\(8(2x + 1)^2 + k\)
\(6(2x + 1)^2 + k\)
\(\frac{1}{8} (2x + 1)^4 + k\)
\(\frac{1}{6} (2x + 1)^4 + k\)
Correct answer is C
Using substitution method, Let \(u = 2x + 1\)
\(\frac{du}{dx}=2==>du=2dx==>dx=\frac{du}{2}\)
=\(\int\frac{u^3}{2} du = \frac{1}{2}\int u^3 du\)
=\(\frac{1}{2}(\frac{u^4}{4})=\frac{u^4}{8}\)
\(\therefore\frac{1}{8} (2x + 1)^4 + k\)
Which of the following is a factor of the polynomial \(6x^{4} + 2x^{3} + 15x + 5\)?...
Find the acute angle between the lines 2x + y = 4 and -3x + y + 7 = 0. ...
If 2i +pj and 4i -2j are perpendicular, find the value of p. ...
Find the standard deviation of the numbers 3,6,2,1,7 and 5. ...
Express \(\frac{8 - 3\sqrt{6}}{2\sqrt{3} + 3\sqrt{2}}\) in the form \(p\sqrt{3} + q\sqrt{2}\)...
What is the angle between \(a = (3i - 4j)\) and \(b = (6i + 4j)\)?...