Free Printable BasCal Last Quiz

1.

What word makes this statement wrong: “The integral of the product of a constant, a, and a function, f(x), is the quotient of the constant and the integral of the function.”?

a)

Product

b)

Constant

c)

Integral

d)

Quotient

2.

Solve: $\int3x\ dx$

a)

$3x^2\ +C$

b)

$3x^2$

c)

$\frac{3x^2}{2}+C$

d)

$\frac{3x^2}{2}$

3.

Solve: $\int2e^x\ dx$

a)

$2e^x+C$

b)

$e^x+C$

c)

$2e^x$

d)

$\frac{2e^x}{2}+C$

4.

Solve: $\int4\sin(x)\ dx$

a)

$-4\cos(x)+C$

b)

$-4\sin(x)+C$

c)

$\sin(x)+C$

d)

$4\cos(x)+C$

5.

Evaluate: $\int\left(4x^5-3x^3+8x^2-\frac{1}{x^2}+3\right)$

6.

Evaluate: $\int24^xdx$

a)

$\frac{24}{\ln\ 24}$

b)

$\frac{24}{\ln\ 24}+C$

c)

$\frac{24^x}{\ln\ 24}$

d)

$\frac{24^x}{\ln\ 24}+C$

7.

Evaluate: $\int\left(4\ \sec^2\ x\ +\ \cos\ x\ \right)\ dx$

8.

In evaluating $\int x^3\left(2+x^3\right)\ dx$ , what would be the substitution for 𝑢?

a)

2+x³

b)

x³

c)

3x²

d)

3x²+ C

9.

$\int-15x^4\left(-3x^5-1\right)^5dx$

10.

$\int\left(5x^4+5\right)^{\frac{2}{3}}\times20x^3$

a)

$\frac{3\left(5x^4+5\right)^{\frac{5}{3}}}{5}$

b)

$\frac{3\left(5x^4+5\right)^{\frac{5}{3}}}{5}+C$

c)

$\frac{2\left(5x^4\right)^{\frac{2}{3}}}{3}$

d)

$\frac{2\left(5x^4\right)^{\frac{2}{3}}}{3}+C$

11.

Evaluate the definite integral $\int_0^2x^2\ dx$

a)

2

b)

4

c)

8/3

d)

16/3

12.

Evaluate $\int_1^3\left(2x-1\right)\ dx$

a)

10

b)

8

c)

6

d)

4

13.

If $\int_1^5f\left(x\right)dx=10$ and $\int_1^3f\left(x\right)dx=4$ , what is the value of $\int_3^5f\left(x\right)=$ ?

14.

$\int_0^1x\left(x^2+1\right)^3dx$

a)

1/2

b)

15/8

c)

3/4

d)

1/4

15.

$\int_0^2x\sqrt[]{4-x^2}dx$

16.

Find $\int_0^1e^{2x}dx$

a)

e²- 1

b)

$\frac{e^2-1}{2}$

c)

$\frac{e^2}{2}$

d)

e²

17.

He is the proponent of Riemann Sum.

a)

Bernhard Riemann

b)

Riemann Bernhard

c)

Gottfried Riemann

d)

Arvin Bautista

18.

Pause: Kaya pa????

a)

Hindi na po!

b)

Laban pa!

c)

Yawq na po!

19.

Using the Vertical Bar Notation, the Fundamental Theorem of Calculus (FTOC) states that if F is an antiderivative of , then _____________.

a)

$\int_a^bf(x)dx=F(x)|_a^b$

b)

$\int_a^bf(x)dx=F(x)|_b^a$

c)

$\int_a^bf(x)dx=F(a)|_a^b$

d)

$\int_a^bf(x)dx=F(b)|_a^b$

20.

$\int_2^4\ \frac{x^2-9}{x+3}dx$

a)

0

b)

4

c)

12

d)

8

21.

What is the best method to find its area?

a)

Horizontal cross section

b)

Vertical cross section

c)

Diagonal cross section

d)

Individual cross section

22.

What will be the limits of integration of the plane region? (Write in the format (x)(x). Example (2)(5).)

23.

Find the area of the plane region. (No units needed)

BasCal Last Quiz

Total questions: 23

Worksheet time: 22mins

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