Find the indefinite integral. (Use C for the constant of integration.) cos5 t dt sin t

Q: O:: Find the integration for the following functions: - (answer three only) In(x²+x)-Inx-elnx dx…

A: SOME RESULTS(FORMULAS): dlnxdx=1x dxndx=nxn-1 d(sin ax)dx=a cosx d(cos ax)dx=-a sinx ∫sinaxdx=-cos…

Q: II. Perform the integration. sinh?(e-") dx pr Coshle-x 4.

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Q: Find the indefinite integral using the substitution x = 4 sin(8). (Use C for the constant of…

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Q: II. Perform the integration. sinh?(e-") 4. e# cosh(e-¤) dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) S cos a sin adx cos + C 7…

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Q: Use the basic integration rules to find or evaluate the integral. (Use C for the constant of…

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin 30 Vcos 3e de 2 cos 30{3…

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Q: find integration: S x² dx O x?/3 O x*/3 O none of the above

A: We need to evaluate the following integration ∫x2dx Formula Used : ∫xndx = xn+1n+1

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt | cos?(t) V4 + tan(t)…

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Q: Find the following indefinite integral. Use C for the constant of integration. VI + 3 V) dx Answer

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Q: Find the indefinite integral. (Use C for the constant of integration.) 5 x/ 25 - (In x)? In(n1) 5…

A: The given integral,∫5x25-ln x2dx

Q: a) Integrate the following expressions with respect to x. Then, find the value of the function…

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Q: In the given equation as follows, use integration tables to find or evaluate the integral :- see the…

A: ∫0π2x1+sinx2dx Consider, ∫x1+sinx2dx Now put, x2=t⇒2x=dtdx⇒x dx=dt2 Therefore,…

Q: Find the indefinite integral. (Use C for the constant of integration.) fe- cos 90) de

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Q: 1 dx 1) Evaluate the integral sinh r

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Q: aluate the integral. (Use C for the constant of integration.) -- cos(50) de

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Q: Qa: Find integration for the following functions: - c- f cos(lnx).dx

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Q: (7x²) · e3*dx r1/2 cos(Tx) · ešin (r2)dx •ln(3) et Jin(2) ez +7dr et +7

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Q: II. Perform the integration. sinh? (e¬) dx eª cosh(e-¤) 2 4.

A: We have to find value of given integral.

Q: Find the general indefinite integral. (Use C for the constant of integration.) |(u + 5)(8u + 5) du

A: First we expand the expression ∫(u+5)(8u+5)du=∫8u2+5u+40u+25du=∫8u2+45u+25du

Q: I. Evaluate the following integrals. •ln 2 #3. e2" sec-(e")dx

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Q: Find the indefinite integral. (Use C for the constant of integration) S cos h² (x – 7) sin h(æ – 7)…

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Q: a) Evaluate the following Integration by parts for definite integrals. i) So xe-s*dx ii) 12 Sin-'dx

A: The given integration is  I) ∫01xe-5xdx II) ∫032sin-1xdx

Q: Evaluate the integral. (Use C for the constant of integration.) e60 sin(70) de

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Q: Solve if the improper integral below diverges or converges. If it converges, solve for the value. La…

A: This question can be solved using the concept of convergence and definite integrals.

Q: Given ſ 97**sin x (1+ 2 cos x) dx. There is an appropriate value of u so that the resulting integral…

A: given ∫912x+sinx1+2cosxdx this can be written as ∫3212x+sinx1+2cosxdx⇒∫3x+2sinx1+2cosxdx put…

Q: Consider solving dx using a suitable trigonometric substitution. After performing substitution with…

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Q: Find the indefinite integral using the substitution x = 2 sin(?). (Use C for the constant of…

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Q: Q2. Use integration by parts to evaluate the following Integral 2 COs x² dx

A: GIVEN : ∫ x3 cos x2 dx

Q: Q1: Using by part integration: e Evaluate: sin ( In x)dx? 1 Add File

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Q: Use integration by parts to evaluate the integral: ∫sin(−12r)/e^2r

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Q: Solve the following indefinite integrals. (a) cos x -dx sin? x (b) sin- cos cos,dx (c) sin) dx cos

A: (a) To find: The indefinite integral of . Calculation: Substitute in . Substitute in above…

Q: 2e* -dx 8+ et •3 dx o x-2 TeCos(T2) 1 - dx 14 csc(Tx)

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Q: sin I 3 1+2

A: We can use the concept of odd or even function in order to solve the given problem.

Q: II. Perform the integration sinh? (e¬) 4. e# cosh(e-¤) dx

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Q: Find the following integrals: sin x (i) [sin' x cos? x dx dx sin (x+ a) (ii)

A: In this question, we need to find the following integrals.

Q: Evaluate the integral. (Use C for the constant of integration.) e^−θ cos(3θ) dθ

A: ∫e-θcos3θdθ We need to Evaluate the integral Using C for the constant of integration.

Q: 17. S* sin? 4 y cos² 2 y dy

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Q: Find or evaluate the integral. (Use C for the constant of integration.) sin(e) de 17 - 10 cos(e)

A: We  have to evaluate integral ∫sinθ17-10cosθdθ Substitute t=17-10cosθ…

Q: Evaluate the integral. (Use C for the constant of integration.) 5 cos?x sin 2x dx

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Q: (b) Solve the following integral using the integration by parts method. x2 sin тx dx (ii) e* cos 3x…

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Q: Evaluate the integral. (Use C for the constant of integration.) e-0 cos 80 d0

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Q: dx 8. Find the definite integral Ans:

A: Given integral  I=∫56x2-25x2dx

Q: Find the general indefinite integral. (Use C for the constant of integration.) (u + 9)(5u + 6) du

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Q: In the given integral f e7*+2 dx, what table of integrals to be use in finding the integration by…

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Q: Find the indefinite integral. (Use c for the constant of integration. |(ei + 3tj + 16t°k) dt

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Q: Find the indefinite integral. (Use C for the constant of integration.) | VECES + √t(t + t - 4) dt TE

A: Given the query is to finding the integral.

Q: 70 (sinr cos r) dx T/2 sin a) dx

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Q: Find the indefinite integral using the substitution x = 4 sin(0). (Use C for the constant of…

A: To find the indefinite integral ∫116-x232dx