Skip to content
We use only essential cookies to keep you signed in and remember your preferences. See our Cookie Policy.
TestStop
MocksPracticeResourcesIndiaBlogPricing
Sign in
Questions › CUET-PG › CUET-PG 2023 Shift 1 › Q95
4 marks, −1Mathematics › Integration and its applications › Indefinite and definite integralsEasyabout 1 min

CUET-PG 2023 Shift 1 Question 95: Integration and its applications

∫100x dx=?\int 100^x \, dx = ?∫100xdx=?

  1. 100xln⁡100+C\frac{100^x}{\ln 100} + Cln100100x​+C
  2. x100ln⁡100+C\frac{x^{100}}{\ln 100} + Cln100x100​+C
  3. 100x+1x+1+C\frac{100^{x+1}}{x+1} + Cx+1100x+1​+C
  4. 100x−1x−1+C\frac{100^{x-1}}{x-1} + Cx−1100x−1​+C

Tap an option to check your answer.

Answer and worked solution

Checking your account…

Plain-text version

∫ 100^x dx =? 1. 100^x/(ln 100) + C 2. x¹⁰⁰/(ln 100) + C 3. (100^(x+1))/(x+1) + C 4. (100^(x-1))/(x-1) + C (A) 100^x/(ln 100) + C (B) x¹⁰⁰/(ln 100) + C (C) (100^(x+1))/(x+1) + C (D) (100^(x-1))/(x-1) + C

Also written as: integral 100^x dx =? 1. 100^x/(ln 100) + C 2. x^(100)/(ln 100) + C 3. (100^(x+1))/(x+1) + C 4. (100^(x-1))/(x-1) + C

Integration and its applications has come up 43 times in 6 exams since 2007.

What this question tests

This question is on Indefinite and definite integrals, part of Integration and its applications in Mathematics.

Antiderivatives and areas under curves for standard functions.

TestStop has 21 past-paper questions on this subtopic.

Take this paper as a timed mockMore on Indefinite and definite integrals

Similar questions from other papers

  • IIT JAM 2026 · Q10The area under the curve f(x)=x⁵ e^(x³) between x=1 and x=2 is
  • UGC-NET 2025 · Q5Assume that the rate of investment is described by the function I(t) = 12 t^(1/3) and capital stock k(0) = 25. Find the time path of capital stock k.
  • IIT JAM 2024 · Q46Let the inverse demand function be p = e^(-x/2), where x is quantity and p is price. Then, at p = 0.5, the consumer surplus is equal to (rounded off to two decimal…
  • IIT JAM 2023 · Q47Let E be the area of the region bounded by y=x² and y=8√x, x≥0. Then 30E is equal to (round off to 1 decimal place).
  • UGC-NET 2023 · Q15Integrate the integral of x*sqrt(x^2 + 1) dx, for x > 0.

Question from the CUET-PG 2023 Shift 1 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.