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inte^((logx+ax^(2)))cos(bx^(2)+c)dx is e...

`inte^((logx+ax^(2)))cos(bx^(2)+c)dx` is equal to

A

`1/(sqrt(a^(2)b^(2)))e^(ax^(2))cos(bx^(2)+c+tan^(-1)b/a)+A`

B

`1/(2sqrt(a^(2)+b^(2)))e^(x^(2))cos(bx-c-"tan"^(-1)b/a)+A`

C

`1/(sqrt(a^(2)+b^(2)))e^(ax^(2))cos(bx+c-"tan"^(-1)b/a)+A`

D

`1/(2sqrt(a^(2)+b^(2)))e^(ax^(2))cos(bx+c-"tan"^(-1)b/a)+A`

Text Solution

Verified by Experts

The correct Answer is:
D
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