Find each indefinite integral.      a. ∫ e1/x/ x2 dx     b. ∫sin x ecos x dx

Q: Evaluate the following integral. e2 ( In (x?) -dx

A: We can use the substitution method to solve it.

Q: Scos"x - sin"x) dx X.

A:

Q: | cos (x)sin(x)dx

A: We have to find the integration

Q: 25. Evaluate the following definite integrals. c) LIVII – x dx

A:

Q: dx 1 = S- g2+x2

A: Solve

Q: 1. Evaluate each integral below. e* — 2е -х + e8 dx А. 3 e x2 В. dx x3

A:

Q: 3 2 4x 6. S x´e* dx

A: ∫ eau du = 1a eau +C ; where , 'C' is an integration constant .

Q: Scsc' xcot' x dx S(x + sin x) dx S sec' x dx

A: We have to find the indefinite integral.

Q: 71. Perform the following definite integral. 2 (1 – e-x/2) dx x=0

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: (Inºx– 3lnx) *dx

A: Given that∫ln6x-3lnx4x dxSolution :let…

Q: dx 9. S x²+25

A:

Q: Evaluate the following indefinite and definite integrals: S(x' +e* )dx

A:

Q: 23 dx 'e xyIn x

A:

Q: I = 1 + (x-a)k dx [x-a

A:

Q: Evaluate the following integral. 12 S 0 4 log 13 (x + X + 1 1) -dx

A:

Q: S 42x dx

A: Given,           ∫42x3dx

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx

A: see below the answer and calculation with steps

Q: Which of the following represents the symbol for the indefinite integral? S dx dy b a Σ

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Q: S(e3x + 1)² dx

A:

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

A: Use the trigonometric identity cos2x=1-sin2x to simplify ∫cos3xsin4x dx. ∫cos3x·sin4x…

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. dx 2. 4-x-

A:

Q: Find the following indefinite integral. X 12 xp. X

A: This is a simple integration problem. I have listed the property used

Q: Find the indefinite integrals, if possible, using the formulas and techniques.

A: Given, part a: ∫x-1 Now we use the substitution u=x-1 so dx=du ⇒u du We know that, ∫xadx=xa+1a+1,…

Q: dx x-1 4

A: Here we take the substitution x-1 = u to solve this integration.

Q: Find the following indefinite integral. 12 xp. 12 dx = xp.

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Q: 3. In x (2) d.x

A:

Q: dx 2. x?V4-x2

A: Let x=2sin(u)⇒dxdu=2cos(u)⇒dx=2cos(u) du  and u=sin-1x2 ∫dxx24-x2=∫2cos(u) 2sin(u)24-2sin(u)2du…

Q: A. Evaluate each of the following definite integrals. 2 S (8x3 + 3x2) dx 1.

A: Given that:

Q: Find the indefinite integral of t/1+t

A: Here we have to find the indefinite integral of t/(1+t) .

Q: 1) Find each indefinite integral. a. / 5 dz /-1 dr b. dt

A:

Q: g. çdx Vx5 + 1

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: |e(1+e*}*dx

A: Integral.

Q: Solve the following integral xe* dx 1

A: Calculate the integral         ∫12xex3 dx

Q: Evaluate each of the following.definite integrals. L,(7 – 3x)dx 1.

A: Kindly keep a note in step 1️⃣ stating that as per our guidelines we are supposed to answer only 1️⃣…

Q: Find the indefinite integrals, if possible, using the formulas and techniques.

A: (a) To integrate: ∫ex2dx We know that, ex=1+x+x22!+x33!+⋯⋯=1+x+x22+x36+⋯⋯ Now, ex2=1+x2+x42+x66+………

Q: Evaluate the following integral. X'e dx

A:

Q: (x2 + 2x - 2)dx 3

A: The objective is to evaluate the definite integral .

Q: Evaluate the definite integral. e4 – x dx 14

A:

Q: S 3* 2*dx

A: We have to use the exponential rule of integration . From the exponential rule of integration we…

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx dx 2. xV4-x?

A:

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

A:

Q: 1. Find the following indefinite integrals. 1 (а) xp /3 – x²

A: We can find the integrations as below

Q: L(3x+e")dx Jo

A:

Q: Evaluate the definite integral. e2 - x dx

A: The given integral is as follows. Let u=2-x. Then, du=-dx. The Lower limit will be u=2-2=0 and the…

Q: Find each definite integral: dx A. xlnx 3. dx 3+ x 0. B.

A: To find:-

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. dx

A:

Q: 24 e121n(x²) 2)) dx

A:

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Sh dx

A: Since we are given with the multiple number of question and our guideline is solve first question…