Class 12 CBSE Maths integration Board Questions

Integration is called the inverse process of differentiation. Instead of differentiating a function, we are given the function’s derivative and asked to find its primitive, i.e., the original function. Such a process is called integration or anti-differentiation. If the function’s derivative is known to us, is it possible to obtain the function. The answer to this question is yes. Integration ( or antiderivative of a function) makes it possible to obtain the original function.

class 12 CBSE Integration boardQuestions




Integration BoardsQuestions
2016
Q1 Find  
(3 sinθ -2) cos θ / 5- cos2θ - 4 sinθ


OR

Evaluate π0 e2x.sin (π/4 + x)dx


solutions
Q2 Find
√x / √a3-x3
dx


solutions
Q3 Evaluate 2 -1 |x3 -x | dx

solutions
2017
Q1 Find
sin2x - cos2 x / sin x cos x
dx


solutions
Q2 Find:
dx / 5- 8x - x2


solutions
Q3 Find:

cos θ / (4+ sin2 θ)(5-4 cos 2 θ)


solutions
Q4 Evaluate:
4 1 {|x-1| + |x-2| + |x-4|} dx


solutions
2018
Q1 Find:
sec2x / √tan2x +4
dx


solutions
Q2 Find:
√ 1-sin 2x dx,π/4 < x < π/2

OR

Find: sin-1(2x) dx


solutions
Q3 Find:
3x+5 / x2+ 3x -18
dx


solutions
Q4 Prove that a0 f(x) dx - a0 f(a-x) dx,hence evaluate π0
x sinx / 1+cos2x
dx

π0 e2x.sin (π/4 + x)dx


solutions
2019
Q1 Find:
3-5 sinx / cos2x
dx


solutions
Q2 Find:
4 / (x-2)(x2+4)
dx


solutions
Q3 Evaluate: π/20
x sinx cosx / sin4x + cos4x
dx

OR

31 (3x2+ 2x +1) dx has the limit of a sum


solutions
2020
Q1 Find:
dx / √ 9 - 4x2


solutions
Q2 Find:
x4 logx dx

OR
Find:
2x / 3√ x2+1
dx


solutions
Q3 π4-π/4 sec2 x dx is equal to

(A) -1
(B) 0
(C) 1
(D) 2


solutions
Q4 Find:
sec3 x dx


solutions

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