Question

[*(sinx +cosx)dx
is equal to​

Answer 1

EXPLANATION.

⇒ ∫(sin x + cos x)dx.

As we know that,

We can write equation individually as,

⇒ ∫(sin x)dx + ∫(cos x)dx.

⇒ - cos x + sin x + c.

                                                                                                                             

MORE INFORMATION.

Standard integrals.

(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.