Advertisements
Advertisements
Question
`int"e"^(4x - 3) "d"x` = ______ + c
Solution
`int"e"^(4x - 3) "d"x` = `bbunderline(1/4e^(4x-3)` + c
APPEARS IN
RELATED QUESTIONS
Integrate the function in x sin 3x.
Integrate the function in x log x.
Find :
`∫(log x)^2 dx`
Choose the correct options from the given alternatives :
`int sin (log x)*dx` =
Integrate the following w.r.t.x : log (log x)+(log x)–2
Integrate the following w.r.t.x : `(1)/(x^3 sqrt(x^2 - 1)`
Evaluate: Find the primitive of `1/(1 + "e"^"x")`
Evaluate: `int "dx"/("9x"^2 - 25)`
`int ["cosec"(logx)][1 - cot(logx)] "d"x`
`int x/((x + 2)(x + 3)) dx` = ______ + `int 3/(x + 3) dx`
`int(logx)^2dx` equals ______.
Find `int e^x ((1 - sinx)/(1 - cosx))dx`.
Evaluate the following.
`int (x^3)/(sqrt(1 + x^4))dx`
Evaluate:
`int (logx)^2 dx`
Complete the following activity:
`int_0^2 dx/(4 + x - x^2) `
= `int_0^2 dx/(-x^2 + square + square)`
= `int_0^2 dx/(-x^2 + x + 1/4 - square + 4)`
= `int_0^2 dx/ ((x- 1/2)^2 - (square)^2)`
= `1/sqrt17 log((20 + 4sqrt17)/(20 - 4sqrt17))`
Evaluate the following.
`intx^3 e^(x^2) dx`
Evaluate `int (1 + x + x^2/(2!))dx`
If ∫(cot x – cosec2 x)ex dx = ex f(x) + c then f(x) will be ______.
Evaluate.
`int(5x^2 - 6x + 3)/(2x - 3) dx`