15 Multiple Choice Calculus Equation Questions & Solutions

1.

Evaluate the integral: the integral of the quantity x cubed over 4 plus 2 times x squared over 3 minus 1, dx (4 points)


2.

Evaluate the integral of the quotient of the quantity x cubed minus x squared and x squared, dx . (4 points)



3.

Evaluate the integral the integral of the quotient of the sine of x and the quantity 1 minus sine squared x, dx . (4 points)



4.

If f(x) and g(x) are continuous on [a, b], which one of the following statements is true? (4 points)



5.

Evaluate the integral the integral of the cube root of x to the fifth power, dx . (4 points)

1.


Evaluate the integral the integral of the product of x cubed and the 5th power of x to the fourth plus 1, dx . (4 points)


2.

Evaluate the integral the integral of cosecant squared of 5 times x, dx . (4 points)



3.

Which of the following integrals cannot be evaluated using a simple substitution? (4 points)



4.

Evaluate the integral of the quotient of 3 times x squared and the square root of 1 minus x cubed, dx . (4 points)



5.

Evaluate the integral the integral of the quotient of x squared and the quantity x plus 1, dx . (4 points)

1.

Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 – x2 and the x-axis? (4 points)


2.

Suppose the integral from 2 to 8 of g of x, dx equals 5 , and the integral from 6 to 8 of g of x, dx equals negative 3 , find the value of the integral from 2 to 6 of 2 times g of x, dx . (4 points)



3.

Evaluate the integral the integral from negative 1 to 1 of the absolute value of x, dx . (4 points)



4.

Use your graphing calculator to evaluate to three decimal places the value of the integral negative 2 to 0 of the product x squared and the square root of x cubed over 8 plus 1, dx . (4 points)



5.

the integral from 2 to 3 of 1 divided by the quantity 3 times x minus 2, dx is equal to the integral from 4 to 7 of 1 divided by u, du (4 points)