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Given int(1)^(5)f=3, int(2)^(6)f=4 and i...

Given `int_(1)^(5)f=3, int_(2)^(6)f=4` and `int_(5)^(6)f=5`. If F' = f and F (1) = 6, then F (2) =

A

7

B

12

C

10

D

8

Text Solution

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The correct Answer is:
C
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MARVEL PUBLICATION-INTEGRATION - DEFINITE INTEGRALS -MULTIPLE CHOICE QUESTIONS (PART - B : Mastering The BEST)
  1. If int(0)^(1)(1)/(sqrt(x+1)-sqrt(x))dx=(a(sqrt(2)))/(3), then a =

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  2. If A(x)=int(0)^(x)t^(2) dt, then : A (3) =

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  3. Given int(1)^(5)f=3, int(2)^(6)f=4 and int(5)^(6)f=5. If F' = f and F ...

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  4. If the graph of the function y = f(x) passes through the points (1, 2)...

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  5. int(0)^(1)[(d)/(dx)(sqrt(1+x^(3)))]dx=

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  6. If int(n)^(n+1)f(x)dx = n^(2), where n is an integer, then int(-2)^(4)...

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  7. int(0)^(2pi)e^(sin^(2)nx). tan nx dx =

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  8. int(-a)^(a){f(x)-f(-x)}dx=

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  9. int(-pi//2)^(pi//2) x sin x cos x dx=

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  10. int(-2)^(2)(1)/(1+e^(x^(3)))dx=

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  11. int(1)^(7)(log sqrt(x))/(log sqrt(8-x)+log sqrt(x))dx=

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  12. int(0)^(pi//2)(sin 2x)/(2+2sin^(2)x+cos^(2)x)dx=

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  13. If int(0)^(1)(x+4)/(x^(2)+5)dx = a log ((6)/(5))+b tan^(-1)((1)/(sqrt(...

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  14. int(-1)^(1)(d)/(dx)[tan^(-1)((1)/(x))]dx=

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  15. If a, b, gt 0, then int(1)^(a)(1)/(x)dx + int(1)^(b)(1)/(x)dx=

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  16. If int(0)^(1)(1)/(e^(x)+e^(-x))dx = tan^(-1)p, then : p =

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  17. int(0)^(pi//2)(sin 8x.log(cot x))/(cos 2x)dx=

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  18. int(-1)^(1)[tan^(-1){sin(cos^(-1)x)}+cot^(-1){cos(sin^(-1)x)}dx=

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  19. int(0)^(pi)(cos x)/(x^(4)+(pi-x)^(4))dx=

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  20. If I(n)=int(0)^(pi//4)tan^(n)x dx, where n ge 2, then : I(n-2)+I(n)=

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