Latihan soal uas kalkulus II

Given the true value

1.

Arc sin 14 x dx=¿
∫¿

2.

x arc sin14 x dx=¿
∫¿

giventhis value withredution formula
5.∫ sin 5 x dx=¿

6.∫ ❑

dx❑
=¿
cos 9 x ❑

8. The region area bordered by graph y = 6x- x 2
9. the region area bordered by parabola y =
x=2 is.....

and X axis is.......

3 x2

10. The region area bordered by function graph y =
can be expressed......

+ 4x +1 ,X axis and line

x

2

-7x + 10 and X axis

11. The area of the shaded region is

y=

-2

√ x+2

2

12. The area region bordered by parabola y =
3x is ....

−x 2

+ 4 and above line y =

13. The area lying between graph as function y = sin x and y = cos x ,where
0≤ x ≤ π is ......

14. The area of clossed region which is bordered by graph y = x(x+2)(x-2)
and X axis is.....

Given the true value
15.Given that f(x) = ax + b , f(x) < 0 ,where x