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Class 12 Maths Practice Test - Fundamental Theorem of Calculus
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Class 12 Maths Practice Test - Fundamental Theorem of Calculus
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20 Questions

1. Find \(\int_0^{\frac{π}{2}} \,5 \,sin⁡x \,dx\).
2. Find \(\int_{π/4}^{π/2} \,2sinx \,sin⁡(cos⁡x) \,dx\).
3. Find \(\int_0^π(1-sin⁡3x)dx\).
4. Evaluate the integral \(\int_1^{\sqrt{3}} \frac{3}{1+x^2}\).
5. Find \(\int_{π/4}^{π/2}7 \,cos⁡x \,dx\).
6. Find \(\int_0^{π/4} \,2 \,tan⁡x \,dx\).
7. Find \(\int_0^3 \,e^x \,dx\).
8. The value of the integral \(\int_0^1(x+3) \,e^{3x} \,dx\).
9. Find \(\int_0^{\frac{π}{4}} \,9 \,cos^2⁡x \,dx\).
10. Find the value of \(\int_4^5 \,log⁡x \,dx\).
11. Find \(\int_1^2\sqrt{x}-3x \,dx\).
12. Evaluate the definite integral \(\int_0^1 sin^2⁡x \,dx\).
13. Evaluate the integral \(\int_1^5x^2 \,dx\).
14. Find \(\int_{-1}^1 \,2xe^x \,dx\).
15. Find \(\int_3^45x^3 \,dx\).
16. Find \(\int_0^2 \,e^{2x} \,dx\).
17. Find \(\int_{-2}^1 \,5x^4 \,dx\).
18. Find \(\int_1^2 log⁡x.x^2 dx\)
19. Find the value \(\int_{-1}^23x+x^2-2 \,dx\).
20. Find \(\int_0^8x \,dx\).