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If f(x) = int0^x tsint dt, then find f^...

If f(x) = `int_0^x tsint dt`, then find
`f^'(x)`

A

cosx+xsinx

B

x sinx

C

x cosx

D

sinx + x cosx

Text Solution

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The correct Answer is:
B
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A N EXCEL PUBLICATION-INTEGRALS-QUESTION BANK
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  2. Choose the correct answer. int(1/3)^1 (x-x^3)^(1/3)/x^4 dx =

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  3. If f(x) = int0^x tsint dt, then find f^'(x)

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  4. int0^(pi/2)frac(sinx)(sinx+cosx)dx

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  5. Find the value of int0^(pi/2)sin^4x/(sin^4x+cos^4x)dx

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  6. Evaluate int-1^1 log((3-x)/(3+x))dx

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  7. Evaluate int-1^2 abs[x^3-x]dx

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  8. Evaluate int(-pi/4)^(pi/4) sin^2 x dx

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  9. Evaluate int0^pi (xsinx)/(1+cos^2x)dx

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  10. Using properties evaluate the following definite integrals int0^(pi/2)...

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  11. Find the following integrals. int0^(pi/2)frac(sqrtsinx)(sqrtsinx+sqr...

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  12. Using properties evaluate the following definite integrals int0^(pi/2)...

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  13. Using properties evaluate the following definite integrals int0^(pi/2)...

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  14. Evaluate the following int-5^5 abs[x+2]dx

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  15. Using properties evaluate the following definite integrals, evaluate ...

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  16. Using properties evaluate the following definite integrals, evaluate t...

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  17. Evaluate. int0^(pi/4) log(1+tanx)dx

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  18. Find the following integrals. int0^2xsqrt(2-x)dx

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  19. Using properties evaluate the following definite integrals, evaluate ...

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  20. Using properties evaluate the following definite integrals, evaluate ...

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