Integrate the following w.r.t.x. :-
(3x - 5)
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Answers
Answered by
27
Step-by-step explanation:
Integration will be applied separately on
3x and 5
Integrating 3x with respect to x =
Integrating 5 with respect to x =
So complete integration of 3x - 5 will be
Answered by
48
EXPLANATION.
⇒ ∫(3x - 5)dx.
As we know that,
We can write equation as,
⇒ ∫(3x)dx - ∫5dx.
As we know that,
Formula of :
⇒ ∫xⁿdx = xⁿ⁺¹/n + 1 + c, (n ≠ -1).
⇒ 3x²/2 - 5x + c.
MORE INFORMATION.
(1) = ∫0.dx = c.
(2) = ∫1.dx = x + c.
(3) = ∫k dx = kx + c, (k ∈ R).
(4) = ∫xⁿdx = xⁿ⁺¹/n + 1 + c, (n ≠ -1).
(5) = ∫dx/x = ㏒(x) + c.
(6) = ∫eˣdx = eˣ + c.
(7) = ∫aˣdx = aˣ/㏒(a) + c = aˣ㏒(e) + c.
Anonymous:
Great!
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