\(\frac{6}{7}\)
\(1\frac{1}{6}\)
\(\frac{1}{7}\)
\(3\frac{1}{6}\)
Correct answer is B
\(\int^1_0 x(x^2-2)^2 dx\)
\((x^2-2)^2=x^4-2x^2-2x^2+4\)
=\(x^4-4x^2+4\)
\(x(x^2-2)^2=x(x^4-4x^2+4)\)
=\(x^5-4x^3+4x\)
\(\int^1_0 x(x^2-2)^2 dx = \int^1_0 x^5 - 4x^3 + 4x dx\)
=\((\frac{x^6}{6} - x^4+2x^2)^1_0\)
= \((\frac{(1)^6}{6} - (1)^4 +2(1)^2)-(\frac{(0)^6}{6} - (0)^4+2(0)^2)\)
=\(\frac{7}{6} - 0 =\frac{7}{6}\)
\(\therefore 1\frac{1}{6}\)
Given that g ; x \(\to\) 3x and f ; x \(\to\) cos x. Find the value of g\(^o\) f(20\(^o\)) ...
P, Q, R, S are points in a plane such that PQ = 8i - 5j, QR = 5i + 7j, RS = 7i + 3j and PS = x...
Marks 5-7 8-10 11-13 14-16 17-19 20-22 No of students 4 7 26 41 14 8 T...
Differentiate \(\frac{5x^ 3+x^2}{x}\), x ≠ 0 with respect to x....
Given that \(P = \begin{pmatrix} -2 & 1 \\ 3 & 4 \end{pmatrix}\) and \(Q = \begin{pmatrix} 5...
Express \(\log \frac{1}{8} + \log \frac{1}{2}\) in terms of \(\log 2\)...
Given that \(a = i - 3j\) and \(b = -2i + 5j\) and \(c = 3i - j\), calculate \(|a - b + c|\)....
If \(4x^{2} + 5kx + 10\) is a perfect square, find the value of k...
Find the derivative of \(\sqrt[3]{(3x^{3} + 1}\) with respect to x....