Math 12 Chapter 3IntegrationTest - 7

Math 12 Chapter 3
Integration
Test - 7

1. ∫ lnx dx =………………..

a) 1 / x
b) 1 / x lnx
c) 1 / x log₁₀x
d) None

2. ∫e ^{ax + b} dx =…………

a) (1/a) e ^{ax + b}
b) (1/b) e^{ax + b}
c) ae ^{ax + b}+ c
d) e ^{ax + b}

3. ∫3 ^{dx + μ} dx =…………………….

a) 3 ^{dx + μ}
b) 1/d 3^{dx + μ}
c) 3 dx + μ + c / d ln3
d) 3 ^{dx + μ} ln3

4. ∫tan x dx =……………………

a) ln Sinx
b) ln Cosx
c) Sec²x
d) ln Secx + c

5. ∫Cot x dx =…………………………

a) ln Cosx + c
b) ln Sinx + c
c) CoSecⁱx + c
d) None

6. Sin^-1 x dx =………………

a) Cos ^-1x + c
b) 1 / √ 1-x² + c
c) -1 / √ 1-x² + c
d) 1 / √ x²-1 + c

7. ∫ln x dx =……………………

a) lna – lnb
b) lnb – lna
c) lna + lnb
d) None

8. ∫ e^x ( Sin x + Cos x ) dx =……………..

a) e^xSin x + c
b) e^x Cos x + c
c) e^x ln Sinx + c
d) None

9. ∫dx/x²+4=…………………..

a) tan^-1(x/4) + c
b) tan^-1(x/2) + c
c) ¼ tan^-1(x/4)
d) ½ tan^-1(x/2) + c

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