Mastering Integral Calculus

What is the integral of x^2 with respect to x?

• (x^4)/4 + C

• (x^2)/2 + C

• (x^3)/3 + C

• x^3 + C

Calculate the integral of sin(x) dx.

• -cos(x) + C

• tan(x) + C

• -sin(x) + C

• sin(x) + C

Find the integral of e^x dx.

• e^x * x

• e^x - C

• e^x + C

• e^x + 1

What is the definite integral of 1 from 0 to 1?

• 2

• 1

• 0.5

• 0

Evaluate the integral of cos(x) dx.

• -sin(x) + C

• tan(x) + C

• cos(x) + C

• sin(x) + C

What is the integral of 1/x dx?

• ln|x| + C

• x + C

• e^x + C

• 1/x^2 + C

Calculate the integral of x^3 from 1 to 2.

• 3.75

• 2.5

• 4.0

• 5.0

Find the area under the curve y = x^2 from x = 0 to x = 3.

• 9

• 15

• 12

• 6

What is the integral of tan(x) dx?

• ln|sin(x)| + C

• sin(x) + C

• cos(x) + C

• -ln|cos(x)| + C

Evaluate the integral of 2x + 3 dx.

• x^2 + 4x + C

• x^2 + 3x + C

• x^2 + 2x + C

• 2x^2 + 3x + C