Indefinite Inte...

Find the value of b if \(\rm \int \frac{dx}{\sqrt {9-x^{2}}}=sin^{-1}\frac{x}{b}+C\)

Find the antiderivative of f(x) = 12x³ – 15x² + 64

\(\rm \int \sqrt {x^2+2x+5}\ dx\) is equal to:

Evaluate: \(\smallint \frac{{dx}}{{{e^x} - 1}}\)

Find the \(\smallint \frac{2}{{{\rm{sin}}2{\rm{x}}.{\rm{log}}\left( {{\rm{tanx}}} \right)}}\)

Evaluate \(\smallint {e^x}\left( {\frac{1}{x} - \frac{1}{{{x^2}}}} \right)dx\)

If \(\rm \int \sqrt{1 - sin 2x} \space dx\) = A sinx + B cosx + C, where 0 < x < \(\frac{\pi}{4}\), then which one of the following is correct?

If \(I_1 = \displaystyle\int_e^{e^2} \dfrac{dx}{\log x}\)and \(I_2 = \displaystyle\int_1^2 \dfrac{e^x}{x} dx\) then

If \(\rm \displaystyle\int \dfrac{1}{\sqrt{9-16x^2}}dx=\alpha \sin^{-1} (\beta x)+c\) then \(\rm \alpha + \dfrac{1}{\beta}=\)

Integral of sec² x with respect to sec x is