JEE Main

AI Gen: Integrals question bank (Mathematics)

Practice 18 free JEE Main Mathematics - AI Gen: Integrals questions with answers and step-by-step solutions.

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Q1.

Evaluate the integral of x * e^x dx.

Topic: Integrals | Source: AI Generated (JEE Main)

(A)

(x - 1)e^x + C

(B)

(x + 1)e^x + C

(C)

x e^x + C

(D)

(x^2/2)e^x + C

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Q2.

Evaluate the definite integral from 0 to pi/2 of sin^3(x) cos(x) dx.

Topic: Integrals | Source: AI Generated (JEE Main)

(A)

1/2

(B)

1/4

(C)

1/3

(D)

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