Evaluate the definite integral. 1 dx V2-x

Q: 9. Evaluate the following definite integral. In x - dx P 1+3 (b) [*m* dx dx

A: Given: I1=∫0111+x2dx, I2=∫12lnxxdx we know that ∫dt1+t2=tan-1t+c…

Q: evaluate the definite integral.

A: We rewrite the given integral using the double angle formula

Q: Evaluate the following definite integrals: а. бх dx (4 – x2)*2

A: topic - definite integral  note : as per bartleby guidelines we are supposed to answer only first…

Q: e Evaluate the integral -dx. You may need to do the appropriate substitution first. x3

A: See the details solution in below

Q: Evaluate the definite integral. 1 #111: e3/x dx а. xe dx b. #113: 0. 1

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Q: (3) Evaluate the definite integral i r8 x+x² dx.

A:

Q: Evaluate the definite integral. ¤(x² + 7)°dx (b) / z x/1 – x²dx (a)

A:

Q: Evaluate the definite integral. (Assume a > 0.) 'a²/5 x*Va? - x5 dx

A:

Q: 3 In 3x Evaluate the definite integral : dx 6x2 Answer:

A: To evaluate the given definite integral

Q: 9. √x SOL -√√x dx

A: We will solve the given integral using simple Integration rules.q

Q: C) Evaluate the definite integral: | (5x – e²) dz

A: Given definite integral is: ∫-535x-exdx

Q: Evaluate the definite integral. 2 e 1/x4 dx x5

A: To evaluate the definite integral.

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

A:

Q: d) V1+x? dx

A: Consider the provided question, We need to evaluate the definite integral ∫01 x31+x2dx

Q: Evaluate the definite integral.

A: Consider the given integral. I=∫-π3π3x4sinx The given function is continuous function in the given…

Q: Evaluate the definite integral: 4 dx 0 x2+16

A:

Q: Evaluate the definite integral. 2 e 1/x* dx x

A:

Q: 2. Evaluate the given definite integral, if it exist. V4 + 3x dx

A: To evaluate

Q: Evaluate the definite integral. 피/2 x° sin x dx -T/2 1 + x6

A: The given function is x6 sinx1+x6 We have to integrate this function over the interval -π2, π2.

Q: Evaluate the definite integral. '4 I 4? + 2)°x dx

A: Let x2+2→u Differentiating both sides of the above equation with respect to x, we get…

Q: 7.) Evaluate the following definite and indefinite integrals a.) ò (5-2x* -2x*-cos.x)dx +6x)dx b.)

A: Follow step 2

Q: Q19: Evaluate the definite integral: (5 – 2x)-2 dx Jo

A:

Q: 3. Evaluate the definite integral. Give exact answers S(x² + 2x – 4)dx - a. ~2 2x+1 dx Vx2+x-2 b.

A: Take integration. Follow step 2nd .

Q: evaluate the definite integral.

A:

Q: dx x-1 4

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

Q: Use the Change of Variables Formula to evaluate the definite integral. dx (x? +2) (Use symbolic…

A:

Q: (3) Evaluate the definite integral e + e -dx

A:

Q: Evaluate the following definite integral. a) 3 dx 2x +

A: Given: a  ∫142x+3xdxb  ∫π/3π/2sec2x2dxc ∫01e1-xdx

Q: Evaluate the definite integral. · V½ dx

A:

Q: 4 -dx |1-x* 2

A: The given problem is to evaluate the given definite integral with given limits of integration.

Q: 4 S* 6x + 2 dx

A: the objective is to evaluate the integral.

Q: Evaluate the definite integral. 25 10e V X dx 0/

A: We use substitution method

Q: Evaluate the definite integral I. 1 = [₁² [(e-x + 1) dx -1 I =

A:

Q: Evaluate the definite integral. esin (a) cos(x) d x

A:

Q: Evaluate the definite integral. 'al/3 x5, х6 + а? dx (a > 0)

A:

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

A:

Q: Evaluate the definite integral 05/dx. Give an exact, completely simplified 0.5_6x² answer. Hint:…

A: Use  substitution method for solving integral.

Q: 3) Evaluate the following definite integral : x 1 + x dx

A: We are solving the first question and for the next question post the question again andalso mention…

Q: 4/3 /3) dx -1

A:

Q: Evaluate the definite integrals. (a) ſ°, 2r(x² – 3)³ dx

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: a) Find the definite integrals of the following functions (i) Sx(x² +9)10 dx (ii) xp xu)x (iii) S…

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Q: 7. Evaluate the definite integral by hand. x dx -1 x' +1

A:

Q: Evaluate the definite integrals

A: Given,

Q: Evaluate the definite integral. (x2 - 2)2 dx

A: To find the integration

Q: Evaluate the definite integral. dx JT none of the choices

A:

Q: |2+|x| dx –1

A:

Q: Evaluate the definite integral. (a) S, (x³ – 6x² + e-*)dx (b) S G+ 2)dx

A: a) ∫02x3-6x2+e-xdx=x44-6x33+e-x-102 Formula: ∫xndx=xn+1n+1 and ∫emxdx=emxm=x44-2x3-1ex02…

Q: Evaluate the definite integral. Son f (x) dæ, ƒ (x) =6e" /(4+e*)

A: It is known that: ddxekx=kekx∫ekxdx=1kekx+C