Question

Evaluate the following integrals. (a) \int \frac{1}{\sqrt{1 - x^2} \sin^{-1} x} dx (b) \int_{e}^{e^4} \frac{dx}{x \sqrt{\ln x}}

          Evaluate the following integrals.
(a) \int \frac{1}{\sqrt{1 - x^2} \sin^{-1} x} dx
(b) \int_{e}^{e^4} \frac{dx}{x \sqrt{\ln x}}

Evaluate the following integrals.
(a) ∫(1)/(√(1 - x^2) sin^-1 x) dx
(b) ∫e^e^4 (dx)/(x √(lnx))

Added by Marcus P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Aman Gupta

06/09/2022

Step 1

Step 1: For part (a), we can start by using the identity sin^2(x) + cos^2(x) = 1 to rewrite the integrand as √(1 - 2sin^(-1)(x)) = √(1 - 2cos^2(sin^(-1)(x))). Show more…

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Texts: Evaluate the following integrals (a) ∫ dx √(1-2sin⁻¹x) (b) ∫ dx √(1+2sinx)

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Question

Evaluate the following integrals. (a) \int \frac{1}{\sqrt{1 - x^2} \sin^{-1} x} dx (b) \int_{e}^{e^4} \frac{dx}{x \sqrt{\ln x}}

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