Monday

November 24, 2014

November 24, 2014

Posted by **Chelsea** on Tuesday, April 5, 2011 at 5:07pm.

S stands for the integral sign

A) S x*sqrt(10 + x^2) dx

So, u= 10 + x^2

du= 2xdx

du/2= xdx

(1/2) S sqrt(u) du

(1/2)*((u^(3/2))/(3/2))

(1/2)*(2/3)*(u^(3/2))

(1/3)*(u^(3/2))

= (1/3)*(10 + x^2)^(3/2) correct/incorrect?

B) S (x/(sqrt(2 - 3x)))dx

S (x)*(2 - 3x)^(-1/2)

u= 2 - 3x

du= -3dx

du/-3=dx

x= -((u - 2)/3)

=(-1/3) S (-((u - 2)/3))*(u^(-1/2))

=(-1/3) S ((-((u^(1/2)/3)-((2u^(-1/2))/3))

=(-1/3)*[((2/9)*(u^(3/2))-((4/3)*(u^(1/2))]

=[(-2/27)*((2 - 3x)^(3/2)) + (4/3)*((2 - 3x)^(1/2))] correct/incorrect?

**Answer this Question**

**Related Questions**

Calc. Checking Answer - Find the antiderivative by hand in each case. S stands ...

Calculus - "Leave the answer as a definite integral, but indicate how it could ...

Calc. - Evaluate the indefinite integral. Please check my work? Not sure if I am...

Calculus - Find the volume of the solid whose base is the region in the xy-plane...

calculus please help - what is the integral of x/(1+x^2)^2 dx This is a question...

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

Calc. - Evaluate the definite integral. S b= sqrt(Pi) a= 0 xcos(x^2)dx I'm not ...

calculus - f(x) = 6x^2 -8x +3 how would I find the most general antiderivative ...

Calculus (Antiderivatives) - Suppose f(x) is a continuous function. Then a ...

Math - Find the integrals. (show steps) (integral sign) xe^(4x^2) I think this ...