Advertisements
Advertisements
प्रश्न
Evaluate:
उत्तर
\[\int\frac{dx}{a^x b^x}\]
\[ = \int\left( a^{- x} b^{- x} \right)dx\]
\[ = \frac{a^{- x} b^{- x}}{- \log_e \left( ab \right)} + C\]
APPEARS IN
संबंधित प्रश्न
Evaluate :`int_0^(pi/2)1/(1+cosx)dx`
Evaluate : `int_0^4(|x|+|x-2|+|x-4|)dx`
If `int_0^a1/(4+x^2)dx=pi/8` , find the value of a.
Evaluate the integral by using substitution.
`int_0^1 x/(x^2 +1)`dx
If `f(x) = int_0^pi t sin t dt`, then f' (x) is ______.
Evaluate `int_0^(pi/4) (sinx + cosx)/(16 + 9sin2x) dx`
Evaluate of the following integral:
Evaluate of the following integral:
Evaluate of the following integral:
Evaluate of the following integral:
Evaluate:
Evaluate:
Evaluate the following definite integral:
Evaluate the following integral:
Evaluate the following integral:
Evaluate the following integral:
Evaluate the following integral:
Evaluate each of the following integral:
Evaluate each of the following integral:
Evaluate the following integral:
Evaluate the following integral:
Evaluate the following integral:
Evaluate the following integral:
Find : \[\int e^{2x} \sin \left( 3x + 1 \right) dx\] .
Evaluate: `int_ e^x ((2+sin2x))/cos^2 x dx`
`int_0^(pi4) sec^4x "d"x` = ______.
Each student in a class of 40, studies at least one of the subjects English, Mathematics and Economics. 16 study English, 22 Economics and 26 Mathematics, 5 study English and Economics, 14 Mathematics and Economics and 2 study all the three subjects. The number of students who study English and Mathematics but not Economics is
`int_0^1 x^2e^x dx` = ______.
Evaluate: `int_0^(π/2) sin 2x tan^-1 (sin x) dx`.
