Mohon bantuannya...

Mohon bantuannya…

11.)

$int limits_{0}^{frac{pi}{12}} sec^2(3x) : dx \ = frac{1}{3}tan(3x) bigg]_{0}^{frac{pi}{12}} \ = frac{1}{3} big(tan(3cdot frac{pi}{12})- tan(3cdot 0) big) \ = frac{1}{3} big( tan(frac{pi}{4}) - tan(0) big) \ = frac{1}{3} big(1-0 big) \ = frac{1}{3}$

Jawaban: E

10.)

$int_{0}^{1} 6(2-x)^5 : dx$

Misal:

u = 2-x

du = -dx

dx = -du

x = 0 → u = 2-(0) = 2

x = 1 → u = 2-(1) = 1

$int_{0}^{1} 6(2-x)^5 : dx\ = 6 cdot int_{2}^{1} u^5 : (-du)\ = -6 cdot frac{1}{6}u^6 bigg]_{2}^{1}\ = -big( (1)^6 - (2)^6 big)\ = -(1-64)\ = 63$

Jawaban: A

3.)

$lim limits_{x to frac{pi}{2}} cos^2bigg(x-frac{pi}{4} bigg)\ = Bigg(cosbigg(frac{pi}{2}-frac{pi}{4} bigg) Bigg)^2\ = Bigg(cosbigg(frac{pi}{4} bigg) Bigg)^2\ =bigg(frac{1}{2}sqrt{2} bigg)^2\ = frac{1}{2}$

Jawaban: A