh²x = 1 %3D

A:

Q: dx tan x +sin x+1

A: Solution of the problem as follows

Q: b. sin? () = 2 over [0, 2n) %3D

A: EXPLANATION

Q: Find the value of cosh²x - sinh²x a. e b. 1 C. X d. 3

A: Substituting the formulas of sinhx and coshx in the expression

Q: Solve 0's X <360 for x, Such. that 7sinx 8. Sinx 10 ナ

A:

Q: 1. Solve for G.S. = 6 tan ax 24" + 184 (D4 + 5D²+4) y = cos (3x +4) 2. 3. (0²+4) y = 8 sec 2x

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: . (sin a+ cos x) dy + cos x- sin x) de = 0. (Ans. y + log | sin x+ cos x|c)

A: Formulae used: ddxsinx=cosxddxcosx=-sinx∫1dx=x+c∫1xdx=log|x|+c