Posted by Chelsea on Tuesday, April 5, 2011 at 5:07pm.
Find the antiderivative by hand in each case.
S stands for the integral sign
A) S x*sqrt(10 + x^2) dx
So, u= 10 + x^2
(1/2) S sqrt(u) du
= (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
x= -((u - 2)/3)
=(-1/3) S (-((u - 2)/3))*(u^(-1/2))
=(-1/3) S ((-((u^(1/2)/3)-((2u^(-1/2))/3))
=[(-2/27)*((2 - 3x)^(3/2)) + (4/3)*((2 - 3x)^(1/2))] correct/incorrect?
Answer this Question
More Related Questions
- Calc. Checking Answer - Find the antiderivative by hand in each case. S stands ...
- Calc. - Evaluate the indefinite integral. Please check my work? Not sure if I am...
- Calc. - Evaluate the definite integral. S b= sqrt(Pi) a= 0 xcos(x^2)dx I'm not ...
- Calculus - Find the volume of the solid whose base is the region in the xy-plane...
- ap calculus - Which of the following definite integrals gives the length of y = ...
- Calculus - S=Integral xdx/sqrt(x-1). I have proceeded thus- Put sqrt(x-1)=u then...
- Calculus - Evaluate the indefinite integral: 8x-x^2. I got this but I the ...
- Calculus - Graph the curve and find its exact length. x = e^t + e^-t, y = 5 - 2t...
- Algebra - Solve for s: h=(square root of 3)times s/2 and solve for h V= (pi)r ...
- Calculus - so we are doing integrals and I have this question on my assignment ...