Using the substitution 6 sin(u) = x, we obtain [²√36 - w²dx = [ K sin" u cos” udu where the constants K = m and n = Using this result and your knowledge about indefinite integrals of powers of sin u and cos u. find the indefinite in [x² √36- /36 = x²dx=+C Note: Your answer should be in terms of x, not u.

Q: Find the reduction formula for integral of sin exponent n x dx b. Use the formula obtained to…

A: Solve the given integral.

Q: Evaluate the definite integral. Use a graphing utility to verify your result. 9 – 9 sin? 0 do • T/4…

A: Here,  I=∫0π49-9sin2θ7cos2θdθ

Q: Given |(-6x° – 4x + 5x – 3)dx, evaluate the indefinite integral. Do not include +C in your answer.

A:

Q: Use the Change of Variables Formula to evaluate the definite integral. cos* (x) sin(x) dx (Use…

A:

Q: Multiple Choice (Choose the best answer): For the integral f sin³ x cos³x dx, a. The substitution u…

A:

Q: Use the method of substitution to find the following indefinite integral. sin (9z-5)dz J sin…

A: We substitute 9z-5=t and then use the result  that integration of sinx is -cosx

Q: 2. Evaluate the Definite Integral using Trigonometric Substitution. Make sure to state solution with…

A: The given definite integral is ∫02xx2+4dx To evaluate this integral, put x=2tanθ  ....1 Now,…

Q: Steve uses the trignnometric substitution tan ()to evaluate / e) de After simplification, the…

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Q: Calculate the result of the operation B?f(x) ? If f(x) = 5sin(7x), B=-iº,where i = v-1. 1. A. -35i…

A: If fx=5 sin7x, B=-iddx, where i=-1Then to calculate the result of the operation B2fx.