JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

I=\int x^{27}\left(6 x^2+5 x+4\right)\left(x^2+x+1\right)^6 d x=f(x)+C

, then

f(x)

is equal to

View answer and explanation

Correct option: A

\frac{1}{7}\left(x^6+x^5+x^4\right)^7

Option D (

\frac{1}{2} x^2 e^{x^2} e^{x^4}+C

) is correct because by using the substitution

x^2=t

and recognizing the pattern for integration, the integral simplifies to the given expression.

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