(10x – 3x + 1)dx

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

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Q: Evaluate the following integral using the Fundamental Theorem of Calculus.

A:

Q: (b) Use the Fundamental Theorem of Calculus to evaluate the integral 8 x-6 So ²x+8 dx

A: Use fundamental theorem of calculus to evaluate the integral.

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A:

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Here given as

Q: Evaluate the following integral using the Fundamental Theorem of Calculus. 2s - 6 ds

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Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 4x(1 – x² )dx = i

A:

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 5 4x(1 – x² )dx = i

A:

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. | 4x(1 – x² )dx = i -1

A:

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: We need to evaluate the integral using the fundamental theorem of calculus:

Q: Evaluate the integral using the methods covered in the text so far:                    ∫ 2xe4x dx

A: Consider the given integral. I=∫2xe4xdx Put u=2x in the equation. u=2xdu=2xln2dxduln2=2xdx

Q: Using only the definition of RS-integral, evaluate 2 ,2 d[x}.

A:

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A:

Q: Using only the definition of RS-integral, evaluate .2 x* d[x}.

A:

Q: S)Use the Fundamental Theorem of Calculus to decide if the definite integral exists and either…

A:

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Given: Definite integral Sum Rule of integration,

Q: Using only the definition of RS-integral, evaluate 2 |x* d[x}.

A:

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A:

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Given that  First fundamental theorem        Let f be a continuous function on [a,b] and F is anti…

Q: Evaluate the following integral using the Fundamental Theorem of Calculus. 3s2 - 6 ds .3 3 352 ds 3…

A:

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Given: I=∫0π4secxsecx+cosxdx for finding given integral, first we simplify given expression then…

Q: Evaluate the following integrals using theFundamental Theorem of Calculus. Explain why your result…

A: The given integral is ∫-π47π4sinx+cosxdx

Q: Compute integral below with the use of substitution. eð 1 -dx x In° x

A:

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Given: ∫192xdx

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Consider the following integral: ∫-22x2-4dx=F2-F-2 Fx=∫x2-4dx=x2+12+1-4x+C=x33-4x+C

Q: Use the form of the definition of the integral given in the theorem to evaluate the integral. (18…

A: ∫3718-6xdx

Q: Evaluate the following integral using integration by parts. In 6 хеX dx

A:

Q: Evaluate the following integral using the Fundamental Theorem of Calculus. Discuss whether your…

A:

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 3 | 4x(1 – x² )dx = -1 i…

A: Given that: ∫-134x(1-x2)dx

Q: Evaluate the integral using the methods covered in the text so far:                    ∫ e9−12t dt

A: Given integral: ∫e9−12tdt Let u=9-12t and differentiate it w.r.t 't' dudt=ddt9-12tdudt=-12-du12=dt

Q: Using only the definition of RS-integral, evaluate .2 x* d[x).

A:

Q: evaluate the integral.

A:

Q: Evaluate the following integrals using the Fundamental Theorem of Calculus 3 16 x+x² - x4 dx

A:

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: We have to evaluate the integral given below:-∫-2-1(x-3)dx -(i) using fundamental theorem of…

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 4 4x(1 – x²)dx = i -1

A: To find the value of given integral.

Q: Evaluate the integrals in the following questions using integration by parts for SincE In (x + x²)…

A:

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: By the fundamental theorem of calculus, we get ∫abf'(x)dx = f(b)  - f(a) Here f'(x) = 4x3 Integrate…

Q: In 3 | (1- x)e"dx X In 3

A:

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Here given I=∫012dx1-x2 Since ∫dx1-x2=sin-1x+C

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 5 | 4x(1 – x² )dx = -1 i

A:

Q: Evaluate the integral. In 2 tanh x dx

A: ∫02tanhx dx=∫02sinhxcoshxdxUsing formula ∫f'(x)f(x)dx = ln|f(x)| +cHere , f(x)=sinhx , f'(x)= coshx

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Given integral: Use fundamental theorem of calculus ∫abftdt=fb-fa

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 4 | 4x(1 – x*)dx = i -1

A:

Q: 1 X° - 1 - dx In x ах

A: According to the given information, it is required to evaluate the given integral.

Q: In 3 | (1– x)e"dx X — х In 3

A:

Q: dx

A: Let  x-2 = t  Differentiating both sides dx= dt

Q: obtain a formula for any integral of the form (- a)* dz.

A: Given∫xb-1(cxb-d)kdx

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 2 | 4x(1 – x² )dx = i -1

A: Given,    ∫-124x(1-x2)dx

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: We have to evaluate the integral using fundamental theorem of calculus: ∫0ln8ex dx We know the…