Fundamental theorem of calculus

[staples82]

Homework Statement

Evaluate each definite integral.

ok I'm not sure how to do the integration sign, but... b=4, a=1 for (5yy^.5)+3y^.5)dy

Homework Equations

The Attempt at a Solution

I'm not really sure what I'm doing wrong.

i integrated...$$5y^2/2*y^(3/2)/(3/2)+3y^(3/2)/(3/2) <br /> <br /> then i plugged in stuff so...F(b)-F(a)...f(4)-(f1)<br /> <br /> I got (40*8/3+16)-(5/2*2/3+2) which gave me 357/3...the correct answer is 76 and I have no idea what I'm doing wrong, I've redone this problem 5 times and doublechecked to no avail :-($$

 

[rock.freak667]

$$\int_1 ^{4}(5yy^\frac{1}{2} + 3y^\frac{1}{2})dy \equiv \int_1 ^{4}(5y^\frac{3}{2} + 3y^\frac{1}{2})dy$$



Remember that y^m * y^n=y^(m+n)

 

[Dick]

$$\int_1 ^{4}(5yy^\frac{1}{2} + 3y^\frac{1}{2})dy \equiv \int_1 ^{4}(5y^\frac{3}{2} + 3y^\frac{1}{2})dy$$



Remember that y^m * y^n=y^(m+n)

And remember that you need to use that rule, because you can't integrate a product by taking the product of the integrals.