23. x? sin (x³) cos (x³) dx

Q: 19-x Evaluate ,* sin(x + y*) dy dx

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Q: b) S sin 2 x cos x dx

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Q: 13. Find y' for sin(xy²) + x² = y². %3D

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

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Q: 2 6. dx (sin x – cos x)?

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Q: B. By miscellaneous substitution (VE+1)dx dx 1. S 2. S: 3 cos x+2 sin x-5 XA +

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Q: 3r cos(x) 1. Evaluate dx V1+ sin(x)

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Q: S 5 sin(3x)e2cos(3r)dx

A: Solve integral by substitution method:-

Q: S+ xcos (nx) dx + (π-x)(cos(nx)) dx

A: Here we will use integration by parts  let f(x) and g(x) are two function of x then…

Q: fe²x+Inx² sin x² dx = - +1/√√e²x cos x² dx

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Q: 4 Find dx for y = - +7 sin x. X

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Q: 4. J (cos x – sin x)²dx

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

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Q: 4 sin x dx (1 + cos x)²

A: Here we have to solve the given integration.

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

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Q: e2x dx 1. Зе2x+1 2. sinx dx 1 3. cos 2x

A: As per bartleby guidelines we are supported to answer only first three subparts,  kindly repost…

Q: 4. ["s 0 sinx + 2 cos x dx

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Q: S(6Vx + 3 cos x - 8)dx

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Q: sinh(Inx)dx 1) 2) fe* sinade e*.sinxdx 3) sin? (2x).cos(3x) G

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Q: S sin'x·cos'x dx

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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: 2x cos x? dx 1+ sin² x² 8

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Q: 1. Calculate the Integral sin x cos x dx

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

Q: Se2* (sin x + cos x)dx

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Q: • If y = cos x2 + x² then y(4) = 8x? sin x² + 0 TO F

A: Topic- Derivative

Q: b) S. cos x cos 7x dx

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Q: 9- for y = cosx is dx a)sinx b)sin2x c)-sinx

A: As per the bartleby guideline for the multiple question it is allowed to solve first question of…

Q: 9. . 2 CoS cos rsin?x dx. 10. 2 sinºx dx

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Q: ,2x Set* sin(e2*)dx

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Q: トキ 4 Sin Yx cos? dn SinYy

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Q: S S som'e dx cos'x

A: Perform integration

Q: 6. S sin*(e³*) cos(e³*) e³× dx

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Q: 3. S sin? (2t) cos³ (2t) dt 4. ſ tan³(3x)dx

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Q: 11. sin(x) + cos(y) = ey

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Q: -3π/2 2. S TL √sinx + 1 cos x dx

A: We solve the given definite integral by using substitution method .

Q: 1. x2 cos 2x dx

A: The given integral is: ∫x2cos 2x dx

Q: 9. ſ csc 3x dx 10. S sin x e cosxdx CoSx

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Q: S 4 cos (x) sin (x) dx = %3D

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Q: 5. Sxcot°(10x²)dx 6. S ( tan (3z) dz cos*(3z)

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Q: CM 2: S cos"x sinx dx

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Q: 1. " x² cos 2x dx

A: (1) We need to evaluate the following integral ∫0πx2cos2xdx

Q: 2 sinºx cos®x dx

A: here we use integration method, as we seen that the power of the sin and cos are even . so we use…

Q: Q1-Find S sin 3x e4* dx

A: let I=∫sin3x e4xdx using by parts I=e4x∫sin3x-∫ddxe4x∫sin3xdxdx simplify I=e4x∫sin3x-∫12e4xcos3xdx…

Q: 5 cos(a) sin (x) dx

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: What would be your of 'du' using the IBP (e^x) (sinx )dx * none of the above e^x cos X sin x sin x…

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Q: dx 5+4 cos x

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Q: 7+2 sin y -dy = D cos ?y

A: on solving this we get the

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

Q: 7. Find (a) y = (x* + 5x) cos 5x %3D dx

A: We can find the derivative using product rule as below

Q: (3e + 10 cos(x)) dx ntegral =

A: Integration problem....