1. TÌM CÁC HỌ NGUYÊN HÀM SAUZZ Z√ XDX. B)X 7 + 4X 3 − √A)(2X − 3) DX...

8.1. Tìm các họ nguyên hàm sau

Z

Z

√ x

dx. b)

x ⁷ + 4x ³ − √

a)

(2x − 3) dx.

x

3x ² + 1

dx. c)

x + 1 − 1

√

Z √

dx.

3 cos x − 3 ^x−1

dx. f)

(x + 1) dx. e)

3 sin x + 2

x − 2x

x √

d)

x

Lời giải.

dx =

x ⁷ + 4x ³ − x

dx = x ⁸

8 + x ⁴ − 2x

3 + C.

b)

dx = 3x

x

+ 1 − x ⁻

4 + x − 2x

+ C.

c)

(2x − 3) dx =

6x ³ − 9x ² + 2x − 3

dx = 3x ⁴

2 − 3x ³ + x ² − 3x + C.

dx = x ³

x ² + x − 2x

− 2x

(x + 1) dx =

5 + C.

3 + x ²

7 − 4x

2 − 4x

dx = −3 cos x + 2 ln |x| + C.

e)

f)

3 cos x − 3 ^x

dx = 3 sin x − 3 ^x

3

3 ln 3 + C.