Calculus

Evaluate ∫(2x^3/√(1-x^4))dx

I can't figure out what u and du is...

please help thanks

1. 👍 0
2. 👎 0
3. 👁 175
1. u= sqrt(1-x^4)

du= 1/2sqrt(1-x^4)*(-4x^3)dx

= -2x^3/sqrt(1-x^4) dx

so the integral is
INT -1/u du

1. 👍 0
2. 👎 0
👨‍🏫
bobpursley
2. or,
u = 1-x^4
du = -4x^3 du

so
∫(2x^3/√(1-x^4))dx
= -1/2 ∫1/√u du
= (-1/2)(2√u)
= -√(1-x^4)

Extra credit: Can you find the error in bobpursley's solution?

1. 👍 0
2. 👎 0
3. no, but thanks for your answer!

1. 👍 0
2. 👎 0

Similar Questions

1. probability

This figure below describes the joint PDF of the random variables X and Y. These random variables take values in [0,2] and [0,1], respectively. At x=1, the value of the joint PDF is 1/2. (figure belongs to "the science of

2. Calculus

1. Express the given integral as the limit of a Riemann sum but do not evaluate: integral[0 to 3]((x^3 - 6x)dx) 2.Use the Fundamental Theorem to evaluate integral[0 to 3]((x^3 - 6x)dx).(Your answer must include the

3. Math I REALLY NEED HELP!!!!!!!!!

A figure is dilated by a scale factor of 4. If the origin is the center of dilation, what are the coordinated in the original figure of a vertex located at (8,8) in the enlarged figure? A/(2,2) B/(4,4)

4. Math. Need help

1.if g=5 and k=1, evaluate 9+gk a. 13 b. 14 c. 15 d. 16 2.Evaluate a-b^2/b if a = 10 and b = 2. a. 1 b. 3 c. 8 d. 32 3.Evaluate 3xy^2 - y if x = 2 and y = 5. a. 26 b. 30 c. 120 d. 145 4.Evaluate 2d + d^2/3 if d = 6. a. 4 b. 12 c.

1. math

Given figure A and Figure B such that ar(A) = 20sq.units and ar( B ) = 20 sq. A. Figure A and B are congruent B. Figure A and B are not congruent C. Figure A and B are similar D.Figure A and B may or may not be congruent

2. Math

Write two algebraic pattern rules for this toothpick pattern. Figure 1 = 3toothpicks Fiqure 2 = 5 toothpicks Figure 3 = 7 toothpicks Figure 4 = 9 toothpicks i need help please. I did 1-3n for Figure 1

3. Math 7 A

Lesson 6: Exploring Two-Step Problems Math 7 A Unit 5: Equations and Inequalities: Evaluate. 6r + 7 for r = 1.2 I cant figure it out

4. Math PLEASE HELP!!!

A figure is dilated by a scale factor of 4. If the origin is the center of dilation, what are the coordinated in the original figure of a vertex located at (8,8) in the enlarged figure? A/(2,2) B/(4,4) No one has answered

1. Math

Figure STUV and figure WXYZ, shown below, are similar figures. The scale factor of figure STUV to figure WXYZ is 3:1. If ST = 39 mm and SV = 51 mm, what is the length of side WZ? 13 mm 117 mm 17 mm 153 mm

2. pre-algebra

Figure B is the image of Figure A. Which description explains how Figure A was transformed to create figure B. A. Figure A was Reflected across a horizontal line of reflection to create Figure B. B. Figure A was rotated 180 °

3. maths help

using for figure table evaluate (1.487^3-1)/(1.487^3+1) show working pllllzzz

4. pre calc

evaluate the trigonometric function of the given quadrantal angle. tan 1440° Evaluate without using ratios in reference triangle. sec 3π/4