Integrate the function (x³-1)⅓.x⁵
CBSE, JEE, NEET, CUET
Question Bank, Mock Tests, Exam Papers
NCERT Solutions, Sample Papers, Notes, Videos
Posted by Prince Goyal 3 years, 11 months ago
- 2 answers
Gaurav Seth 3 years, 11 months ago
given function is ∫(x³ - )^⅓ x^5.dx
let (x³ - 1) = t , and x³ = (1 + t)
⇒3x² = dt/dx
⇒dx = dt/3x²
So, ∫(x³ - 1)^⅓ x^5 * dt/3x²
⇒1/3 ∫t^⅓ (1 + t) *dt
⇒1/3 ∫(t^⅓ + t^{4/3}).dt
⇒1/3 ∫t^{1/3}.dt + 1/3∫t^{4/3}.dt
⇒1/3 + 1/3
+ c
put the value of t in the above function,
⇒.
Related Questions
Posted by Xxxxxx Xx 4 months ago
- 3 answers
Posted by Tumngam Karbak 4 months, 2 weeks ago
- 0 answers
Posted by Xxxxxx Xx 4 months ago
- 0 answers
Posted by Karan Kumar Mohanta 4 months, 1 week ago
- 0 answers
Posted by Sanjay Kumar 4 months, 2 weeks ago
- 0 answers
Posted by Suchitra Jain 4 months ago
- 0 answers
Posted by Charu Baid 4 months ago
- 0 answers
Posted by Sanjna Gupta 4 months ago
- 4 answers
Posted by Sneha Pandey 4 months, 3 weeks ago
- 0 answers
Posted by Neemisha Gusain 4 months, 2 weeks ago
- 0 answers
myCBSEguide
Trusted by 1 Crore+ Students
Test Generator
Create papers online. It's FREE.
CUET Mock Tests
75,000+ questions to practice only on myCBSEguide app
Mahi Kumari 3 years, 11 months ago
1Thank You