Monday

April 21, 2014

April 21, 2014

Posted by **Z32** on Tuesday, June 23, 2009 at 10:36pm.

The S thingy has 1 at the bottom and 9 at the top. 4x^2+5 divided by the sqrt of x.

- Calculus -
**MathMate**, Wednesday, June 24, 2009 at 1:10amThe S thingy is called the integral sign.

The number at the bottom (1) is the lower limit of a definite integral, and the top number (9) is the upper limit of integration.

The expression to be evaluated probably looks similar to this:

I = ∫_{1}^{9}(4*x^2+5)/sqrt(x) dx

If you use the substitution

u=sqrt(x), then

du=(1/2)*dx/sqrt(x)

Substituting the limits and the variables involving x, we get

I= ∫_{1}^{9}(4*x^2+5)/sqrt(x) dx

= ∫_{sqrt(x)}^{sqrt(9)}(4u^4+5)*2 du

= ∫_{sqrt(x)}^{sqrt(9)}(4u^4+5)*2 du

Continuing the integration and evaluate the integral according to the integration limits, we should obtain 2036/5 as the numerical answer.

Post if you need more details.

- Calculus -
**Z32**, Wednesday, June 24, 2009 at 2:53amThanks for the help!

- Calculus -
**MathMate**, Wednesday, June 24, 2009 at 8:38amIn case it confused you, the substituted lower limit should have read sqrt(1).

**Related Questions**

Math - Use FTC to evaluate a definite integral with basic integrand-- (integral...

double integral - 1. Sketch the region of integration & reverse the order of ...

calculus - Evaluate the definite integral: upper number of the integral is 6 ...

CAL-- - what is FTC? use ftc to evaluate a definite integral with basic ...

Calculus II - Evaluate using u-substitution: Integral of: 4x(tan(x^2))dx ...

Calculus Fundamental Theorem - Evaluate the definite integral. function: (t+8)(t...

ap calculus - Which of the following definite integrals gives the length of y = ...

Help W/ Definite Integrals - Evaluate the definite integral of (4x^3-x^2+2) from...

calculus - Evaluate the definite integral: [4,8] (4x^2+10)/(x^(1/2)) dx Been ...

Calculus - Evaluate the surface integral. the double integral of (x^2 + y^2 + z^...