If I=∫x276x2+5x+4×2+x+16dx=f(x)+C, then f(x) is equal to

# If $I=\int {x}^{27}\left(6{x}^{2}+5x+4\right){\left({x}^{2}+x+1\right)}^{6}dx=f\left(x\right)+C$, then $f\left(x\right)$ is equal to

1. A

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

2. B

$\frac{1}{7}{\left(6{x}^{5}+5{x}^{4}+4{x}^{3}\right)}^{7}$

3. C

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

4. D

$\frac{1}{7}{\left({x}^{5}+{x}^{4}+{x}^{3}\right)}^{7}$

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

We have

Hence, $f\left(x\right)=\frac{1}{7}{\left({x}^{6}+{x}^{5}+{x}^{4}\right)}^{7}$.

## Related content

 How to Score 100 in Class 6 Maths using NCERT Solutions TS EAMCET Previous Year Question Papers CBSE Class 8 English Syllabus Academic Year 2023-2024 CBSE Class 7 English Syllabus Academic Year 2023-2024 CBSE Worksheets for Class 7 with Answers COMEDK UGET Mock Test 2024 (Available) – Free Mock Test Series Indian tribes Maurya Empire CBSE Class 10 Science Important Topics – You Should Not Miss in Board Exam 2024 CBSE Class 6 Social Science: Important Tips and Topics

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)