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201.

`(cosx)/(sqrt(1+sinx))` का समाकलन कीजिए -

Answer» Correct Answer - `2sqrt(1+sinx)+c`
Discussion
202.

`sin^(5)x` फलनो का x के सापेक्ष समाकलन कीजिये ।

Answer» Correct Answer - `(2)/(21)(7-3sin^(2)x)sin^(3//2)x`
Discussion
203.

`(e^(2x)-e^(-2x))/(e^(2x) + e^(-2x))` का समाकलन कीजिए -

Answer» Correct Answer - `-(1)/(4)tan(7-4x)+c`
Discussion
204.

`(x^(5))/(sqrt(1+x^(3)))` फलनो का x के सापेक्ष समाकलन कीजिये ।

Answer» Correct Answer - `(2)/(9)(x^(3) - 2)sqrt(1+x^(3))`
Discussion
205.

`int (cossqrt(x))/(sqrt(x))dx` का मान ज्ञात कीजिये |

Answer» माना `sqrt(x) =t " "rArr (1)/(2sqrt(x)) dx = dt`
इसलिए` int(cossqrt(x))/(sqrt(x)) dx = 2 intcos t dt `
` = 2 sint +c = sin sqrt(x+c)`
Discussion
206.

`sec^(2)(4x+(pi)/(2))` का समाकलन कीजिये -

Answer» Correct Answer - `(1)/(4) tan (4x +pi//6)`
Discussion
207.

`sec^(4)x` फलनो का x के सापेक्ष समाकलन कीजिये ।

Answer» Correct Answer - `-cosx +(2)/(3)cos^(3)x-(1)/(5)cos^(5)x`
Discussion
208.

`(sec^(2)x)/(sqrt(tanx))` फलनो का x के सापेक्ष समाकलन कीजिये ।

Answer» Correct Answer - `-cot(tan^(-1)x)`
Discussion
209.

`sec^(2)(7 - 4x)` का समाकलन कीजिए -

Answer» Correct Answer - `(1)/(2)(sin^(-1)x)+c`
Discussion
210.

`(cossqrt(x))/(sqrt(x))` का समाकलन कीजिए -

Answer» Correct Answer - `2sqrt(1+sinx)+c`
Discussion
211.

`(x^(m-1))/(sqrt(1-x^(m)))` का समाकलन कीजिये -

Answer» Correct Answer - `-(2)/(m)sqrt((1-x^(m)))`
Discussion
212.

`(x)/(sqrt(1+x^(2)))` का समाकलन कीजिये -

Answer» Correct Answer - `sqrt(1+x^(2))`
Discussion
213.

`x(a^(2) +x^(2))^(n)` का समाकलन कीजिये -

Answer» Correct Answer - `((a^(2)+x^(2))^(n+1))/(2(n+1))`
Discussion
214.

`(x)/(1+x)^(4)` का समाकलन कीजिये -

Answer» Correct Answer - `(3)/(20)(x^(5)-1)^(4//3)`
Discussion
215.

`(x)/(sqrt((1-x^(4))))` का समाकलन कीजिये -

Answer» Correct Answer - `(1)/(2)sin^(-1)`
Discussion
216.

`(x^(2))/(1+x^(6))` का समाकलन कीजिये -

Answer» Correct Answer - `(1)/(3)tan^(-1)`
Discussion
217.

`(x)/(1+x^(4))` का समाकलन कीजिये -

Answer» Correct Answer - `(1)/(2)tan^(-1)x`
Discussion
218.

`(e^(sqrt(x)))/(sqrt(x))`का समाकलन कीजिये -

Answer» Correct Answer - `2e^(sqrt(x))`
Discussion
219.

`(1)/(x^(2))sin.(1)/(x)` का समाकलन कीजिये -

Answer» Correct Answer - `cos((1)/(x))`
Discussion
220.

`(e^(1//x))/(x^(2))`का समाकलन कीजिये -

Answer» Correct Answer - `-e^(1//x)`
Discussion
221.

`(secsqrt(x)tansqrt(x))/(sqrt(x))`का समाकलन कीजिये -

Answer» Correct Answer - `2secsqrt(x)`
Discussion