Help w/ Integration:?

Question

1.)

35

∑ (n2 + n) =

n=1

2.)

5

∫ sin x dx =

0

3.) ∫(x + 1)(x - 1)10 dx =

Answer 1

1.

int(n^2 +n)dn = lim(1 to 35) [(1/3)n^3 + (1/2)n^2]

=lim(n = 35) - lim (n = 1)

Help yourself for the calculation.

2.

5 degree = (pi/180*5)radian

0 degree = 0 radian

int(sinx)dx = -cosx

put limit and find the value,

-cos(pi/180*5) + cos0

Help yourself for the calculation.

3.

int[(x + 1)(x - 1)10]dx = int(10x^2 - 10)dx

= (10/3)x^3 - 10ln(x)

Don't forget to add a constant to the answer in case of unbounded integration, i.e. integration with no limit.