Integrals Ex 7.1 Class 12 - Fliplearn
[Pages:124]Integrals Ex 7.1 Class 12
Ex 7.1 Class 12 Maths Question 1. sin 2x Solution:
Ex 7.1 Class 12 Maths Question 2. cos 3x Solution:
Ex 7.1 Class 12 Maths Question 3.
e2x
Solution:
Ex 7.1 Class 12 Maths Question 4. (ax + c)? Solution:
Ex 7.1 Class 12 Maths Question 5.
sin 2x - 4e 3x
Ex 7.1 Class 12 Maths Solution:
Find the following integrals in Exercises 6 to 20 :
Ex 7.1 Class 12 Maths Question 6.
(4e3x + 1) dx
Solution:
Ex 7.1 Class 12 Maths Question 7.
x2
(1 -
1 x2
)
dx
Solution:
Ex 7.1 Class 12 Maths Question 8.
(ax 2 + bx + c)dx
Solution:
Ex 7.1 Class 12 Maths Question 9.
(2x2 + ex ) dx
Solution:
Ex 7.1 Class 12 Maths Question 10.
[-x -
1 x
2
]
dx
Solution:
Ex 7.1 Class 12 Maths Question 11.
Solxu3t+iox5nx2:2-4dx
Ex 7.1 Class 12 Maths Question 12.
x3+3x+4 dx
x
Solution:
Ex 7.1 Class 12 Maths Question 13.
x
3
-x 2 +x-1 x-1
dx
Solution:
Ex(71.1-Clxa)ss12-xMdxaths Question 14.
Solution:
Ex 7.1 Class 12 Maths Question 15.
-x (3x2 + 2x + 3) dx
Solution:
Ex 7.1 Class 12 Maths Question 16.
(2x - 3cosx + ex )dx
Solution:
Ex 7.1 Class 12 Maths Question 17.
(2x2 - 3sinx + 5-x ) dx
Solution:
Ex 7.1 Class 12 Maths Question 18.
secx(secx + tanx)dx
Solution: Ex 7.1 Class 12 Maths Question 19.
Solcuostesiceoc2nx2:x dx
Ex 7.1 Class 12 Maths Question 20.
Sol2u-ctio3ossn2inx:x dx
Ex 7.1 Class 12 Maths Question 21.
The antiderivative (-x +
1 x
)
equals
(a)
1 3
x
1 3
+
2x
1 2
+c
(b) (c)
2 3
x
2 3
\frac {
+2 }{12
x
3
2
}
+c
{ x }^{
\frac
{
3
}{
2
}
}+{
2x
}^{
\frac
{
1
}{
2
}
}+c
2 3
x
3 2
+
2x
1 2
+c
(Sdo)lu32tixon32:
+
1 2
x
1 2
+c
Ex 7.1 Class 12 Maths Question 22.
If
d dx
(a) x
(b) {
f
4
x
(x) = 4x3 -
+1
}^{x33
-
129 8
}+\frac {
3 such that f(2)=0 then f(x) is
x4
1 }{ { x }^{ 4 } } +\frac { 129 }{
8
}
x3
+
1 x4
(c) x4 +
(d) x3 +
Solution:
+
1 x13 x4
129
8
+
129 8
-
129 8
Integrals Ex 7.2 Class 12
Ex 7.2 Class 12 Maths Question 1.
2x 1+x 2
Solution:
Ex 7.2 Class 12 Maths Question 2.
(logx)2 x
Solution:
Ex 7.2 Class 12 Maths Question 3.
1 x+xlogx
Solution:
Ex 7.2 Class 12 Maths Question 4. sinx sin(cosx) Solution:
Ex 7.2 Class 12 Maths Question 5. sin(ax+b) cos(ax+b) Solution:
Ex-a7-x.2-+C--lbass 12 Maths Question 6.
Solution:
Exx7-x.2-+C--l2ass 12 Maths Question 7.
Solution:
Exx7-.12-+C-l-a2s-xs-122 Maths Question 8.
Solution:
E(4xx7.+2 C2la)ss 1-x2-2M-+-at-xh-s+Q--u1estion 9.
Solution:
Ex 7.2 Class 12 Maths Question 10.
1 x-x
Solution:
Ex 7.2 Class 12 Maths Question 11.
x ,x> 0
x+4
Solution:
Ex 7.2 Class 12 Maths Question 12.
(x3
-
1)
1 3
.
x5
Solution:
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