Advertisements
Advertisements
Question
Integrate the following functions with respect to x :
sin2 5x
Solution
`int sin^2 5x "d"x = int (1 - cos2(5x))/2 "d"x`
= `1/2 int (1 - cos 10x) "d"x`
= `1/2 [int "d"x - int cos 10x "d"x]`
`int sin^2 5x "d"x = 1/2[x - (sin 10x)/10] + "c"`
APPEARS IN
RELATED QUESTIONS
Integrate the following functions with respect to x :
`[sqrt(x) + 1/sqrt(x)]^2`
Integrate the following functions with respect to x :
`(sin4x)/sinx`
Integrate the following functions with respect to x :
`(3x + 4) sqrt(3x + 7)`
Integrate the following functions with respect to x :
`(x + 1)/((x + 2)(x + 3))`
Integrate the following functions with respect to x :
`x^3/((x - 1)(x - 2))`
Integrate the following with respect to x :
`x/sqrt(1 + x^2)`
Integrate the following with respect to x :
`cot x/(log(sin x))`
Integrate the following with respect to x :
x(1 – x)17
Integrate the following with respect to x:
25xe–5x
Integrate the following with respect to x:
x3 sin x
Integrate the following with respect to x:
`tan^-1 ((8x)/(1 - 16x^2))`
Integrate the following with respect to x:
`"e"^x ((x - 1)/(2x^2))`
Find the integrals of the following:
`1/(9x^2 - 4)`
Find the integrals of the following:
`1/sqrt((2 + x)^2 - 1)`
Integrate the following with respect to x:
`(x + 2)/sqrt(x^2 - 1)`
Choose the correct alternative:
`int 2^(3x + 5) "d"x` is
Choose the correct alternative:
`int "e"^(sqrt(x)) "d"x` is
