JEE Mains · Maths · STD 12 - 7.2 definite integral
If \(\int \limits_0^1\left(x^{21}+x^{14}+x^7\right)\left(2 x^{14}+3 x^7+6\right)^{1 / 7} d x=\frac{1}{l}(11)^{m / n}\) where \(l, m , n \in N , m\) and \(n\) are coprime then \(l+m+n\) is equal to \(...........\).
- A \(62\)
- B \(61\)
- C \(63\)
- D \(64\)
Answer & Solution
Correct Answer
(C) \(63\)
Step-by-step Solution
Detailed explanation
\(\int\left(x^{20}+x^{13}+x^6\right)\left(2 x^{21}+3 x^{14}+6 x^7\right)^{1 / 7} d x\) \(2 x ^{21}+3 x ^{14}+6 x ^7= t\) \(42\left( x ^{20}+ x ^{13}+ x ^6\right) dx = dt\)…
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