Question

Find the resulting integral if one makes the change of variable x = sin(t) in the integral ? x^4(1 - x^2)^(5/2) dx (a) ? sin^5(t) cos^6 dt (b) ? sin^5(t) cos^5 dt (c) ? sin^4(t) cos^5 dt (d) ? sin^4(t) cos^7 dt (e) ? sin^4(t) cos^6(t) dt

          Find the resulting integral if one makes the change of variable x = sin(t) in the integral ? x^4(1 - x^2)^(5/2) dx
(a) ? sin^5(t) cos^6 dt
(b) ? sin^5(t) cos^5 dt
(c) ? sin^4(t) cos^5 dt
(d) ? sin^4(t) cos^7 dt
(e) ? sin^4(t) cos^6(t) dt

Find the resulting integral if one makes the change of variable x = sin(t) in the integral ? x^4(1 - x^2)^(5/2) dx
(a) ? sin^5(t) cos^6 dt
(b) ? sin^5(t) cos^5 dt
(c) ? sin^4(t) cos^5 dt
(d) ? sin^4(t) cos^7 dt
(e) ? sin^4(t) cos^6(t) dt

Added by Christine E.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Zhumagali Shomanov

05/10/2022

Step 1

Step 1: Rewrite the given integral using the change of variable x = sin(t): ∫(w'(1 - w^2) dw) = ∫(sin^5(t) cos^6(t) dt) Show more…

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Find the resulting integral if one makes the change of variable x = sin(t) in the integral ∫ x^4(1 - x^2)^(5/2) dx (a) ∫ sin^5(t) cos^6 dt (b) ∫ sin^5(t) cos^5 dt (c) ∫ sin^4(t) cos^5 dt (d) ∫ sin^4(t) cos^7 dt (e) ∫ sin^4(t) cos^6(t) dt