4 /1– 4x² dx 4х

Q: e2x sin 2x dx

A:

Q: Evaluate the following integrals using the required method of integration. Show complete, clear, and…

A:

Q: In the given equation/s as follows , find the indefinite integral:-   See the question as attached…

A: Let x=sin2u. Therefore differentiating both sides: dx=2sinucosu du Substitute x=sin2u in the…

Q: r In x 2

A:

Q: In the given equation as follows , use a table of integrals to find the indefinite integral:- See…

A: Given: I=∫excos−1(ex)dx

Q: x'dx 1. (16 –x²)

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

Q: In the given equation/s as follows , find the indefinite integral:-   vSee the quaetion as attached…

A: We know that, if, y=arcsecx then, x=secy. We use the above substitution to find the given integral.

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: ∫xe6x2-4dx

Q: In the given equation as follows , use a table of integrals to evaluate the definite integral :-…

A: Integration means addition it is used for adding continuous function which can't be added by simple…

Q: V1+x² 17.

A:

Q: Evaluate the following definite integral by using suitable trigonometry substitution: √2√3-2² dx.

A:

Q: I. Evaluate the following integrals. Check by differentiation. S sin 50 cos 50d0

A: Given;            ∫sin 5θ cos 5θ dθ Apply u-substitution: u=cos 5θ⇒du=-5 sin 5θ dθ            =∫-u5…

Q: In the given equation as follows , use a table of integrals to find the indefinite integral:-…

A: Given: ∫arccot4x-5dx

Q: Evaluate the given integral. Use exact values. – 2x – 14 dx (x + 3)(x – 5) +C

A: topic - indefinite integral

Q: 7. Į V1- xdx 8. ſ e2x dx

A:

Q: 1 x?g* dx. -1

A:

Q: Evaluate the following indefinite integral. Use C for any constant of integration. 56 dx x2 – 49

A:

Q: In the given equation/s as follows , find the indefinite integral:- See the equation as attached…

A: Given, 22I=∫1x9x2+1dx

Q: Evaluate the following indefinite integral. Use C for any constant of integration. da dæ x4/16x² –…

A: Given problem:-

Q: Evaluate the following indefinite integrals using integration by trigonometric substitution.…

A:

Q: dx

A:

Q: In the given question/s as follows , find the indefinite integral :-   see the question as attached…

A: Here given as I=∫0π2sin9xdx

Q: Calculate the following definite integral: 2x² + 5x dx

A: Given ∫022x2+5xdx

Q: Integrate the following integrals using either integration by parts or integration by substitution.…

A: I=∫e-2θsin6θ dθ Integrating by parts, we get I=∫e-2θsin6θ dθ=e-2θ∫sin6θ dθ-∫de-2θdθ×∫sin6θ…

Q: Q: Find the integral for the following functions: - 4) S cosh2 (x). sinh?(x). dx

A:

Q: Find the integral for the following functions: - S exp(ln(2)2x)dx

A:

Q: 5. Í sin 2e de 6. ſer cosh x dx

A: We have to integrate and have to check the answer

Q: S dx х+2

A:

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: Here we have to find the Given integral using substitution method.

Q: Find the integral for the following functions: - ſ e3x . sinh(x) dx

A:

Q: Vex – 1 dx c2

A:

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A:

Q: Evaluate the following integrals using the substitution method. Answer numbers 1-2. Show your…

A: NOTE: You have posted multiple questions, we have solved the first question for you, if there is a…

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS: Identify the u and find 4 sec?x dx

A: Please refer to the image below

Q: 9— е2х dx a.

A:

Q: Use a change of variables or the table to evaluate the following definite integral. 15 e 3x dx

A: Given integral is ∫0315e3xdx Substitute 3x=y ⇒3dx=dy⇒dx=dy3 And limit of integration will be change…

Q: Evaluate the following integrals using Integration of Exponential Functions. 12. dx 13. [ 2** dx

A:

Q: Evaluate the following integral: in4 sinh x dx

A: Use another form of sinhx

Q: 2+(ln x)3 5. J x(In x)2+In x) ах

A:

Q: Evaluate the following definite integrals using substitution: jx(1-6x* )'dx

A:

Q: i. Inx dx

A:

Q: -c) S dx d) Sdx 4+x2 4+x2

A: To evaluate (c)∫dx4+x2(d)∫x4+x2dx

Q: 1 dx 2 х3 — х3

A: Given: I=∫1x23-x13dx   ...1   We know that; ∫1ax+bdx=1alnax+b+C

Q: Evaluate each of the following indefinite integrals using substitution, expressing your final answer…

A:

Q: 1. sin Va +1 dx

A: The integral function is ∫sin3x+1dx

Q: Solve the following integrals: i. S(e**sin(2x))dx using integration by parts or tabular meth

A:

Q: Evaluate the following integrals using Integration by Substitution. 9. S tanx dx

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: Find the following indefinite integrals: 243 dr (a) 192 (b) S(V= - 2") dz

A: here we have to solve , a) ∫x2+3x3+9xdx b) ∫x53-2xdx

Q: Find the indefinite integral using the substitution x = 4 sin(0). (Use C for the constant of…

A: To find the indefinite integral ∫116-x232dx

Q: Evaluate the following indefnite integral. You must show work. (e –3x +x)dx

A: We can find the answer as below