11. Evaluate the indefinite integral f 12 tan t sectt dt. [Hint: use a trig identity.]

Q: f ³In xdx .3

A: Given,        ∫x3lnx dx=

Q: Evaluate the definite integral.

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Q: Evaluate the indefinite integral

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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 indefinite integral.

A:

Q: Evaluate the indefinite integral. 4 dt (t + 11)? + C

A: Integration of 4/(t+11)^2.

Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 8 3 dt t 1

A:

Q: Evaluate the indefinite integral. asin (a)cos(2)dz: + C %3D

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Q: dx

A:

Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. V3 2 8 dx V1-x?

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Q: Evaluate the definite integral. t(5 – t)² dt

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Q: Evaluate the integral. ∫0 π/4 tan4 t dt

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Q: Find the definite integral using the Fundamental Theorem. dt 6t NOTE: Enter the exact answer. 1 dt…

A:

Q: Find the integral t5 cos |dt using the substitution u = t6. Enclose arguments of functions in…

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Q: Find the indefinite integral. | (0.9t² + 0.06t + 2) dt + C

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Q: Use a substitution of the form u = ax + b to evaluate thefollowing indefinite integrals.∫ cos (2x +…

A: ∫cos2x+5 dx Now put 2x+5=u Differentiating with respect to x, we get 21+0=dudx⇒2 dx=du⇒dx=du2

Q: 21. Write the definite integral that repre formed by y = x² + 2x + 1 and y=2x+5. Do:

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Q: Evaluate the indefinite integral: ∫t−6/11 dt

A: The integral of xn is given by: ∫xndx=xn+1n+1+C   Using the above rule:…

Q: evaluate the indefinite integral.

A:

Q: Evaluate the following indefinite integral. dt = (t – 5)°

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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: Consider the following propositions associated with the study of the +∞ dx J - 1.1² √6 +1 improper…

A: Given : ∫1+∞dxx  in which 1x6+1≥1x

Q: Evaluate the indefinite integral: ∫e3t−4 dt

A: Solution:Given      let     I=∫e3t-4dtFormula:∫exdx=ex+C

Q: Evaluate the indefinite integral. dt I (t + 13)8 + C

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Q: Evaluate the indefinite integral.   ∫ Sec3t  tan 3 t dt

A:

Q: Find the indefinite integral

A: Given: ∫t1-t4dt

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

A:

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 indefinite integral. 10 dt t+7

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Q: Evaluate the indefinite integral. dt (t + 6)*

A: Explanation of the answer is as follows

Q: Find the indefinite integral.

A: Given : ∫tan2tt2dt

Q: Evaluate the definite integral. 1/7 2 dt

A: From the given problem:   I=∫-10t17-t27dt   From the properties of the integral:…

Q: Evaluate the definite integral. •4 ti + t?j| dt 3 |(7 - 1) 2 17 3 173 3

A: The value of the given integral is 1/3(173/2 - 1)

Q: Evaluate the indefinite integral. 5 dt (t + 7)³

A: Given: ∫5t+73dt we know that ∫dxx+km=x+k-m+1-m+1+c

Q: Evaluate the following definite integral. 21 | (i+ 6ij + 5t k) dt -2

A:

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 definite integral. T/4 (x + x* tan(x)) dx |-n/4

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Q: Show detailed solution for the following integral: (Non-anonymous questionO) S tan'z sec³z dz 7

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Q: Consider the following. 9. dx x2 + 18 (a) Evaluate the integral with the Fundamental Theorem of…

A: The solution are next step

Q: Evaluate the following indefinite integral. 2 dt = (t – 5)° -

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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: 3) Use long division to evaluate the indefinite integral f „s dx.

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Q: Evaluate the integral.

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Q: Evaluate the definite integral. ' sin(4t)dt 1/2

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Q: t3 et" dt

A: Given, ∫t3e-t4dt We have to evaluate the indefinite integral.

Q: 9. Evaluate the indefinite integral x'V4-x² dx . 3 Hint: Let u = 4 – x² and write x' = xx?.

A: Given ∫x34-x2dx

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: Evaluate the following definite integrals using the Fundamental Theorem of Calculus.  1. ∫13…

A: This question can be solved using the concept of fundamental theorem of calculus.

Q: What is the definite integral of "(4) / (x^4 - 81) dx " from bounds 5 to 10.

A:

Q: Evaluate the definite integral. (3t – 1)66 dt

A: From the given problem: I=∫033t-166dt    ...1 As we know that, the power rule: ∫xndx=xn+1n+1+C ;…