I° sin(3r) dr

Q: Sx'ln x dx

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Q: (x+ y) dx dy is equal to The value of integral (0 - 4 (ii) 3 (iii) 4

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Q: 2. x COs2x dx w hat is the value of integral 3.

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Q: Solve the given dif fential by variations of parameters 2.y" + 2y + y = e Int

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Q: 20. Evaluate dædy by changing the limits of integration appropriately. e y/2

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Q: 2-) Calcu late +he folloming integ rols by using the integration met hods a)| (hx" +8x²+ 15x) dx dx…

A: We are allow to solve one que at a time

Q: Q3/A- Using Trapezoidal rule ,choose the correct integration value of S sin(2x) with width=15?…

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Q: To integrate y3xdx we apply integration by parts and in the form u dv, u is set as:

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Q: 12 Evaluate the integral dx dy by reversing the order of integration. NOTE: Enter the exact answer.…

A: Explanation of the answer is as follows

Q: To evaluate fx (cos x2)e* dx, use integration by parts. What is the best choice for u and du?

A: Consider the provided integral, ∫ xcosx2ex2dx Evaluate the provided integral. Apply the substitution…

Q: dz 4z+z' ,2

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Q: Change the order of integration and then evaluate the integral: ² x sin (x) dydx π/2 cx+1 1

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Q: xy(y? + 1)dx + (x²y² – 2)dy = 0, y(1) = 1

A: Given: xyy2+1dx+x2y2-2dy=0, y1=1 ⇒xy3dx+xydx+x2y2dy-2dy=0 ⇒xy2ydx+xdy+xydx-2dy=0 ⇒xy2 dxy+xydx-2dy=0

Q: What is the integrating factor of (1 + cos z) y' = sin z (sin z + sin rcoSI y) - CSC I sin z O1 +…

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Q: 32. Evaluate by changing the order of integration: sin y dy dx

A: Given that ∫04∫x2siny3dydx Here x=0 to x=4y=x to y=2

Q: se C for the constant oT integration.) (7 cos x + 3 sin x) dx

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Q: 2. Evaluate the double integral: Lo Sch sin (2³) VVT (Hint: Change the order of integration to dy…

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Q: EXAMPLE 6 Evaluate , y sin(xy) dA, where R = [1, 2] × [0, 7]. SOLUTION If we first integrate with…

A: ∫∫R y sin xydA=∫0π∫12y sin xydx dy                        =∫0π∫12y sin xydxdywhen we integrate…

Q: Reverse the order of integration and then evaluate the integral. 5 5 sin y dy dx 0 x

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Q: a" cos xdx

A: the given integral is: we have to evaluate the given integral

Q: 2. Integrate: Integration by Parts cos?x dx

A: Given : Integral cos2(x) dx

Q: To evaluate In x)² dx, apply integration by parts twice. For the second application of integration…

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Q: Q2 Integrate by parts: ex sin x dx

A: find ∫exsinxdx we know, ∫u.vdx=u∫vdx-∫dudx∫vdx now, apply this on equation I=∫exsinxdx…

Q: Solve for the approximate value of (z² + 3z + 6) dx at n = 5. Solve also the true value of the…

A: To approximate the given integral by using trapezoidal rule.

Q: r6 Evaluate the integral dx dy by reversing the order of integration. NOTE: Enter the exact answer.…

A: We're going to solve

Q: r' y +3y+1 dy y" + y´ +1 2.

A: As per our guidelines, we can answer only one question. Please repost the second question again. The…

Q: To integrate x3 exdx, we apply integration by parts and in the form u dv, dv is set as: O ex dx O…

A: We have to find the dv

Q: Answer the​ question, concerning the use of substitution in integration.   If we use u=x+e as a…

A: We have to evaluate 'I' by substitution method where,

Q: Sx 2 V4 + x´dx

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Q: 20 Evaluate the integral dx dy by reversing the order of integration. NOTE: Enter the exact answer.…

A: The given integral is  ∫020 ∫y45 ex2 dx dy

Q: b) Change the order of integration for So Sx - y) dxdy then evaluate it.

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Q: Integrater'e" dr. 73e dx. 3 72

A: The given integral is: I=∫x3ex2dxlet,u=x3 and v=ex2Integration by partss formula…

Q: 20 Evaluate the integral dx dy by reversing th order of integration. NOTE: Enter the exact answer.…

A: The integration of the integral is ex^2dxdy limit from y/4 to 5 and 0 to 20. Repost the 2nd image.

Q: I = So S 5 sin(y²)dydx with u = 5x and /en U =20. Change the order of integration then evaluate the…

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Q: To integrate x3 ex2 x " 0x we apply integration by parts and in the form u dv, dv is set as:

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Q: e for (2x + 1) cos(x) dx. 14. Use integration by parts to evaluate

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Q: 12 Evaluate the integral dx dy by reversing the order of integration. NOTE: Enter the exact answer.…

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Q: Evaluate∫x3√4−x2dx using (a) integration by parts (b) au-substitution (c) a trigonometric…

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Q: Q3/8- Using Simpson's rule ,choose the correct integration value of x* +5 ,with width = 2? =1030…

A: By Applying Simpson's 3/8 rule.with widht =h=2

Q: 32. Although we cannot compute the antiderivative of f(x) = e12, it can be shown that: Use this fact…

A: The integration by parts is stated as follows : ∫u·v=u·∫v-∫u'∫v

Q: 14) Change the order of integration to dx dy dz 4 4-x 4-x- y SS dz dy dx 0 0

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Q: y() 2. Determine the constant of integration for the following: - dy 3cosx 6 given y dx

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Q: 1 sin? y cos? y

A: The antiderivative is the reverse process of differentiation. The antiderivative is also called the…

Q: Q4- BY usin simpson rule for integration find J=Jo' e* dx. n=10

A: J=∫01e3xdx.   N=10 f(x)=e3x h=b-aN h=1-010=0.1 The value of table for x and y x 0 0.1 0.2 0.3 0.4…

Q: Evaluate the double integral: 3 +9 Lo L₂ Y COS(2 (Hint: Change the order of integration to dy dx.) y…

A: The objective is to evaluate the double integral.

Q: x – 2 dx 9. J x² (x – 1)²

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Q: •3 Evaluate the integral Te dx dy by reversing the order of integration. NOTE: Enter the exact…

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Q: On Integration by Parts [z√z+1dz fe* cost de [r³√³+1 da 1) 2) 3)

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Q: 3. Which antiderivative of y = (1 – x²)-1 should we use to evaluate the integral (1 – x²)-' dx?

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Q: Evaluate the double integral: ¹ sin(x³) Lo Sc vy vy (Hint: Change the order of integration to dy…

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