Given the true value
1.
Arc
sin 14
x dx
=
¿
∫
¿
2.
x arc
sin14
x dx
=
¿
∫
¿
giventhis value withredution formula
5.
∫
sin5x dx=¿6.
∫
❑
dx
❑
cos
9x
❑=
¿
8. The region area bordered by graph y = 6x- x2 and X axis is...
9. the region area bordered by parabola y =
3
x
2 + 4x +1 ,X axis and line x=2 is...10. The region area bordered by function graph y = x2 -7x + 10 and X axis can be expressed...
11. The area of the shaded region is
12. The area region bordered by parabola y =
−
x
2 + 4 and above line y = 3x is ....13. The area lying between graph as function y = sin x and y = cos x ,where 0
≤
x≤
πis ...
14.
The area of clossed region which is bordered by graph y = x(x+2)(x-2) and X axis is...y =
√
x
+
2
Given the true value
15.Given that f(x) = ax + b , f(x) < 0 ,where x<2 and f(x)
≥
0, where x≥ 2
∫
0 4
f
(
x
)
dx
=
0
,
∧
X axis is
8
, so f
(
x
)
…
..
16. The volume of a solid of revolution formed if the region bordered
by curve y = 3x-2
And lines x= 1 and x=3 rotated around X axis is...
17. The volume of a solid of revolution formed if the region bordered
by curve
y =−
x
2 + 4 and Y axis from y= -1 to y = 0 rotated around Y axis as far as 360°
is ...18. The region bordered by curve y =
1
3
√
9−x2 and line x + 3y = 3 is rotated around axis X .The volume of the solid of revolution formed is....19. The region on a plane bordered by y =
1
√
x
X axis ,line x = 1 and x= 4 is rotated around Y axis .the volume of the solid of revolution formed is ...volume units.20. If the region which is bordered by line x = k , X axis and part of curve y =
x
2 f rom point (0,0) to point ( k,k2) rotated around X axis forms a solid ofrevolution of volume 625
π
. Then k is equal to...21. V =
π
∫
0 91
4
x
2
dx is the volume of a cone withradius … … .
22. Hitunglah volume benda putar yang terjadi oleh daerah yang dibatasi kurva y = x2 dan y = 6x-x2 jika diputar mengelilingi x = 4?
23.
∫
sec
3x dx
=
¿
Arc
sin
4
x
6
dx
=
¿
∫
¿
25.hitunglah keliling lingkaran x2 + y2 = a 2
