Class 12 ISC 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 ISC Integration boardQuestions




Integration BoardsQuestions
2016
Q1 Evaluate: tan3x dx

solutions
Q2 Using properties of definite integrals, evaluate:
π/20
sinx - cos x / 1+sinx cosx
dx


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Q3 Evaluate:
π/20
sinx + cos x / √9 +16 sin2x
dx


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2017
Q1 Evaluate:
π/20
1 / x2
sin2(
1 / x
) dx

(ii) Evaluate:
π/40 log(l + tanθ) dθ


solutions
Q2 Evaluate:
π/20
sin2x / (1+sinx) (2+sinx)
dx


solutions
2018
Q1 Evaluate: tan-1 √x dx

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Q2 Evaluate :
x3 + 5x2 + 4x +1 / x2
dx


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Q3 (a) Evaluate:
x-1 / √ x2-x
dx

OR
(b) Evaluate:
cos2x / 1+sinx cosx
dx


solutions
2019
Q1 Evaluate:
x(1+x2) / 1+x4
dx

OR

Evaluate:
3-6 |x+3|dx


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Q2 Evaluate:
π0
x tanx / secx + tanx
dx


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Q3 Evaluate:
sec2x / cosec2x
dx


solutions

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