Use the substitution x = 4 tan(0) to evaluate the indefinite integral 17dx x2 Vx2 + 16 + C

Q: Evaluate the integral.  integral  2x sin  2 x x dx

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Q: Use the indicated substitution to evaluate the integral.

A: Given: ∫121dxx2x2+4

Q: Find the indefinite integral using the substitution x = 4 sin θ

A: Given :              The indefinite integral                                 ∫x316-x2dx

Q: Evaluate the integral. ∫ (x -1) Sinπ x dx

A: Let us assume u and dv

Q: 1 S²₁x² ex³ dx 1

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Q: Find the indefinite integral using the substitution x = 4 sin θ.

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Q: Use any method to evaluate the integrals ∫tan2 x/csc x dx

A: We have given the integral;

Q: Evaluate the integral.  integral  sec  x  tan  4 x  dx

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Q: 8 x3 dx Vx2 + 36

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Q: View Image for problem

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Q: Find the indefinite integral using the substitution x = 4 sin θ.

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Q: dx 2+2 sinx + cos x

A: Given that the integral ∫dx2+2sinx+cosx. Evaluate the given integral. Formulae used:…

Q: Use the substitution æ = 6 tan(0) to evaluate the indefinite integral 23dx x2 Va2 + 36

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Q: x sin¬1 x² dx

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Q: Use the tabular method to find the indefinite integral. ∫x3 cos 2x dx

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Q: Evaluate the Integral ∫ 2tan3(x) sec(x) dx

A: To evaluate the integral: ∫2tan3xsecxdx We know that sec2x-tan2x=1 Given interal can be re-written…

Q: use the Change of Variables Formula to evaluate the definite integral.

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Q: Use substitution to find the indefinite integral

A: Given, ∫2+lnxx dx

Q: Evaluate the integral. 3x/2 2|sin x| dx Jo

A: We have to evaluate given integral:

Q: x3 sin(x) dx

A: Solve by integration by parts

Q: Use thě substitution a = 7 tan(0) to evaluate the indefinite integral 40dx x²Væ² + 49 +C

A: Substitute x=7tanθ After differentiating, dx=7sec2θdθ

Q: Evaluate the indefinite integral: ∫ x2 sin(x3 + 1) dx

A: ∫x2sinx3+1dx

Q: Use the substitution x 3 tan(0) to evaluate the indefinite integral 91dx x2 Vx2 + 9 + C

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Q: Use the substitution x = 5 tan(0) to evaluate the indefinite integral 40 dx x² Vx² + 25

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Q: 4. Evaluate the definite integral by using substitution. x-1 dx (x+ 2)2/3 -1

A: given the definite integral is∫-16 x-1(x+2)23dx

Q: Find the indefinite integral using the substitution x = 2 tan θ.

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Q: 2x dx J (x² + 15)2²

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Q: Evaluate the definite integral.

A: ∫15x2x-1 dx Consider, ∫x2x-1 dx Put, 2x-1=t⇒21-0=dtdx⇒2 dx=dt⇒dx=dt2 Therefore, ∫x2x-1 dx=∫t+12tdt2…

Q: ( 5tanx sec'x dx .2,

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

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Q: Use substitution to find the indefinite integral.

A: Given integral: ∫x2-6xx-3 dx Substitute u=x2-6x and differentiate it w.r.t 'x'…

Q: – dx x Inx x²+1

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Q: Evaluate the integral.  integral  sec3  x  tan  4 x  dx

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Q: 2x (x+2)-5 dx z

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Q: Use U-Substitution to evaluate the indefinite integral. S(5x + 2)?dx S 2x sin(x²) dx

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Q: Evaluate the integral using an appropriate method. T/3 x sin(3x) dx

A: ∫0π3x sin(x)dx

Q: Find the indefinite integral. ∫sec x/2 dx

A: Given ∫sec x/2 dx. We need to evaluate the above integral.

Q: S tanʼx dx

A: Answer is given in next step.

Q: find the indefinite integral 2x dx J (x² + 15)22.

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Q: Evaluate the indefinite integral.

A: It is required to evaluate the indefinite integral:

Q: Use the substitution x = 6 tan(0) to evaluate the indefinite integral 91 dx X²VX2 + 36 swer = +C

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: b. x° sin x dx .3

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Q: Find the indefinite integral using the substitution x = √x√4 + x² dx + C 2 tan(0)

A: SOLUTION-

Q: Find the indefinite integral ∫ 3/2√x(1 + x)    dx

A: Evaluate: ∫32x1+xdx

Q: Find the indefinite integral. 1 Js (12x) dx 3+ 2x

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Q: calculate the integral.

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Q: Use a change of variables to evaluate the following definite integral. 1 2x dx (x² +3)?

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Q: Sx (x² + 4)5 Se3*dx

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Q: Use U-Substitution to evaluate the definite integrals. Sž cos 2x dx (1+x2)2

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