Evaluate the following integral: sec? (2) tanº(z) dz = 6 Sec2 OE + C Be sure to enter powers of trigonometric functions by typing, for example, sin (x) ^ 3 for sin³ (x) (i.e., do not type sin ^ 3 (x)). Note that an arbitrary constant has been added for you.

Q: Find the indefinite integral. (Use C for the constant of integration.) 5 tan(7x) sec2(7x) dx

A:

Q: sin° (3x) cos“ (3x)dx 4

A: The given integral is ∫sin53xcos43xdx.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos' (0) sin(0) dO

A:

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.)…

A: Given,            ∫sin2θ8-3sinθdθ

Q: Find the indefinite integral. (Use C for the constant of integration.) 2 tan 20 dx sec 20

A:

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

A:

Q: Evaluate the integral / 8 cos (x) sin(2x) dx Note: Use an upper-case "C" for the constant of…

A:

Q: Find the indefinite integral and check the result by differentiation.

A: We have to calculate; I=∫5cosx + 4sinxdx

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

A:

Q: Find the integral involving secant and tangent. (Use C for the constant of integration.) Itan tan²…

A:

Q: evaluate the definite integral from [0,pi] [(sinx)2(cosx)4]

A: To integrate the definite integral

Q: Use the Special Integration Formulas (Theorem 8.2) to find the indefinite integral. (Remember to use…

A: Solve the integral using substitution method

Q: What are the formulas for integrals yielding the inverse circular functions? Explain these formulas:…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Use numerical integration to estimate the value of 0.6 sin- 0.6 dx VT ī – x For reference, sin 0.6 =…

A:

Q: Evaluate the integral 3 4 sin° (x) cos (x) dx Note: Use an upper-case "C" for the constant of…

A: Give query is to eveluate the integral.

Q: Find the indefinite integral and check the result by differentiation.                     ∫(5 cos x…

A:

Q: Find the trigonometric integral. (Use C for the constant of integration.) (cos(20))(sin(0) +…

A:

Q: sine da Seco co?o

A:

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. (Use C for the constant of integration.) sin 3x sin 2x dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) (4). 1 sin dx

A: Indefinite integral

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

A:

Q: _6 J cos° x sin¯ x

A:

Q: 4) S 2 sin x dx

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

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: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) [ 7…

A:

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: Evaluate the integral sin(-1t) dt Note: Use an upper-case "C" for the constant of integration.

A:

Q: find the general indefinite integrals integral of pi sinx cos3x dx

A: Consider the given function as πsinxcos3x. We have to find the general indefinite integral of…

Q: sin(8x) + cos(7x) dx COS Зх — 5 sin dx 2

A:

Q: Find the indefinite integral. S sin / sin x ecos xdx

A: Evaluate the integral by using the substitution method

Q: Find the indefinite integral and check the result by differentiation.                     ∫(1 +…

A: ∫1+6x46 dx Put, 1+6x=t⇒0+61=dtdx⇒6=dtdx⇒6 dx=dt Therefore, ∫1+6x46 dx=∫t4 dt=t55+C=1+6x55+C

Q: 2. The indefinite integral sin 0 cos 0 de can be evaluated in multiple ways: (a) Evaluate the…

A: The solution are next step..

Q: 6) S(x + 2)dx

A:

Q: Find the indefinite integral and check the result by differentiation. Find 5. Enter the value of the…

A: Introduction: The antiderivative of a function is the indefinite integral, which is the opposing…

Q: Use a table of integrals with forms involving the trigonometric functions to find the indefinite…

A:

Q: Evaluate the indefinite integral (3+3 sin2(x))/sin2(x) dx

A: topic - indefinite integration

Q: Evaluate the indefinite integral sin2 x cos x cos xdx =

A:

Q: .. a) Show that sinh(2x) sinh(x). = 2 sinh(x) cosh(x), using the exponential definitions for cosh(x)…

A: Hyperbolic functions are defined using exponential functions. The hyperbolic function sinhx is…

Q: Find the indefinite integral using any method ∫cos x ln(sin x) dx

A: Given, ∫cos(x)ln(sin(x))dx

Q: How do I solve a definite integral with a functions on both ends of the integral? For…

A: The given definite integral as I=∫sin-1xtan-1xsin5tdt Formulas used: costan-1x=11+x2cossin-1x=1-x2

Q: Evaluate the integral using an appropriate method. [15 15 cos²x sin³ x dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 5 sin(3x) sin(6x) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integrat sin x 6 + COS cos? x

A: Here we have to find the indefinite integral I=∫sin(x)6+cos2xdx

Q: Evaluate the integral 1 cos(x) cos (sin(x)) dx Note: Use an upper-case "C" for the constant of…

A:

Q: Which integral requires more steps to find? Explain. Do not integrate. ∫ sin8 x dx ∫ sin8 x cos x dx

A: ∫sin8x cosx dx can be directly integrated by using the substitution t=sinx. Therefore it requires…

Q: Evaluate the indefinite integral sin5 s cos sds %3D

A:

Q: That statement "We can use the General Power Formula of Integration for indefinite integrals…

A: Always false

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.

Q: 7. V1+2 sin 3x•cos 3xdx

A: Given: Let I=∫1+2 sin 3x.cos 3x dx To Find: To evaluate the given integration.