# 1. ∫[√-(1\√)]² dx 2.∫ dx 3. ∫ 4. ∫ 5. ∫sinx.sin(cosx)dx 6. ∫2x²-3sinx+5 7. ∫2x-3cosx+e^x[/tex]

1
by Sanskriti276
can you mention the question 1 properly? please... is there a square root sign there?
for the 4th there is no answer in indefinite integral form..

## Answers

2015-11-01T13:44:52+05:30

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1)  why there is a square root sign and then a square?  it is not clear.

2)  Is that x^2 or  x^4.

3)

4)

There is no simple answer to this... x^x = e^{x ln x}
Expand this in power series. like e^x.
So f9x) =  1 + x ln x + (x  ln x)^2 /2  +  (x ln x)^3 / 6 + ....
Try integrating each term separately.
Even those integrals are not easy to obtain..  It is simpler to evaluate  definite integrals with x ranging fro m  0 to 1.. and indefinite integral is not easy to find.

5)
put cos x = y.    so - sinx dx = dy.   then,
integral of  - Cos y  dy =  - Sin y  = - Sin (cosx)  + K

6)

2 x³/3 + 3 cos x + 5 x(³/²)  + K

7)
2 x² / 2   - 3 sin x + e^x + K

is that e^(2x+3) or x^(2x+3) ?
Thnx... Sir i got confused in the fourth 1 , :)
the first question too.. u write differently.. i did not get it.. please write answer again for them, i suppose u have the answers saved with you somewhere..
sir i didnt answer the 1st one , i asked about it
that ,