Evaluate the definite integral. -2 (и — 1)? dz

Q: evaluate the definite integral.

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

Q: Evaluate the definite integral.    ∫01 (3 t  - 1)50 dt

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Q: Verify the value of the definite integral, where n is a positive integer.

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Q: Evaluate the definite integral ax -dx, where a=9, b=1 and c=7. Write your b+cx2 answer up to two…

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Q: (27 dy 7. ソー

A: Definite integration

Q: Evaluate the definite integral. (Assume a > 0.) 'al/5 x°Va? - x10 dx

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Q: 5. If a and b are positive constants, evaluate the following integrals: ,-bx e-ax -e -dx; (a) (b)…

A: The objective is to evaluate: ; where a and b are positive constants.

Q: Evaluate the definite or indefinite integral, if they exist. If they do not exist say DNE: S (4x +…

A: To evaluate the given integral

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. 1 e? + 6 dz Jo ez + 6z

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Q: Evaluate the integral. sinh? (x) cosh(x) dæ =

A: solve the integral

Q: Evaluate the definite integral on the interval [e, e^64] dx / x sqrt{ln(x)

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Q: Зу? + у — 1 y?

A: We have to solve the given definite integral: ∫123y2+y-1y2dy Rewriting the integral and solving the…

Q: (-2 sec X ton X-7 sec?x)t

A: We can use method of substitution in order to solve the given integration.

Q: Evaluate the definite integral below. (-6r'i+ 10r*j+ 6:k)d:

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Q: Evaluate the definite integral.

A: Given: I=∫oaxx2+a2dx          , a>0 for evaluating given integral, we substitute x2+a2=t2…

Q: Evaluate the definite integral.

A:

Q: Evaluate the indefinite integral 5e" dæ S 5e² dx +C

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Q: Evaluate the definite integral. 5 cos(πt/2) dt

A: We have to find

Q: Evaluate the definite integral: - 6 e!/I dx

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Q: Evaluate the definite integral: T/4 sin(40) de =

A: We will evaluate the definite integral in the following step.

Q: Refer to the definite integral to answer the following questions 3 1² (2²) (x²) dx

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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: Evaluate the definite integral /,(t + 2)(t – 3) dt. Select one or more: 125 a.

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Q: a xp: х? Q.90 What is the value of the definite integral, J + Va-x

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Q: Sx sech ? x dx

A: To evaluate the integral: ∫x sech2x dx Solution: Integral by parts states that: ∫u dv=uv-∫v du…

Q: |(x? - 1) dx. Use the definition of the definite integral to evaluate

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Q: Evaluate the definite integral (3e2t, 15t4) dt.

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Q: Evaluate the definite integral T 8 sin(x)da

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Q: Among the given choices, which of the following definite integrals have the largest value? A dr B x2…

A: We need to find the largest value from the given definite integral. This can be done as follows:

Q: e +1 dz e + z

A:

Q: b) f6xæ**dx 4 cosht)dt

A: We have to find the integrals.

Q: Which of the following definite integrals has the greatest value? (A Зах -2 B 2 dx xdx .3 2xdx

A: Given : A∫-223dxB∫152dxC∫04xdxD∫032xdx

Q: Evaluate the definite integral xp, a) S b) S

A: ∫011+7x3 dx Consider, ∫1+7x3 dx=∫1+7x13 dx=1+7x13+113+17+C     ∵∫xn dx=xn+1n+1+C & x-coefficient…

Q: Evaluate the definite integral. 6. -x e dx eX + 5

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Q: Evaluate the following integrals. Express the final answer in its simplest form and without negative…

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Q: Evaluate the definite integral: = rp |I – ,7|

A: Given: I=∫05x2-1dx   From the rule of inequality; x2-1<0 when -1<x<1x2-1>0 when x>1…

Q: Evaluate the definite integral I (14e + 10z)dæ

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Q: Evaluate the definite integrals a) Vi dt = 16 1 dz = b) 64 / dx = 8.

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Q: Evaluate the indefinite integral. fo(z - 7°dz + C

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Q: Evaluate the definite integral below. -10r i+16r' j+8t k dt

A: ∫12-10t4 i+16t3 j+8t k dt

Q: Evaluate the definite integrals

A: Given,

Q: B) S 12 sec 3x tan 3x dx

A:

Q: Evaluate the definite integral. I's 5 cos(nt/2) dt

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Q: Among the given choices, which of the following definite integrals have the smallest value? A dr B…

A: Definite integrals are given we have to find the integral that has smallest value

Q: Evaluate the definite integral. e + 6 dz e? + 6z

A: We need to evaluate the following limit ∫01ez+6ez+6zdz                             .........1

Q: Evaluate the definite integral 15 cos(t)dt:

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Q: 20. Evaluate the following definite integral: , sec?x dx

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Q: Evaluate the definite integral.

A: Given:∫-12 10e2x25 + e4x dxFormula:∫dxx2+a2 =1a tan-1xa +C