Questions from General Calculus

Q: Calculate the following integrals. 0∫5 (5 +

Calculate the following integrals. 0∫5 (5 + 3x)-1 dx

Q: Calculate the following integrals. -2∫2 3/

Calculate the following integrals. -2∫2 3/2e3x dx

Q: Calculate the following integrals. 0∫ln 2 (ex

Calculate the following integrals. 0∫ln 2 (ex - e-x) dx

Q: Find the value of k that makes the antidifferentiation formula true.

Find the value of k that makes the antidifferentiation formula true. ∫ (5x - 7)-2 dx = k(5x - 7)-1 + C

Q: Calculate the following integrals. ln 2∫ln 3 (

Calculate the following integrals. ln 2∫ln 3 (ex + e-x) dx

Q: Calculate the following integrals. 0∫ln 3 (ex

Calculate the following integrals. 0∫ln 3 (ex + e-x)/ e2x dx

Q: Calculate the following integrals. 0∫1 (3 +

Calculate the following integrals. 0∫1 (3 + e2x)/ex dx

Q: Find the area under the curve y = (3x - 2

Find the area under the curve y = (3x - 2)-3 from x = 1 to x = 2.

Q: Find the area under the curve y = 1 + √x

Find the area under the curve y = 1 + √x from x = 1 to x = 9.

Q: Find the area of the shaded region. /

Find the area of the shaded region.