Evaluate the definite integral | (16 – a*)dæ -

Q: Find the indefinite integral. est dt = +C.

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Q: Find the indefinite integral.

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Q: In(tan-1x) -dx 1+x?

A: Given,           ∫1+∞lntan-1x1+x2dx

Q: Evaluate the integral / -2(In x)? dx

A: Given,         ∫-2lnx2dx

Q: Evaluate the definite integral. t1/3 t2/3) dt 3 20

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Q: compute the definite integral.

A: ∫1elnx dxx2

Q: dr 5. 1 r+3

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Q: Evaluate the integral f cosh x -dx cosh? x-1

A: Given, Evaluate ∫coshxcosh2x-1dx

Q: Evaluate the definite integral.

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Q: Evaluate the integral 169 S. 13 dx 3 x( In x)³

A: Given integral ∫13169dxx(lnx)3. The objective is to evaluate the integral.

Q: Consider the indefinite integral dr: (a2 + 1)

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Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral:

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Q: dx

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Q: Find the indefinite integral ∫(ti + 3j) dt.

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Q: Evaluate the definite integral. 7ti + tk) dt

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Q: Evaluate the integral from -n/2 to +t/2 of x² sin x.

A: Given integral

Q: Evaluate the following definite integral using Calculus: 2 (3x² +1)dx -2 3.

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Q: Evaluate the definite integral. 1 da = 3 +2

A: ∫391x+2dx find definite integral

Q: compute the definite integral.

A: Our Aim is to compute the definite integral given below:-∫12 x ln (x) dx-(i)

Q: Evaluate the integral, if it exists.

A: Given: I=∫04x-1dx for evaluate given integral, we break it in two parts as given below…

Q: Evaluate the indefinite integral: ∫(5t3 − t−3) dt

A: To find, ∫5t3-t-3dt

Q: 13. | sin(Tt/3) dt

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Q: Evaluate the definite integral

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Q: Evaluate the definite integral. 5 t* In(3t)dt

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Q: Evaluate the following integrals.

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Q: Evaluate the integral, if it exists.    ∫ (8 x3  +3x2) dx

A: Given- ∫8x3+3x2dx To evaluate- The above integral. Formula used- The power rule, ∫xndx=xn+1n+1+C,…

Q: Evaluate the integral.

A: The given integral is ∫1+ex2exdx.

Q: Find the indefinite integral

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Q: Evaluate the definite integral. 5. ti j til dt

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Q: Evaluate the definite integral tª In(4t)dt 1

A: Here we have to use integration by parts∫uvdx=u∫vdx-∫dudx∫vdxdx  where u and v are function of x and…

Q: Evaluate the following using geometric application of definite integral:

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Q: Evaluate the definite integral. da r(1+ In z)

A: We will use fact that  ln(a)b=b.ln(a). And ln(1)=0.

Q: Evaluate the integral a* In(x) dr

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

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Q: 24. dx AX

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Q: Evaluate the definite integral: I Va de

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Q: /3+ |æ| dx -3

A: Given integral, ∫-333+xdx

Q: The value of a definite integral is always nonnegative. True False

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Q: de 2/2 V5 9 18

A: Solution: Here let I=∫dxx29-x2 Substitute: x=3sinu u=sin-1x3 and dx=3cosudu Thus,…

Q: Evaluate the definite integral In 4 tanh x dx

A: To calculate the value of the definite integral involving hyperbolic functions

Q: the one i circled is the one i am struggling on. i need help with that problem.

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Q: Evaluate the indefinite integral. dt 6 (t + 13)° + C

A: Explanation of the answer is as follows

Q: 28. Je sin i dt

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Q: Evaluate the integral, if it exists.

A: Given: An integral ∫03|x2-4|dx x2-4>0, for x≥2 x2-4<0 for x<2 Thus,…

Q: evaluate the indefinite integral.

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Q: Find the indefinite integral. 6x? et

A: Given, ∫6x2exdx  We have to evaluate the indefinite integral

Q: Evaluate the definite integral. 7 ° In(3t)dt =

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Q: Evaluate the indefinite integral. 4 -dt (t + 10)° + C

A: Given: Let I=∫4t+106 dt To Find: To evaluate the given indefinite integral.

Q: Evaluate the integral. +C

A: Consider I=∫ln7x2 dx

Q: Determine the following indefinite integral.

A: Indefinite integral is basically an integral without upper and lower bounds, i.e. its boundaries are…