3. Evaluate. e 12x dx (e12x+13)5 %3D

Q: x e2x dv

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Q: S(2x – 3) dx 5. e6x

A: The given integral is: I=∫(2x-3)e2x2e6xdx=∫(2x-3)e2x2-6xdx

Q: 3 sla? – x²) % dx

A: Given ∫ (a2- x2)32 dx Perform trignometric substitution x= aSin (μ) →υ= arcsin (xa), dx= acos (μ)…

Q: S. 14 V1 + 7x dx

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Q: S, (x3 + e*) dx

A:

Q: Se csc x dx

A: Given: I=∫cosecxdx For evaluating given integral, we multiply and divide given expression with…

Q: (5x* + e*) dx

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 19. csc (x) dx

A:

Q: S e2x+4vã dx

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: S x'V4-x2 dx

A: This question can be solved by substituting x=sinθ

Q: d) +4 dx

A: The answer is

Q: 4 The result of ff*(+√y) dxdy=

A:

Q: a.) S dx 73х

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

Q: S S( 3x² +x³y)dxdy

A: Evaluate ∫13∫023x2+x3ydxdy=?

Q: 6. csch x dx

A: To find the integral of the given function.

Q: 32 6 xp(, x)S 3)dx 4.

A: We can do integration in order to solve the given problem.

Q: За? + 30х +30+ 4а dx (За + а)(г? + 6а + 10) -3

A:

Q: S(x5 + 10)®x*dx 4 X.

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Q: S. Va? +1 dx; n = 6

A:

Q: 8 S[+ +6e² dx = +C

A:

Q: (3 Scoša dx

A: we use- cos5x= cos x (cos2x)2 but sin2x + cos2x=1  therefore- cos5x= cos x(1-sin2x)2 after the above…

Q: S x dx √16-9x4

A: Topic = Integration

Q: 15. S 4cot 5x csc²5x dx

A: We have to evaluate the integral ∫4cot5xcosec25xdx.

Q: 5x. e dx

A:

Q: 2-fx'e-2x* dx

A: To evaluate: I=∫x3e-2x4dx Substituting x4=u⇒4x3dx=du⇒x3dx=du4

Q: p dx. -3x (h)

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Q: | (7x + 4) e dx

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Q: S dx 4+e*

A: follow next step

Q: 15. S 4cot 5* csc25x dx

A:

Q: e (5) Į 1 dx xVln x

A:

Q: 8. S 4 csc² 4x dx

A:

Q: S(e" +e")'dv -2v

A:

Q: S dx x2 x² + 13x

A:

Q: 2. ſ xºcos(4x)dx

A: ∫x0 cos4xdx

Q: S 3cotx.csc² (x)dx

A: Hi,  As per Bartleby rules we are supposed to do only one question at a time.  Kindly repost other…

Q: S 3xe-2x dx

A:

Q: A ezbx? dx 2

A: As per our guidelines we are supposed to solve only one question. For the solution of the first…

Q: 4. 2xe tx dx

A: The given integral is ∫2xe4xdx. Let u=2x  and  dv=e4xdx. This implies that du=2dx  and  v=e4x4.…

Q: 5x e°* dx

A: Given integration ∫e5x dx Use the integration formula, ∫eax dx=eaxa+C ∫e5x dx=e5x5+C Where C is a…

Q: S(? + 1) (2x° – 3) dx .

A:

Q: S(3x2 – x) dx

A: Given integral is ∫3x2-xdx.

Q: In 4 e2x dx 10)

A:

Q: 4. S° e*x²dx

A: Integration by parts: ∫f.g dx=f∫g dx-∫dfdx.∫g dxdx Given integral is: I=∫0∞e-xx2dx Let us evaluate…

Q: 3 5. Sesx )dx e3x.

A: Solving the problem by finding the values of the integration.

Q: 1. S(8x7 + 8x5 – 6) dx |

A:

Q: 1. S(4csc?x – 3sec²x) dx 2. S 6xsin3x²dx

A:

Q: 32. e* dx

A: Hi there !! Since there are multiple questions in the image, we will be solving only the first one.…