Indefinite Integration · Mathematics · NDA

What is the value of $\alpha$ ?

What is the value of $\beta$ ?

What is the value of $\alpha$?

What is the value of $\beta$?

What is ∫(xx)2 (1 + ln x)dx equal to ?...

What is ∫ex{1 + ln x + x ln x}dx equal to ?...

What is $\int\frac{(\cos x)^{1.5}−(\sin x)^{1.5}}{\sqrt{\sin x⋅\cos x}}$dx equal to ?...

What is $\int (\sin x)^{-1/2} (\cos x)^{-3/2}dx$ equal to?

If $I_1 =\int\frac{e^x dx}{e^x + e^{-x}}$ and $I_2 =\int\frac{dx}{e^{2x} + 1},$then what is I1 + I2 equal to?...