fo 5x cos(a2) dx (x²) dx

Q: 1. e2x cos 3x dx

A: ∫e2xcos3xdx

Q: Find integral.

A: ∫-11xcos x dx

Q: 2 x b) sec dx 2

A: Evaluate the integral ∫π3π2sec2x2dx.

Q: d) sin (x)e3*+ dx dx

A: The given integral is definite integral because limits are given.  So integration value will be a…

Q: y = C,e²x cos(3x) + C2e2x sin(3x)

A: y=c1e2xcos3x+c2e2xsin3x  differentiate with respect to x…

Q: S cos(2x)e2* dx (recurring)

A:

Q: π/2 cos² x dx

A: This question can be solved using the concept of properties of definite integrals.

Q: d [ sin(x)cos(x) dx dx 1+x4

A: Find the integral

Q: dy 7. dx cos(x + y), when x = 0,y = 4

A:

Q: d d) -(cos(Tx)) dx

A:

Q: d²y Find 2 dx? y = sin 2x+cos² x

A: Using derivatives.

Q: S V3x – I dx а. - b. f cos 7x dx J 2+sin x COS x dx с.

A: As per our guidelines we are supposed to answer only three subparts of a question. Kindly repost…

Q: dy 5. Find : (b) y = cos (11x³ + 5x). dx

A: The detailed solution is given below Thank you

Q: COs 2.r dx x² + 2x + 2

A: In this question, we find the principal value of the integral by using residue theorem

Q: S cos(2x)e2x dx

A: We need to evaluate: ∫cos(2x)e2xdx

Q: J cos 3x cos 4x dx :

A:

Q: dy 6y = 12x- 50 sin x dx² dx

A:

Q: fe²x+Inx² sin x² dx = +²√e²x cos x² dx

A:

Q: (d) ƒ sin(1 – x)(2 – cos(1 – x))ª dx

A:

Q: S[cos 3(x/3)]dx

A:

Q: x fare cos = dx 2

A: Indefinite Integration

Q: dx (2) 3y sin x - -2xy cos x = 0 dy

A: Follow the procedure given below.

Q: e cos-1x 5. S V1-x2 dx

A: To evaluate the given integral.

Q: T/2 S. CoS (x) dx

A: solution in step 2

Q: S cos^3 (x/3) dx

A: ∫ cos3(x/3) dx ∫ cos(x/3) cos2(x/3) dx  ∫ cos(x/3) (1-sin2(x/3)) dx.         ..(1) (Beacuse…

Q: 3e" + 3x + 10 cos x + 2)dx .2

A:

Q: dy dx 2 cos y 3 Csc x

A:

Q: (4e²+7x°+5 cos z + 2)dx

A: Solve integration

Q: x cos (y²) dy dx

A:

Q: S cos(3x – 2n) cos (x + t) dx

A: We know that, 2cosAcosB=cos(A+B)+cos(A-B) Also, ∫cosxdx=sinx

Q: ex sin(e*)dx 8+cos²(e*) (x+2)dx x2-3x+5 dx -2 x²+4

A:

Q: cos x dy dx - 0 0 а. 1 b. 0 С. 2 d. -1

A: First integrate w.r.t. y and then x

Q: 2 S² T ㅠ 1-cos x dx 2

A:

Q: dy y sin x - Solve : +-= cos x+ dx +

A: Solution is given below:

Q: S[ sec(x) + cos(æ) dx + C 4 cos(x)

A:

Q: 3x e COs x dx

A: To evaluate:∫e3xcosxdx

Q: x7+3x2. Find dy/dx if: (y)² = sin (cos³(* +3: *)) %3D 2

A:

Q: e cos (2x) dx

A: The given integral ∫e-xcos2xdx can be evaluated as, Let,  I=∫e-xcos2xdx By applying integration by…

Q: dy (2xy – sinx) = (cos y – x²) dx

A:

Q: Q3) (cos y – 2xy + dx – (x² + xsin y)dy = 0 x²+

A: Simplify the equations by grouping like terms and using the product rule of differentiation. Look…

Q: f Cos 6 x dx 2 Cos ²3x

A: Solving the problem by finding the value of the problem.

Q: ∫(π/2) cosx dx 0

A:

Q: dy dx + 2xy = x cos(x) %3D

A:

Q: (2xsinx +3 cos y)dx-3x sin ydy 03 ....

A:

Q: 4x Cos x dx b.

A: Given :

Q: dy Solve cos x(e2y - y) - dx = e' sin 2x,

A:

Q: dy = 4 cos 4x dx

A: The given differential equation is dydx=4cos4x. We can solve this differential equation using…

Q: dy 7. dx = cos(x + y), when x = 0,y == 4

A: Differential equations, with substitution method and separation of variables

Q: S cos(2x)e2× dx

A:

Q: dx 3+2 cos x

A: The value of the given integral is 2√5/5 Arctan[√5/5 tan(1/2 x)] + c