In(t) dt t6

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) |…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) 5…

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Q: Evaluate the integral. (Use C for the constant of integration.) A) x cos(2x) dx B)e6θ sin(7θ) dθ

A: here we evaluate the integral      (A)   ∫ x cos (2x)dx     (B)  ∫ e6θ sin (70) dθ

Q: J, 3x +1 dx 3. Find the exact value of the given definite integral *, 6 dx 4. Evaluate the given…

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Q: Evaluate the integral. (Use C for the constant of integration.) 6.3 t0.5 0.5 6e*) dx 6.

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) -6x…

A: To evaluate the integral by making the given substitution. ∫e-6x dx, u = -6x

Q: Use the specified substitution to find or evaluate the integral. (Use C for the constant of…

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Q: Use the specified substitution to find or evaluate the Integral. (Use C for the constant of…

A: The given integral is ∫x-5x+8dx. The main objective is to evaluate the integral by the substitution…

Q: sinx dxdy By reversing the order of integration, the value ofl is equal to: O None of these O et1

A: We will change the order of the integration. We will set the limits of x free and set the limits of…

Q: Find the indefinite integral. (Use C for the constant of integration.) dt t4 + 1

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Q: Evaluate the integral. (Use C for the constant of integration.) s¯¹(x) dx COS

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Q: Evaluate the integral. (Use C for the constant of integration.) | e20 sin(30) de

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Q: Evaluate the integral. (Use C for the constant of integration.) xp x + C 9

A: Here we will use the formula of integration.   We know,  integration of Xn dx = Xn+1 /  (n+1 ) + C…

Q: Find the integral. (Use C for the constant of integration.) t (294 - t2)3/2 dt

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Q: -1 0 -t³+1 2 3+² e dt

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dx,…

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Q: Q2) Evaluate the integral x dx a -0.

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Q: Derive the formula by using integration by parts on the left-hand side. (Assume n > 0.)

A: Given:

Q: Use the substitution technique to determine the following integrals:

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Q: Q3: Reduce the integral Sx³J2(x) dx to integration in terms of Jo(x)

A: To find - Reduce the integral ∫x3J2x dx to integration in terms of J0x.       Formula used - Bessel…

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

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Q: Find formulas for the functions represented by the integrals.

A: Find formula for the function represented by the given integral: ∫1x2 t dt

Q: Evaluate the integral. (Use C for the constant of integration.) dt t4 + 10

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration. 9 +…

A: Solve the following

Q: e2x Evaluate the integral: dx 1 + eX

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Q: Evaluate the integral. (Use C for the constant of integration.) fa.5* + 9*) dk (1.5× + 9*) dx

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Q: Evaluate the integral or show that it diverges e dx 1+e-x

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Q: (1+ 1)? dt =D t3

A: Given : ∫1+t2t3dt

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

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Q: Evaluate the integral. S(e* +8e -*) dx | (e 4x +8 e -x) dx =[(Use C as the arbitrary constant.)

A: Consider the given integral.

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) |…

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Q: What will be the value of dx be, if v9- 4/5 is expressed in the form 5 - a, where both where a and b…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x²V…

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Q: Find the indefinite integral. (Use c for the constant of integration.) (t²i + 7tj + 12t³k) dt

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Q: Find the general indefinite integral. (Use C for the constant of integration. 8 6u4 – u2 + du 5. u5

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Q: Q /Find the next integral: (2m(E x)dx - h a

A: Given integral is 2h∫0EV2mE-vaxdx. We can write it as 22mh∫0EVE-vaxdx. Let  u=E-vax…

Q: Q2/ Evaluate the integral: 1.57 9-х2 dy dx X. by changing the order of integration.

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Q: (a) Use integration by parts to evaluate T/4 | 0 sin(20) dð . (b) Use the substitution u = 1+ x to…

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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: Evaluate the indefinite integral. (Use C for the constant of integration.) dt cos?(t) V5 + tan(t)…

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Q: Sõlve the integral - In 3 x'e-*dx 2.

A: The given integral ∫0ln3x2e-xdx can be evaluated as, ∫x2e-xdx=x2×∫e-xdx-∫ddxx2×∫e-xdxdx+C…

Q: 8x dx Evaluate the given integral: J 1x2-5

A: Recall: ∫1ax+bdx=1alnax+b +C; where 'C' is an integration constant.

Q: Evaluate the integral. (Use C for the constant of integration.) | 9t sin?(t) dt

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Q: a) Solve the integration by parts [cos(x)e*dx.

A: We need to solve the given integral  This can be evaluated as follows:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt cos²(t) /4 + tan(t) 6

A: To evaluate the given integral.∫dtcos2t 4+tant6

Q: Perform the substitution u = 21 + 1 to evaluate the indefinite integral 14e+ dt. Use Cfor the…

A: To evaluate:∫ 14e2t+1dt

Q: Evaluate the integral. (Use C for the constant of integration.) / G 6.9 + +0.5 +0.5 5ex dx 6 -

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Q: Evaluate the integral. (Use C for the constant of integration.) x³ + 9x² + 2x + 9 dx T Tx? + 1)(x² +…

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