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Class 12 Mathematics: Integrals
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MCQs on inverse process differentiation, integration methods, particular functions integrals, integration by partial functions and parts, definite integral, calculus fundamental theorem, definite integrals properties and evaluation.

Class 12 Mathematics: Integrals
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25 Questions

1. Find ∫ sin⁡x log⁡(cos⁡x) dx.
2. Find \(\int_{-1}^1 \,2xe^x \,dx\).
3. Find \(\int_{π/4}^{π/2}7 \,cos⁡x \,dx\).
4. What is the reverse integral property of definite integrals?
5. Find \(\int_{-1}^1 \,7x^6 \,(x^7+8)dx\)
6. Find \(\int_0^{π/4} \frac{5 \,sin⁡(tan^{-1}⁡x)}{1+x^2} \,dx\).
7. Find \(\int_0^π(1-sin⁡3x)dx\).
8. Find \(\int_1^2 \frac{12 \,log⁡x}{x} \,dx\).
9. Find \(\int \frac{dx}{(x+1)(x+2)}\).
10. Find \(\int \frac{dx}{x^2-8x+20}\).
11. Find \(\int \frac{dx}{\sqrt{5-x^2}}\).
12. Find the integral of \(\frac{e^{-x} (1-x)}{sin^2⁡(xe^{-x})}\).
13. Integrate 5x sin⁡3x.
14. \(\int \frac{dx}{(x^2-9)}\) equals ______
15. Find \(\int \frac{(x+3)}{2x^2+6x+7} dx\).
16. Which form of rational function \(\frac{px+q}{(x-a)^2}\) represents?
17. What is the value of \(\int_2^3\)cos⁡(x)-\(\frac {3}{x4}\)dx .
18. \(\int \frac{dx}{x(x^2+1)}\) equals ______
19. In \(\int_a^b\)f(y) dy, what is 'a' called as?
20. Find \(\int_{π/4}^{π/2} \,2sinx \,sin⁡(cos⁡x) \,dx\).
21. Find ∫ 2x3 ex2 dx.
22. Find \(\int_0^3 \,e^x \,dx\).
23. Find \(\int_1^2 log⁡x.x^2 dx\)
24. Find \(\int_0^2 \,e^{2x} \,dx\).
25. What is the reverse integral property of definite integrals?

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