2x dx Using an appropriate substitution, evaluate: (A 4

Q: dx 1. Evaluate

A:

Q: 2x dx Using an appropriate substitution, evaluate:

A: It is a basic definite integration problem

Q: dx 3 (x – 6x + 18, 2

A:

Q: d 14t5 dt = ? 7. dx 1.

A: Please see the answer in Step 2

Q: 64 dx. V Evaluate

A: The detailed solution is given below Thank you

Q: d 2) (In(csc? x)] dx I.

A:

Q: | V1 – 47² dx.

A: We know that sin2(u)+cos2(u)=1   ⇒ 1-sin2(u)=cos2(u) cos2(u)=121+cos(2u) sin2 sin-1y = 2y1-y2

Q: Evaluate -dx (л — 1)(1? — 6л + 10)

A: The given integral is  I=∫-∞∞2x-1x2-6x+10dx Using the partial fraction , we get…

Q: dx Evaluate 3x – 12 O - 00 + 00 1

A: Let's find.

Q: dx 25+4x?

A:

Q: 36x dx e Evaluate

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Q: L, x? 8(x – a)dx

A:

Q: dx Evaluate | V5x – 7

A:

Q: d Evaluate (3*). dx

A: Given  The derivative is ddx3x .

Q: 2 x²√x²+9 dx

A:

Q: 3 dx x? + 9

A:

Q: 2. dx 2. *? i Ma?

A: To find the value of m? Given:- ∫1m1x2dx = ∫m21x2dx

Q: dx What is the value of -1

A: To Find: The value of ∫-11dyy∫1eydxx

Q: dx Evaluate Зх— 12

A:

Q: J 81 e dx %3D 81 e 5x 5x + e (Simplify your answer.)

A:

Q: (3x dx +x+ O 117 O 45 O 252 0498

A: Given integral is  ∫06(3x2+x+3)dx

Q: Integrals Evaluate each integral.

A: Let the given integral be -y = ∫25225dxx2+25xy = ∫25225dxx2+25x+2522-2522y =…

Q: h(x) da (In(x), d

A: ddxhxlnxuse u/v rule:-

Q: Using u- substitution, | x³/25 – x² dx is equivalent to

A: Take   25-x2=u i.e;      x2=25-u Differentiate the above 2xdx=-du xdx=-12du Substitute the  values…

Q: dx * To evaluate the most appropriate substitution to use is /3+x/4

A: ∫1x13+x14dx If we get fraction in the exponents then we take LCM so that we try get whole number in…

Q: Evaluate using the method of trig substitution 6. S dx √16-x²

A:

Q: Si +dx = -2 x 2 False O True

A:

Q: dx 3.

A:

Q: ese²x Evaluate Cotx 3. dx

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Q: sin xdx is О а. л 4 O b. 3 O d. 6

A: Integration and trigonometric identity.

Q: 9. Se?*+2 dx II

A:

Q: メ+lo93 dx =? 3. dX =?

A: Given,          ∫3x+log3xdx

Q: (In a)? dx Choose 1 answer:

A:

Q: 1 dx x/x? – 4

A: Put x=2 sec theta

Q: x2 x³ + 8 to dx. Evaluate

A: Given: ∫1∞x2x3+8dx

Q: dx Evaluate xV – 9 13

A:

Q: 2.1-dx 3.J12x³dx

A: Here we use formula of integration.

Q: Using an appropriate substitution, evaluate: dx A D

A:

Q: (8x? + 2x) dx = 2x + x? Select one: OTrue O False

A:

Q: dx Evaluate Зх — 12 A) 0 + 00 C) 1 D 00 B.

A: Please see the answer below.

Q: Evaluate (a) (In.x)* dx. (h) (c) [VIn(1/x)dx Ans. ta) 24. (h) – 3/128. (c) fr

A: To evaluate: (a) ∫01ln x4 dx (b) ∫01x ln x3 dx (c)  ∫01  ln 1x 3  dx

Q: 4 er substitution is performed, which of the following is equivalent to L*x³ VI +x*dx ?

A: Using substitution we solve the intregation.

Q: 27. x(2 + x') dx Jo

A: integration

Q: c) Evaluate [xV2–x? dx by using substitution method.

A: Integrate by substitutions

Q: et dx 3 (9 + e2ª)ž

A: Solution: ∫ex9+e2x32dx Apply u substitution: u=ex dudx=ex⇒du=exdx⇒dx=1exdu

Q: Using the Method of Substitution, evaluate : 41x dx V1 – x2

A:

Q: у — За)dx + (: urve passing thro tisfying the diffe

A:

Q: Evaluate. 7 dx 312

A:

Q: I. Evaluate | 4x² + 4x + 5 dx

A: