What is the most appropriate method for evaluating the integral integral x In(x)

Question

What is the most appropriate method for evaluating the integral integral x In(x) dx? the trigonometric substitution x = sin(theta) the trigonometric substitution x = tan(theta) integration by parts with u = In(x) and dv = x dx the substitution u = In(x) the substitution u = -In(x) What is the most appropriate method for evaluating the integral integral Squareroot 1 - x^2 dx? integration by parts with u = x and dv = 1 - x^2 integration by parts with u = x and dv = 1 + x^2 the trigonometric substitution x = sin(theta) the trigonometric substitution x = tan(theta) the substitution u = 1 - x^2 partial fractions What is the most appropriate method for evaluating the integral integral sin^3(x) cos^2(x) dx? integration by parts with u = sin(x) and dv = cos^2(x) dx integration by parts with u = cos^2(x) and dv = sin(x) dx the substitution u = sin(x) the substitution u = cos(x) the trigonometric substitution x = tan(theta) the trigonometric substitution x = sin(thet

Explanation / Answer

13. For f(x)=x ln x, the best way to find its integral is integrate by parts

14. For f(x)=sqrt(1-x^2), the best way is to substitute x=sinx. SO we have to use substitution method here.

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.