Chapter 7 Integrals EXERCISE 7.2

NCERT Solutions for Class 12 CBSE Maths – Chapter 7 Complete Questions solution of Maths chapter 7
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 EXERCISE 7.2

MathsQ 1.
2x1+x2
Sol:




Question 2.
(logx)2x
Sol:



Question 3.
1x+xlogx
Sol:



Question 4.
sinx sin(cosx)
Sol:



Question 5.
sin(ax+b) cos(ax+b)
Sol:


Question 6.
ax+b−−−−−√
Sol:


Question 7.
xx+2−−−−√
Sol:



Question 8.
x1+2x2−−−−−−√
Sol:


Question 9.
(4x+2)x2+x+1−−−−−−−−√
Sol:



Question 10.
1x−x√
Sol:



Question 11.
xx+4√,x>0
Sol:



Question 12.
(x3−1)13.x5
Sol:


Question 13.
x2(2+3x3)3
Sol:



Question 14.
1x(logx)m,x>0
Sol:



Question 15.
x9−4x2
Sol:



Question 16.
e2x+3
Sol:



Question 17.
xex2
Sol:



Question 18.
etan−1x1+x2
Sol:




Question 19.
e2x−1e2x+1
Sol:




Question 20.
e2x−e2xe2x+e−2x
Sol:



Q 21.
tan²(2x-3)
Sol:
∫tan²(2x-3)dx = ∫[sec²(2x-3)-1]dx = I
put 2x-3 = t
so that 2dx = dt
I = 12 ∫sec²t dt-x+c
= 12t−x+c
= 12tan(2x−3)−x+c

Question 22.
sec²(7-4x)
Sol:




Question 23.
sin−1x1−x2√
Sol:



Question 24.
2cosx−3sinx6cosx+4sinx
Sol:



Question 25.
1cos2x(1−tanx)2
Sol:




Question 26.
cosx√x√
Sol:




Q 27.
sin2x−−−−−√cos2x
Sol:





Question 28.
cosx1+sinx√
Sol:




Question 29.
cotx log sinx
Sol:



Question 30.
sinx1+cosx
Sol:



Question 31.
sinx(1+cosx)2
Sol:



Question 32.
11+cotx
Sol:


Question 33.
11−tanx
Sol:


Question 34.
tanx√sinxcosx
Sol:



Question 35.
(1+logx)2x
Sol:



Question 36.
(x+1)(x+logx)2x
Sol:



Question 37.
x3sin(tan−1x4)1+x8dx
Sol:



Question 38.
∫10x9+10xloge10x10+10xdx
(a) 10x – x10 + C
(b) 10x + x10 + C
(c) (10x – x10) + C
(d) log (10x + x10) + C
Sol:




Question 39.
∫dxsin2xcos2x=
(a) tanx + cotx + c
(b) tanx – cotx + c
(c) tanx cotx + c
(d) tanx – cot2x + c
Sol:

NCERT Solutions for Class 12 Maths Chapter 7  Integrals EXERCISE 7.2 

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