# Math

posted by .

Find the definite integral of the following using a suitable substitution:

1) (x^2)/sqroot(x^3-1)dx

2)xe^(x^2)dx

3)(ln(x))^(7/2)/(x)dx

## Similar Questions

1. ### calculus

Assuming that: Definite Integral of e^(-x^2) dx over [0,infinity] = sqrt(pi)/2 Solve for Definite Integral of e^(-ax^2) dx over [-infinity,infinity] I don't know how to approach the new "a" term. I can't use u-substitution, integration …
2. ### Math

Find the definite integral of the following using a suitable substitution: 1) (x^2)/sqroot(x^3-1)dx 2)xe^(x^2)dx 3)(ln(x))^(7/2)/(x)dx
3. ### Calculus

Can someone explain to me how to do these?
4. ### math

Evaluate the following indefinite integral by using the given substitution to reduce the integral to standard form integral 2(2x+6)^5 dx, u=2x+6
5. ### math

Evaluate the following indefinite integral by using the given substitution to reduce the integral to standard form integral cos(9x) dx, u=9x
6. ### math

Note: You can get full credit for this problem by just answering the last question correctly. The initial questions are meant as hints towards the final answer and also allow you the opportunity to get partial credit. Consider the …
7. ### Calculus

This is a definite integral question. Evaluate the following integral: (0)S(a)((x)((a^2 - x^2)^(1/2)))dx with a being a constant and the (0) being at the bottom of the integral notation and (a) at the top. S is the integral notation. …
8. ### Calculus (urgent help)

consider the function f that is continuous on the interval [-5,5] and for which the definite integral 0(bottom of integral sign) to 5(top of integral sign) of f(x)dx=4. Use the properties of the definite integral to evaluate each integral: …
9. ### calculus (please with steps and explanations)

consider the function f that is continuous on the interval [-5,5] and for which the definite integral 0(bottom of integral sign) to 5(top of integral sign) of f(x)dx=4. Use the properties of the definite integral to evaluate each integral: …
10. ### Mathematics-Integration

Using a suitable substitution show that integrate {[ln|1+x|]/[1+(x)^2]} from 0-1 = (π/8)ln|2| On this one, I don't really have any ideas of going forward solving this.I don't see a substitution which will simply the integral.

More Similar Questions