19) Sdx 20) S(5 cos x + 4 sin x)dx COS X

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(2x) dx 15 + cos?(x)

A:

Q: x dx = b2 - . T/2 cos(x) dx = 1, together with the properties of definite integrals, to evaluate…

A: To calculate the integral using the given formulae

Q: 1. Use substitution to find the indefinite integral. 2. Check results by differentiation Problem.)…

A:

Q: find the indefinite integral and check theresult by differentiation tan^2 y + 1) dy

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(2x) dx 27 + cos (x)

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) -cos X dx sin5 x

A:

Q: Find the indefinite integral using the substitution x = 3 sin(0). (Use C for the constant of…

A:

Q: Find the indefinite integral using the substitution x = 3 sin(0). (Use C for the constant of…

A:

Q: 2 sinh x 2. Calculate the integral, dx. 5+6 cosh x

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) sin x dx cos x

A: The given integral is ∫sinxcos5xdx. We know that, ∫xndx=xn+1n+1+c           c=Integration constant.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | Vx19 sin(4 + x21/2) dx…

A: Since the exact one wasn't specified we'll answer the first question only. Please resubmit a new…

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

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(2x) cos?(x) 45 + coS

A: we know the trigonometric identitycos2x=2cos2x-1cos2x=1+cos2x2I=∫sin2x45+cos2xdxreplace value in the…

Q: 5. Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 9 cos X dx 3 + sin x

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) ∫(sin…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) sin x 6 + cos2 x xp

A: indefinite integration

Q: cos xdx sin x

A:

Q: 7. f(x-x)dx 8. dx 9. (2" -x' -2x + 3)de

A: We will solve the following.

Q: Find the indefinite integral. (Use C for the constant of integration.) sin 4x sin 3x dx

A: We know sin A·sin B=12cos(A-B)-cos(A+B) ∫cos ax dx=sin axa+C  where C is constant of integration.

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A: The integration of the sum of functions is equal to the sum of the integration of the functions.…

Q: Find the indefinite integral. (Use C for the constant of integration.) tan' x dx sec10 x

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) (4 cos x + 7 sin x) dx

A: Given the integrationI=∫(4cosx+7sinx)dx

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

A: ∫x2sinx3+1dx

Q: 12) S (z* + 2x + 1) dx 3 х2 + 2х +

A: Integration

Q: Find the indefinite integral. (Use C for the constant of integration.) sin 3x sin 2x dx

A:

Q: 7. Find the integral of the hyperbolic function below. 6 sin(x) cosh[cos(x)] dx

A: Evaluate: ∫6 sinx coshcosx dx

Q: Find the indefinite integral. (Use C for the constant of integration.) sin 5x sin 4x dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) COS X dx (sin x)20

A: Given, ∫cosxsinx20dx We have to evaluate the indefinite integral.

Q: 4) S 2 sin x dx

A: We can find the integration and check it as below

Q: Find the indefinite integral. (Use C for the constant of integration. sin 4x sin 3x dx sin x sin 7x…

A: Solution is given in step 2

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

A: To evluate: I=∫sin(2x) sin(cos(2x)) dx...(1)

Q: Find the indefinite integral. (Use C for the constant of integration.)

A: The given integral is,

Q: Find the general indefinite integral. (Use C for the constant of integration (4 sin(x) + 7 sinh(x))…

A: To evaluate∫ 4sinx+7sinhxdx

Q: Find the indefinite integral. (Use C for the constant of integration.) (4 cos x + 5 sin x) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) (8 cos x + 7 sin x) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration. tan(x) cos(x) dx

A: Given,            ∫7tan xlncos x dx

Q: Evaluate the indefinite integral cosx sinx dx 1. sin*x + C 4 는Costx + c sin'x + C cos x + C m

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 9 cos5(x) sin*(x) dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(x)/sin^20(x)    dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin (x) cos(x) dx

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) sin 2x 9. dx sin x

A: Explanation of the answer is as follows

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(x) sin 1 (x) xp

A: ∫cosxsin16x dx

Q: 2.8 2 – 0.7 sin(x²) dx 0.3

A: Use Trapezoidal and Simpson's (1/3)rd rule to find integrals.

Q: Find the indefinite integral. (Use C for the constant of integration.) (5 cos x + 7 sin x) dx

A: ∫5cosx+7sinx dx∫5cosx dx+∫7sinx dx

Q: Evaluate the indefinite integral. (Use C for the constant of integration sin(2x) dx 31 + cos?(x)

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) sin x dx 3 + cos x

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) sin x xp 5 + cos? x

A: This question is related to indefinite integration, We will solve it using substitution method.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(6x) sin(cos(6x)) dx

A: In this question we have to evaluate the integral.

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: