Advertisements
Advertisements
Question
Choose the correct alternative:
`intx^(2)3^(x^3) "d"x` =
Options
`(3)^(x^3) + "c"`
`((3)^(x^3))/(3log3) + "c"`
`log 3*(3)^(x^3) + "c"`
`x^2 (3)^(x^2) + "c"`
Advertisements
Solution
`((3)^(x^3))/(3log3) + "c"`
APPEARS IN
RELATED QUESTIONS
`int1/xlogxdx=...............`
(A)log(log x)+ c
(B) 1/2 (logx )2+c
(C) 2log x + c
(D) log x + c
Integrate the function in x log x.
Integrate the function in x2 log x.
Integrate the function in x sin−1 x.
Integrate the function in `(xe^x)/(1+x)^2`.
`intx^2 e^(x^3) dx` equals:
Evaluate the following:
`int x^2 sin 3x dx`
Evaluate the following : `int(sin(logx)^2)/x.log.x.dx`
Choose the correct options from the given alternatives :
`int sin (log x)*dx` =
Integrate the following w.r.t. x: `(1 + log x)^2/x`
Integrate the following w.r.t.x : log (x2 + 1)
Evaluate the following.
`int x^2 e^4x`dx
Evaluate the following.
`int "e"^"x" "x"/("x + 1")^2` dx
Choose the correct alternative from the following.
`int (1 - "x")^(-2) "dx"` =
Evaluate: `int "dx"/(3 - 2"x" - "x"^2)`
Evaluate: `int e^x/sqrt(e^(2x) + 4e^x + 13)` dx
Evaluate: `int "dx"/("x"[(log "x")^2 + 4 log "x" - 1])`
`int sqrt(tanx) + sqrt(cotx) "d"x`
`int"e"^(4x - 3) "d"x` = ______ + c
Evaluate `int (2x + 1)/((x + 1)(x - 2)) "d"x`
`int_0^"a" sqrt("x"/("a" - "x")) "dx"` = ____________.
`int cot "x".log [log (sin "x")] "dx"` = ____________.
If u and v ore differentiable functions of x. then prove that:
`int uv dx = u intv dx - int [(du)/(d) intv dx]dx`
Hence evaluate `intlog x dx`
`int x/((x + 2)(x + 3)) dx` = ______ + `int 3/(x + 3) dx`
Find: `int (2x)/((x^2 + 1)(x^2 + 2)) dx`
`intsqrt(1+x) dx` = ______
`int1/(x+sqrt(x)) dx` = ______
Evaluate:
`int((1 + sinx)/(1 + cosx))e^x dx`
`int (sin^-1 sqrt(x) + cos^-1 sqrt(x))dx` = ______.
Evaluate the following.
`intx^3/sqrt(1+x^4) dx`
