Saturday

February 28, 2015

February 28, 2015

Posted by **Mishaka** on Saturday, February 11, 2012 at 3:27pm.

3x(x^2 + 7)^3

- Calculus (Antiderivatives) -
**Steve**, Saturday, February 11, 2012 at 6:02pmhard way: expand the product:

3x^7 + 63x^5 + 441x^3 + 1029x

integral is

3/8 x^8 + 21/2 x^6 + 441/4 x^4 + 1029/2 x^2

easy way: let u = x^2+7

du = 2x dx

Integral of 3/2 u^3 du

is

3/8 u^4 = 3/8 (x^2+7)^4

**Answer this Question**

**Related Questions**

Calculus (Antiderivatives) - What is the antiderivative of the followring ...

Calculus (Antiderivatives) - What is the antiderivative of? (x^2 - 4) / (x - 2)

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

Calculus II - Can someone help me with this problem? Find f if f''(x) = x^-2, x&...

AP Calculus - Find the antiderivatives. 1) x (x+1) dx 2) (x^3-4)/ (x^2) dx...

antiderivatives - i need the antiderivative of 2x/x^2 thanks. Two x over x ...

Antiderivatives - I can't figure this one out, the antiderivative of x^-1. I ...

Calculus antiderivatives - find an antiderivative of the function ((t-1)^2)/sqrt...

Business Calculus - The indefinite integral, or which call the "antiderivative...

Calculus - What is the antiderivative of this? What is the antiderivative of x...